I would like to write a for loop to calculate fwhm value based on a range of Strain values. Say Strain = 50:10:150 and find the corresponding fwhm values in a vector

X = (0:0.01:0.3);
Y = -9200*(X).^2 + 2760*X;

%Plot Graph 
% Create figure
figure1 = figure('Color',[1 1 1]);
% Create axes
axes1 = axes('Parent',figure1);
hold(axes1,'on');
% Create scatter
plot(X,Y,'DisplayName','Voltage');
% Create ylabel
ylabel('Strain');
xlabel('Time')

% Find the Given threshold Strain
Strain = 30;
hold on;
yline(Strain, 'Color', 'r', 'LineWidth', 1);

 
%Find elements where y is above the thresholdHeight
aboveThreshold = Y > Strain;
smallFontSize = 8;

% Label each group.
[groups, numRegions] = bwlabel(aboveThreshold);
fwhm=zeros(1,length(numRegions))';
x1val=zeros(1,length(numRegions))';
x2val=zeros(1,length(numRegions))';

%loop
for r = 1 : numRegions
	% Get a mask for this particular group
	mask = groups == r;
    % Logical "map" of where this group is.
	indexes = find(mask); 
    % Get actual element (index) numbers.    
    % Find left edge
	index1 = min(indexes);
	x1 = X(index1);
	% Find right edge
	index2 = max(indexes);
	x2 = X(index2);
    x1val(r)=x1;
    x2val(r)=x2;
	% Compute the full width, half max.
	fwhm(r) = x2 - x1;
end

Answer 1

[Star Strider]

Calculating the width for every value of ‘Strain’ is reasonably straightforward —

X = (0:0.01:0.3);
Y = -9200*(X).^2 + 2760*X;

%Plot Graph 
% Create figure
figure1 = figure('Color',[1 1 1]);
% Create axes
axes1 = axes('Parent',figure1);
hold(axes1,'on');
% Create scatter
plot(X,Y,'DisplayName','Voltage');
% Create ylabel
ylabel('Strain');
xlabel('Time')

% Find the Given threshold Strain
Strain = 50:10:150;
hold on;
yline(Strain, 'Color', 'r', 'LineWidth', 1);

Xend = numel(X);
for k1 = 1:numel(Strain)
    idx = find(diff(sign(Y-Strain(k1))));
    for k2 = 1:numel(idx)
        idxrng = max(1,idx(k2)-2) : min(Xend,idx(k2)+2);
        xval(k1,k2) = interp1(Y(idxrng), X(idxrng), Strain(k1));
    end
    wdth(k1) = diff(xval(k1,:));
end
Strain = Strain(:);
Width = wdth(:);
Result = table(Strain, Width)

Result = 11×2 table
    Strain     Width 
    ______    _______

      50      0.26122
      60      0.25263
      70      0.24393
      80      0.23482
      90      0.22537
     100      0.21553
     110      0.20518
     120      0.19428
     130      0.18284
     140      0.17038
     150      0.15728

Calculating the full-width-half-maximum would be similar, however it would be necessary to first calculate the half-maximum value based on every value of ‘Strain’ (half the difference between the value of ‘Strain’ and the fixed maximum) and then do the same calculations.

.

[Rufus Adjetey]

Thanks for your answer, But I would love to find the x1 and x2 values for each strain value where the red line intercepts the curve and to compute for each fwhm value = x2-x1. With the way your code is written if strain value is above 200, the fwhm value should be zero instead it gives a non zero value.

So that for each Strain value. I can have Result = (Strain, x1, x2, fwhm)

Many thanks

[Star Strider]

My pleasure!

My code does exactly that for the posted original values for ‘Strain’. The times for each intercept are in the ‘xval’ matrix (each row corresponds to a different ‘Strain’ value), and the widths are in the ‘wdth’ variable. All the results for each ‘Strain’ value are in the ‘Result’ table.

This update tests for an empty value of ‘idx’ and produces the desired result for values above the maximum value of ‘Y’.

X = (0:0.01:0.3);
Y = -9200*(X).^2 + 2760*X;

%Plot Graph 
% Create figure
figure1 = figure('Color',[1 1 1]);
% Create axes
axes1 = axes('Parent',figure1);
hold(axes1,'on');
% Create scatter
plot(X,Y,'DisplayName','Voltage');
% Create ylabel
ylabel('Strain');
xlabel('Time')

% Find the Given threshold Strain
Strain = 50:10:220;
% hold on;
yline(Strain, 'Color', 'r', 'LineWidth', 1);
Xend = numel(X);
for k1 = 1:numel(Strain)
%     Q = Strain(k1)
    idx = find(diff(sign(Y-Strain(k1))));
    if ~isempty(idx)
        for k2 = 1:numel(idx)
            idxrng = max(1,idx(k2)-2) : min(Xend,idx(k2)+2);
            xval(k1,k2) = interp1(Y(idxrng), X(idxrng), Strain(k1));
        end
    else
        xval(k1,:) = [0 0];
    end
    wdth(k1,:) = diff(xval(k1,:));
end
Strain = Strain(:);
Width = wdth;
[maxY,ixY] = max(Y);
text(X(ixY)*ones(size(Strain)),Strain, compose('\\Delta t = %.5f',wdth), 'Horiz','center', 'Vert','middle', 'FontSize',9)

Result = table(Strain, Width)

Result = 18×2 table
    Strain     Width  
    ______    ________

      50       0.26122
      60       0.25263
      70       0.24393
      80       0.23482
      90       0.22537
     100       0.21553
     110       0.20518
     120       0.19428
     130       0.18284
     140       0.17038
     150       0.15728
     160       0.14278
     170       0.12649
     180       0.10791
     190      0.085507
     200      0.054435

.

[Rufus Adjetey]

Thank you so much. This helps me understand the code really well. I have been wanting to apply this approach to a larger data set.

So please permit me to ask another question. Could this be done on a similar data like the one attached?

So for every threshhold say at A = 30, delta1A,delta2A,delta3A could be found? Similar for B,C and D?

Many thanks

[Rufus Adjetey]

Also I would like to accept this answer, but I do not see the button to do that. Could you replace the first answer with this please? So I can accept it.

Many thanks

[Star Strider]

Just below my name in my original answer, you should see:

I have asked MathWorks for help in case it is not showing up for some reason. (I do not get see same controls you see, so I cannot determine what the problem is.)

[Star Strider]

My pleasure!

It would be necessary to set up a third loop to define the limits of the peaks, then run my code over each peak. The easiest way to locate the peak centres would be with the findpeaks function. The details of that code would depend on the data.

[Rufus Adjetey]

X = [0.0318400000000000,0.0368000000000000,0.0417600000000000,0.0467200000000000,0.0516800000000000,0.0566400000000000,0.0616000000000000,0.101280000000000,0.106240000000000,0.111200000000000,0.116160000000000,0.121120000000000,0.126080000000000,0.165760000000000,0.170720000000000,0.175680000000000,0.180640000000000,0.185600000000000,0.190560000000000,0.195520000000000,0.230240000000000,0.235200000000000,0.240160000000000,0.245120000000000,0.250080000000000,0.255040000000000,0.260000000000000,0.264960000000000,0.299680000000000,0.304640000000000,0.309600000000000,0.314560000000000,0.319520000000000,0.324480000000000,0.329440000000000,0.364160000000000,0.369120000000000,0.374080000000000,0.379040000000000,0.384000000000000,0.388960000000000,0.393920000000000,0.433600000000000,0.438560000000000,0.443520000000000,0.448480000000000,0.453440000000000,0.458400000000000,0.498080000000000,0.503040000000000,0.508000000000000,0.512960000000000,0.517920000000000,0.522880000000000,0.527840000000000,0.567520000000000,0.572480000000000,0.577440000000000,0.582400000000000,0.587360000000000,0.592320000000000,0.632000000000000,0.636960000000000,0.641920000000000,0.646880000000000,0.651840000000000,0.656800000000000,0.661760000000000,0.696480000000000,0.701440000000000,0.706400000000000,0.711360000000000,0.716320000000000,0.721280000000000,0.726240000000000,0.765920000000000,0.770880000000000,0.775840000000000,0.780800000000000,0.785760000000000,0.790720000000000,0.830400000000000,0.835360000000000,0.840320000000000,0.845280000000000,0.850240000000000,0.855200000000000,0.860160000000000,0.899840000000000,0.904800000000000,0.909760000000000,0.914720000000000,0.919680000000000,0.924640000000000,0.964320000000000,0.969280000000000,0.974240000000000,0.979200000000000,0.984160000000000,0.989120000000000,0.994080000000000,1.03376000000000,1.03872000000000,1.04368000000000,1.04864000000000,1.05360000000000,1.05856000000000,1.09824000000000,1.10320000000000,1.10816000000000,1.11312000000000,1.11808000000000,1.12304000000000,1.12800000000000,1.16272000000000,1.16768000000000,1.17264000000000,1.17760000000000,1.18256000000000,1.18752000000000,1.19248000000000,1.23216000000000,1.23712000000000,1.24208000000000,1.24704000000000,1.25200000000000,1.25696000000000,1.26192000000000,1.29664000000000,1.30160000000000,1.30656000000000,1.31152000000000,1.31648000000000,1.32144000000000,1.32640000000000,1.36608000000000,1.37104000000000,1.37600000000000,1.38096000000000,1.38592000000000,1.39088000000000,1.43056000000000,1.43552000000000,1.44048000000000,1.44544000000000,1.45040000000000,1.45536000000000,1.46032000000000,1.50000000000000,1.50496000000000,1.50992000000000,1.51488000000000,1.51984000000000,1.52480000000000,1.56448000000000,1.56944000000000,1.57440000000000,1.57936000000000,1.58432000000000,1.58928000000000,1.59424000000000,1.63392000000000,1.63888000000000,1.64384000000000,1.64880000000000,1.65376000000000,1.65872000000000,1.69840000000000,1.70336000000000,1.70832000000000,1.71328000000000,1.71824000000000,1.72320000000000,1.72816000000000,1.76288000000000,1.76784000000000,1.77280000000000,1.77776000000000,1.78272000000000,1.78768000000000,1.79264000000000,1.83232000000000,1.83728000000000,1.84224000000000,1.84720000000000,1.85216000000000,1.85712000000000,1.86208000000000,1.89680000000000,1.90176000000000,1.90672000000000,1.91168000000000,1.91664000000000,1.92160000000000,1.92656000000000,1.96624000000000,1.97120000000000,1.97616000000000,1.98112000000000,1.98608000000000,1.99104000000000,2.03072000000000,2.03568000000000,2.04064000000000,2.04560000000000,2.05056000000000,2.05552000000000,2.06048000000000,2.10016000000000,2.10512000000000,2.11008000000000,2.11504000000000,2.12000000000000,2.12496000000000,2.16464000000000,2.16960000000000,2.17456000000000,2.17952000000000,2.18448000000000,2.18944000000000,2.19440000000000,2.22912000000000,2.23408000000000,2.23904000000000,2.24400000000000,2.24896000000000,2.25392000000000,2.25888000000000,2.29856000000000,2.30352000000000,2.30848000000000,2.31344000000000,2.31840000000000,2.32336000000000,2.32832000000000,2.36304000000000,2.36800000000000,2.37296000000000,2.37792000000000,2.38288000000000,2.38784000000000,2.39280000000000,2.43248000000000,2.43744000000000,2.44240000000000,2.44736000000000,2.45232000000000,2.45728000000000,2.49696000000000,2.50192000000000,2.50688000000000,2.51184000000000,2.51680000000000,2.52176000000000,2.52672000000000,2.56640000000000,2.57136000000000,2.57632000000000,2.58128000000000,2.58624000000000,2.59120000000000,2.63088000000000,2.63584000000000,2.64080000000000,2.64576000000000,2.65072000000000,2.65568000000000,2.66064000000000,2.70032000000000,2.70528000000000,2.71024000000000,2.71520000000000,2.72016000000000,2.72512000000000,2.76480000000000,2.76976000000000,2.77472000000000,2.77968000000000,2.78464000000000,2.78960000000000,2.79456000000000,2.82928000000000,2.83424000000000,2.83920000000000,2.84416000000000,2.84912000000000,2.85408000000000,2.85904000000000,2.89872000000000,2.90368000000000,2.90864000000000,2.91360000000000,2.91856000000000,2.92352000000000,2.92848000000000,2.96320000000000,2.96816000000000,2.97312000000000,2.97808000000000,2.98304000000000,2.98800000000000,2.99296000000000,3.03264000000000,3.03760000000000,3.04256000000000,3.04752000000000,3.05248000000000,3.05744000000000,3.09712000000000,3.10208000000000,3.10704000000000,3.11200000000000,3.11696000000000,3.12192000000000,3.12688000000000,3.16656000000000,3.17152000000000,3.17648000000000,3.18144000000000,3.18640000000000,3.19136000000000,3.23104000000000,3.23600000000000,3.24096000000000,3.24592000000000,3.25088000000000,3.25584000000000,3.26080000000000,3.30048000000000,3.30544000000000,3.31040000000000,3.31536000000000,3.32032000000000,3.32528000000000,3.36496000000000,3.36992000000000,3.37488000000000,3.37984000000000,3.38480000000000,3.38976000000000,3.39472000000000,3.42944000000000,3.43440000000000,3.43936000000000,3.44432000000000,3.44928000000000,3.45424000000000,3.45920000000000,3.49888000000000,3.50384000000000,3.50880000000000,3.51376000000000,3.51872000000000,3.52368000000000,3.52864000000000,3.56336000000000,3.56832000000000,3.57328000000000,3.57824000000000,3.58320000000000,3.58816000000000,3.59312000000000,3.63280000000000,3.63776000000000,3.64272000000000,3.64768000000000,3.65264000000000,3.65760000000000,3.69728000000000,3.70224000000000,3.70720000000000,3.71216000000000,3.71712000000000,3.72208000000000,3.72704000000000,3.76672000000000,3.77168000000000,3.77664000000000,3.78160000000000,3.78656000000000,3.79152000000000,3.83120000000000,3.83616000000000,3.84112000000000,3.84608000000000,3.85104000000000,3.85600000000000,3.86096000000000,3.89568000000000,3.90064000000000,3.90560000000000,3.91056000000000,3.91552000000000,3.92048000000000,3.92544000000000,3.96512000000000,3.97008000000000,3.97504000000000,3.98000000000000,3.98496000000000,3.98992000000000,3.99488000000000,4.02960000000000,4.03456000000000,4.03952000000000,4.04448000000000,4.04944000000000,4.05440000000000,4.05936000000000,4.09904000000000,4.10400000000000,4.10896000000000,4.11392000000000,4.11888000000000,4.12384000000000,4.16352000000000,4.16848000000000,4.17344000000000,4.17840000000000,4.18336000000000,4.18832000000000,4.19328000000000,4.23296000000000,4.23792000000000,4.24288000000000,4.24784000000000,4.25280000000000,4.25776000000000,4.29744000000000,4.30240000000000,4.30736000000000,4.31232000000000,4.31728000000000,4.32224000000000,4.32720000000000,4.36688000000000,4.37184000000000,4.37680000000000,4.38176000000000,4.38672000000000,4.39168000000000,4.43136000000000,4.43632000000000,4.44128000000000,4.44624000000000,4.45120000000000,4.45616000000000,4.46112000000000,4.49584000000000,4.50080000000000,4.50576000000000,4.51072000000000,4.51568000000000,4.52064000000000,4.52560000000000,4.56528000000000,4.57024000000000,4.57520000000000,4.58016000000000,4.58512000000000,4.59008000000000,4.59504000000000,4.62976000000000,4.63472000000000,4.63968000000000,4.64464000000000,4.64960000000000,4.65456000000000,4.65952000000000,4.69920000000000,4.70416000000000,4.70912000000000,4.71408000000000,4.71904000000000,4.72400000000000,4.76368000000000,4.76864000000000,4.77360000000000,4.77856000000000,4.78352000000000,4.78848000000000,4.79344000000000,4.83312000000000,4.83808000000000,4.84304000000000,4.84800000000000,4.85296000000000,4.85792000000000,4.89760000000000,4.90256000000000,4.90752000000000,4.91248000000000,4.91744000000000,4.92240000000000,4.92736000000000,4.96704000000000,4.97200000000000,4.97696000000000,4.98192000000000,4.98688000000000,4.99184000000000,5.03152000000000];
Y = [0.0237235890000000,0.0991239370000000,0.141935999000000,0.138421576000000,0.118613010000000,0.0837882730000000,0.0304329420000000,0.132351209000000,0.284429877000000,0.311906275000000,0.291458723000000,0.244812745000000,0.153757240000000,0.0623822420000000,0.429160206000000,0.599130482000000,0.599449975000000,0.558554871000000,0.467499366000000,0.170051383000000,0.0301134490000000,0.613827160000000,0.979327152000000,1.08060643300000,1.03204349700000,0.928847258000000,0.566542196000000,0.0186117010000000,0.479320607000000,1.02501465100000,1.26878781000000,1.24386735600000,1.15089489300000,0.785394901000000,0.130434251000000,0.102318867000000,0.879964829000000,1.36207976600000,1.44642591800000,1.37134506300000,1.10360992900000,0.463345957000000,0.728844640000000,1.42821481700000,1.69467197900000,1.64355309900000,1.46208107500000,0.874213955000000,0.389543074000000,1.36559418900000,1.85250152100000,1.88413132800000,1.77582320100000,1.30201508200000,0.368456536000000,1.09785905500000,1.85761340900000,2.08668989000000,2.00010728700000,1.68444820300000,0.862392714000000,0.694019903000000,1.71863395400000,2.20873621600000,2.20745824400000,2.02854216400000,1.35888483600000,0.186345526000000,0.205834599000000,1.40872574400000,2.18125981800000,2.38669381700000,2.27519076000000,1.79914619000000,0.760793940000000,0.953128726000000,2.00330221700000,2.48765360500000,2.44420255700000,2.17039705600000,1.31319733700000,0.399127864000000,1.67102949700000,2.42183804700000,2.56369293900000,2.43653472500000,1.81735729100000,0.598810989000000,1.17805179800000,2.20713875100000,2.64644162600000,2.57391671500000,2.20330483500000,1.19498492700000,0.550567546000000,1.86240580400000,2.57934809600000,2.66081881100000,2.48509766100000,1.74770781700000,0.419894909000000,1.35505092000000,2.34995212200000,2.71928603000000,2.62567458100000,2.15953429400000,1.05153257000000,0.776449097000000,2.02822267100000,2.66784765700000,2.69724101300000,2.46337213700000,1.62885642100000,0.239061871000000,0.146728394000000,1.53013308400000,2.45762126300000,2.75059634400000,2.63973227300000,2.08860684800000,0.892105563000000,0.956323656000000,2.15953429400000,2.72855132700000,2.71800805800000,2.42726942800000,1.49914226300000,0.0655771720000000,0.342577603000000,1.70010336000000,2.56560989700000,2.77104389600000,2.64356618900000,2.00234373800000,0.731081091000000,1.12916936900000,2.27135684400000,2.78190665800000,2.72631487600000,2.36496829300000,1.35441193400000,0.483793509000000,1.85761340900000,2.64292720300000,2.77391933300000,2.61193638200000,1.88477031400000,0.546733630000000,1.29434725000000,2.35602248900000,2.79564485700000,2.71800805800000,2.27710771800000,1.18635861600000,0.640984065000000,1.98125720000000,2.70363087300000,2.77455831900000,2.56209547400000,1.74738832400000,0.361747183000000,1.44674541100000,2.44707799400000,2.81705088800000,2.71641059300000,2.19180308700000,1.02309769300000,0.848974008000000,2.11736121800000,2.75379127400000,2.77232186800000,2.50490622700000,1.61511822200000,0.186026033000000,0.211265980000000,1.61671568700000,2.53589704800000,2.81737038100000,2.70075543600000,2.09627468000000,0.856002854000000,1.03172400400000,2.23493464200000,2.79915928000000,2.77615578400000,2.45314836100000,1.47422180900000,0.0157362640000000,0.390501553000000,1.77294776400000,2.63334241300000,2.81928733900000,2.67423751700000,1.98924452500000,0.687949536000000,1.21319602800000,2.34739617800000,2.83653996100000,2.77232186800000,2.37742852000000,1.31447530900000,0.528842022000000,1.94195956100000,2.72887082000000,2.84548576500000,2.66337475500000,1.87742197500000,0.505838526000000,1.36207976600000,2.45346785400000,2.88222746000000,2.79628384300000,2.30522310200000,1.15217286500000,0.724691231000000,2.08093901600000,2.80810508400000,2.86337737300000,2.62503559500000,1.74962477500000,0.324366502000000,0.0617432560000000,1.53907888800000,2.54164792200000,2.90299450500000,2.79883978700000,2.22215492200000,0.984758533000000,0.917345510000000,2.21065317400000,2.85379258300000,2.86114092200000,2.56784634800000,1.60776988300000,0.142255492000000,0.278040017000000,1.69339400700000,2.62631356700000,2.88286644600000,2.76593200800000,2.11001287900000,0.808078904000000,1.07996744700000,2.29340186100000,2.86816976800000,2.83685945400000,2.47902729400000,1.44035555100000,0.420853388000000,1.84036078700000,2.70650631000000,2.87967151600000,2.73046828500000,1.98828604600000,0.633955219000000,1.26399541500000,2.38733280300000,2.88733934800000,2.81737038100000,2.38893026800000,1.27805310700000,0.568459154000000,1.99467590600000,2.76976592400000,2.87104520500000,2.67583498200000,1.85537695800000,0.451205223000000,1.42054698500000,2.47870780100000,2.89820211000000,2.80778559100000,2.28605352200000,1.11095826800000,0.792104254000000,2.13046043100000,2.82631618500000,2.86657230300000,2.61896522800000,1.71416105200000,0.277081538000000,0.125322363000000,1.59179523300000,2.57807012400000,2.91321828100000,2.80554914000000,2.20106838400000,0.942904950000000,0.96622793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% Create scatter
plot(X,Y,'DisplayName','Voltage',...
    'Marker','NONE');
% Create ylabel
ylabel('Voltage [V]');
xlabel('No. of Cycles');

% Find the Given threshold Voltage
for v = 1:0.5:2.5
hold on;
yline(v, 'Color', 'r', 'LineWidth', 1);
end

Please see the above data as an example, for the different thresholds, that is v values, I would want to calculate the delat values betwwemn each peaks.

many thanks

[Rufus Adjetey]

Thank you Star. I have been able to accept.

many thanks

[Star Strider]

Thank you!

[Star Strider]

Try this —

X = [0.0318400000000000,0.0368000000000000,0.0417600000000000,0.0467200000000000,0.0516800000000000,0.0566400000000000,0.0616000000000000,0.101280000000000,0.106240000000000,0.111200000000000,0.116160000000000,0.121120000000000,0.126080000000000,0.165760000000000,0.170720000000000,0.175680000000000,0.180640000000000,0.185600000000000,0.190560000000000,0.195520000000000,0.230240000000000,0.235200000000000,0.240160000000000,0.245120000000000,0.250080000000000,0.255040000000000,0.260000000000000,0.264960000000000,0.299680000000000,0.304640000000000,0.309600000000000,0.314560000000000,0.319520000000000,0.324480000000000,0.329440000000000,0.364160000000000,0.369120000000000,0.374080000000000,0.379040000000000,0.384000000000000,0.388960000000000,0.393920000000000,0.433600000000000,0.438560000000000,0.443520000000000,0.448480000000000,0.453440000000000,0.458400000000000,0.498080000000000,0.503040000000000,0.508000000000000,0.512960000000000,0.517920000000000,0.522880000000000,0.527840000000000,0.567520000000000,0.572480000000000,0.577440000000000,0.582400000000000,0.587360000000000,0.592320000000000,0.632000000000000,0.636960000000000,0.641920000000000,0.646880000000000,0.651840000000000,0.656800000000000,0.661760000000000,0.696480000000000,0.701440000000000,0.706400000000000,0.711360000000000,0.716320000000000,0.721280000000000,0.726240000000000,0.765920000000000,0.770880000000000,0.775840000000000,0.780800000000000,0.785760000000000,0.790720000000000,0.830400000000000,0.835360000000000,0.840320000000000,0.845280000000000,0.850240000000000,0.855200000000000,0.860160000000000,0.899840000000000,0.904800000000000,0.909760000000000,0.914720000000000,0.919680000000000,0.924640000000000,0.964320000000000,0.969280000000000,0.974240000000000,0.979200000000000,0.984160000000000,0.989120000000000,0.994080000000000,1.03376000000000,1.03872000000000,1.04368000000000,1.04864000000000,1.05360000000000,1.05856000000000,1.09824000000000,1.10320000000000,1.10816000000000,1.11312000000000,1.11808000000000,1.12304000000000,1.12800000000000,1.16272000000000,1.16768000000000,1.17264000000000,1.17760000000000,1.18256000000000,1.18752000000000,1.19248000000000,1.23216000000000,1.23712000000000,1.24208000000000,1.24704000000000,1.25200000000000,1.25696000000000,1.26192000000000,1.29664000000000,1.30160000000000,1.30656000000000,1.31152000000000,1.31648000000000,1.32144000000000,1.32640000000000,1.36608000000000,1.37104000000000,1.37600000000000,1.38096000000000,1.38592000000000,1.39088000000000,1.43056000000000,1.43552000000000,1.44048000000000,1.44544000000000,1.45040000000000,1.45536000000000,1.46032000000000,1.50000000000000,1.50496000000000,1.50992000000000,1.51488000000000,1.51984000000000,1.52480000000000,1.56448000000000,1.56944000000000,1.57440000000000,1.57936000000000,1.58432000000000,1.58928000000000,1.59424000000000,1.63392000000000,1.63888000000000,1.64384000000000,1.64880000000000,1.65376000000000,1.65872000000000,1.69840000000000,1.70336000000000,1.70832000000000,1.71328000000000,1.71824000000000,1.72320000000000,1.72816000000000,1.76288000000000,1.76784000000000,1.77280000000000,1.77776000000000,1.78272000000000,1.78768000000000,1.79264000000000,1.83232000000000,1.83728000000000,1.84224000000000,1.84720000000000,1.85216000000000,1.85712000000000,1.86208000000000,1.89680000000000,1.90176000000000,1.90672000000000,1.91168000000000,1.91664000000000,1.92160000000000,1.92656000000000,1.96624000000000,1.97120000000000,1.97616000000000,1.98112000000000,1.98608000000000,1.99104000000000,2.03072000000000,2.03568000000000,2.04064000000000,2.04560000000000,2.05056000000000,2.05552000000000,2.06048000000000,2.10016000000000,2.10512000000000,2.11008000000000,2.11504000000000,2.12000000000000,2.12496000000000,2.16464000000000,2.16960000000000,2.17456000000000,2.17952000000000,2.18448000000000,2.18944000000000,2.19440000000000,2.22912000000000,2.23408000000000,2.23904000000000,2.24400000000000,2.24896000000000,2.25392000000000,2.25888000000000,2.29856000000000,2.30352000000000,2.30848000000000,2.31344000000000,2.31840000000000,2.32336000000000,2.32832000000000,2.36304000000000,2.36800000000000,2.37296000000000,2.37792000000000,2.38288000000000,2.38784000000000,2.39280000000000,2.43248000000000,2.43744000000000,2.44240000000000,2.44736000000000,2.45232000000000,2.45728000000000,2.49696000000000,2.50192000000000,2.50688000000000,2.51184000000000,2.51680000000000,2.52176000000000,2.52672000000000,2.56640000000000,2.57136000000000,2.57632000000000,2.58128000000000,2.58624000000000,2.59120000000000,2.63088000000000,2.63584000000000,2.64080000000000,2.64576000000000,2.65072000000000,2.65568000000000,2.66064000000000,2.70032000000000,2.70528000000000,2.71024000000000,2.71520000000000,2.72016000000000,2.72512000000000,2.76480000000000,2.76976000000000,2.77472000000000,2.77968000000000,2.78464000000000,2.78960000000000,2.79456000000000,2.82928000000000,2.83424000000000,2.83920000000000,2.84416000000000,2.84912000000000,2.85408000000000,2.85904000000000,2.89872000000000,2.90368000000000,2.90864000000000,2.91360000000000,2.91856000000000,2.92352000000000,2.92848000000000,2.96320000000000,2.96816000000000,2.97312000000000,2.97808000000000,2.98304000000000,2.98800000000000,2.99296000000000,3.03264000000000,3.03760000000000,3.04256000000000,3.04752000000000,3.05248000000000,3.05744000000000,3.09712000000000,3.10208000000000,3.10704000000000,3.11200000000000,3.11696000000000,3.12192000000000,3.12688000000000,3.16656000000000,3.17152000000000,3.17648000000000,3.18144000000000,3.18640000000000,3.19136000000000,3.23104000000000,3.23600000000000,3.24096000000000,3.24592000000000,3.25088000000000,3.25584000000000,3.26080000000000,3.30048000000000,3.30544000000000,3.31040000000000,3.31536000000000,3.32032000000000,3.32528000000000,3.36496000000000,3.36992000000000,3.37488000000000,3.37984000000000,3.38480000000000,3.38976000000000,3.39472000000000,3.42944000000000,3.43440000000000,3.43936000000000,3.44432000000000,3.44928000000000,3.45424000000000,3.45920000000000,3.49888000000000,3.50384000000000,3.50880000000000,3.51376000000000,3.51872000000000,3.52368000000000,3.52864000000000,3.56336000000000,3.56832000000000,3.57328000000000,3.57824000000000,3.58320000000000,3.58816000000000,3.59312000000000,3.63280000000000,3.63776000000000,3.64272000000000,3.64768000000000,3.65264000000000,3.65760000000000,3.69728000000000,3.70224000000000,3.70720000000000,3.71216000000000,3.71712000000000,3.72208000000000,3.72704000000000,3.76672000000000,3.77168000000000,3.77664000000000,3.78160000000000,3.78656000000000,3.79152000000000,3.83120000000000,3.83616000000000,3.84112000000000,3.84608000000000,3.85104000000000,3.85600000000000,3.86096000000000,3.89568000000000,3.90064000000000,3.90560000000000,3.91056000000000,3.91552000000000,3.92048000000000,3.92544000000000,3.96512000000000,3.97008000000000,3.97504000000000,3.98000000000000,3.98496000000000,3.98992000000000,3.99488000000000,4.02960000000000,4.03456000000000,4.03952000000000,4.04448000000000,4.04944000000000,4.05440000000000,4.05936000000000,4.09904000000000,4.10400000000000,4.10896000000000,4.11392000000000,4.11888000000000,4.12384000000000,4.16352000000000,4.16848000000000,4.17344000000000,4.17840000000000,4.18336000000000,4.18832000000000,4.19328000000000,4.23296000000000,4.23792000000000,4.24288000000000,4.24784000000000,4.25280000000000,4.25776000000000,4.29744000000000,4.30240000000000,4.30736000000000,4.31232000000000,4.31728000000000,4.32224000000000,4.32720000000000,4.36688000000000,4.37184000000000,4.37680000000000,4.38176000000000,4.38672000000000,4.39168000000000,4.43136000000000,4.43632000000000,4.44128000000000,4.44624000000000,4.45120000000000,4.45616000000000,4.46112000000000,4.49584000000000,4.50080000000000,4.50576000000000,4.51072000000000,4.51568000000000,4.52064000000000,4.52560000000000,4.56528000000000,4.57024000000000,4.57520000000000,4.58016000000000,4.58512000000000,4.59008000000000,4.59504000000000,4.62976000000000,4.63472000000000,4.63968000000000,4.64464000000000,4.64960000000000,4.65456000000000,4.65952000000000,4.69920000000000,4.70416000000000,4.70912000000000,4.71408000000000,4.71904000000000,4.72400000000000,4.76368000000000,4.76864000000000,4.77360000000000,4.77856000000000,4.78352000000000,4.78848000000000,4.79344000000000,4.83312000000000,4.83808000000000,4.84304000000000,4.84800000000000,4.85296000000000,4.85792000000000,4.89760000000000,4.90256000000000,4.90752000000000,4.91248000000000,4.91744000000000,4.92240000000000,4.92736000000000,4.96704000000000,4.97200000000000,4.97696000000000,4.98192000000000,4.98688000000000,4.99184000000000,5.03152000000000];
Y = [0.0237235890000000,0.0991239370000000,0.141935999000000,0.138421576000000,0.118613010000000,0.0837882730000000,0.0304329420000000,0.132351209000000,0.284429877000000,0.311906275000000,0.291458723000000,0.244812745000000,0.153757240000000,0.0623822420000000,0.429160206000000,0.599130482000000,0.599449975000000,0.558554871000000,0.467499366000000,0.170051383000000,0.0301134490000000,0.613827160000000,0.979327152000000,1.08060643300000,1.03204349700000,0.928847258000000,0.566542196000000,0.0186117010000000,0.479320607000000,1.02501465100000,1.26878781000000,1.24386735600000,1.15089489300000,0.785394901000000,0.130434251000000,0.102318867000000,0.879964829000000,1.36207976600000,1.44642591800000,1.37134506300000,1.10360992900000,0.463345957000000,0.728844640000000,1.42821481700000,1.69467197900000,1.64355309900000,1.46208107500000,0.874213955000000,0.389543074000000,1.36559418900000,1.85250152100000,1.88413132800000,1.77582320100000,1.30201508200000,0.368456536000000,1.09785905500000,1.85761340900000,2.08668989000000,2.00010728700000,1.68444820300000,0.862392714000000,0.694019903000000,1.71863395400000,2.20873621600000,2.20745824400000,2.02854216400000,1.35888483600000,0.186345526000000,0.205834599000000,1.40872574400000,2.18125981800000,2.38669381700000,2.27519076000000,1.79914619000000,0.760793940000000,0.953128726000000,2.00330221700000,2.48765360500000,2.44420255700000,2.17039705600000,1.31319733700000,0.399127864000000,1.67102949700000,2.42183804700000,2.56369293900000,2.43653472500000,1.81735729100000,0.598810989000000,1.17805179800000,2.20713875100000,2.64644162600000,2.57391671500000,2.20330483500000,1.19498492700000,0.550567546000000,1.86240580400000,2.57934809600000,2.66081881100000,2.48509766100000,1.74770781700000,0.419894909000000,1.35505092000000,2.34995212200000,2.71928603000000,2.62567458100000,2.15953429400000,1.05153257000000,0.776449097000000,2.02822267100000,2.66784765700000,2.69724101300000,2.46337213700000,1.62885642100000,0.239061871000000,0.146728394000000,1.53013308400000,2.45762126300000,2.75059634400000,2.63973227300000,2.08860684800000,0.892105563000000,0.956323656000000,2.15953429400000,2.72855132700000,2.71800805800000,2.42726942800000,1.49914226300000,0.0655771720000000,0.342577603000000,1.70010336000000,2.56560989700000,2.77104389600000,2.64356618900000,2.00234373800000,0.731081091000000,1.12916936900000,2.27135684400000,2.78190665800000,2.72631487600000,2.36496829300000,1.35441193400000,0.483793509000000,1.85761340900000,2.64292720300000,2.77391933300000,2.61193638200000,1.88477031400000,0.546733630000000,1.29434725000000,2.35602248900000,2.79564485700000,2.71800805800000,2.27710771800000,1.18635861600000,0.640984065000000,1.98125720000000,2.70363087300000,2.77455831900000,2.56209547400000,1.74738832400000,0.361747183000000,1.44674541100000,2.44707799400000,2.81705088800000,2.71641059300000,2.19180308700000,1.02309769300000,0.848974008000000,2.11736121800000,2.75379127400000,2.77232186800000,2.50490622700000,1.61511822200000,0.186026033000000,0.211265980000000,1.61671568700000,2.53589704800000,2.81737038100000,2.70075543600000,2.09627468000000,0.856002854000000,1.03172400400000,2.23493464200000,2.79915928000000,2.77615578400000,2.45314836100000,1.47422180900000,0.0157362640000000,0.390501553000000,1.77294776400000,2.63334241300000,2.81928733900000,2.67423751700000,1.98924452500000,0.687949536000000,1.21319602800000,2.34739617800000,2.83653996100000,2.77232186800000,2.37742852000000,1.31447530900000,0.528842022000000,1.94195956100000,2.72887082000000,2.84548576500000,2.66337475500000,1.87742197500000,0.505838526000000,1.36207976600000,2.45346785400000,2.88222746000000,2.79628384300000,2.30522310200000,1.15217286500000,0.724691231000000,2.08093901600000,2.80810508400000,2.86337737300000,2.62503559500000,1.74962477500000,0.324366502000000,0.0617432560000000,1.53907888800000,2.54164792200000,2.90299450500000,2.79883978700000,2.22215492200000,0.984758533000000,0.917345510000000,2.21065317400000,2.85379258300000,2.86114092200000,2.56784634800000,1.60776988300000,0.142255492000000,0.278040017000000,1.69339400700000,2.62631356700000,2.88286644600000,2.76593200800000,2.11001287900000,0.808078904000000,1.07996744700000,2.29340186100000,2.86816976800000,2.83685945400000,2.47902729400000,1.44035555100000,0.420853388000000,1.84036078700000,2.70650631000000,2.87967151600000,2.73046828500000,1.98828604600000,0.633955219000000,1.26399541500000,2.38733280300000,2.88733934800000,2.81737038100000,2.38893026800000,1.27805310700000,0.568459154000000,1.99467590600000,2.76976592400000,2.87104520500000,2.67583498200000,1.85537695800000,0.451205223000000,1.42054698500000,2.47870780100000,2.89820211000000,2.80778559100000,2.28605352200000,1.11095826800000,0.792104254000000,2.13046043100000,2.82631618500000,2.86657230300000,2.61896522800000,1.71416105200000,0.277081538000000,0.125322363000000,1.59179523300000,2.57807012400000,2.91321828100000,2.80554914000000,2.20106838400000,0.942904950000000,0.966227939000000,2.24867284100000,2.86273838700000,2.85858497800000,2.54484285200000,1.56208238400000,0.0863442170000000,0.323727516000000,1.74706883100000,2.66593069900000,2.90075805400000,2.77232186800000,2.08732887600000,0.772615181000000,1.14514401900000,2.33525544400000,2.88957579900000,2.84708323000000,2.46944250400000,1.39882146100000,0.470374803000000,1.88860423000000,2.73845561000000,2.89372920800000,2.72855132700000,1.95090536500000,0.592421129000000,1.31511429500000,2.43174233000000,2.91098183000000,2.83366452400000,2.37838699900000,1.23588003100000,0.635872177000000,2.03461253100000,2.79596435000000,2.87903253000000,2.66912562900000,1.81895475600000,0.397849892000000,1.47166586500000,2.51576898900000,2.91769118300000,2.81800936700000,2.27359329500000,1.07166062900000,0.848335022000000,2.16496567500000,2.84995866700000,2.87551810700000,2.60394905700000,1.67134899000000,0.215738882000000,0.189540456000000,1.64163614100000,2.60426855000000,2.91769118300000,2.80522964700000,2.17518945100000,0.899453902000000,1.02373667900000,2.28253909900000,2.88638086900000,2.86944774000000,2.53525806200000,1.52885511200000,0.0342668580000000,0.359830225000000,1.78988089300000,2.68861470200000,2.88797833400000,2.75634721800000,2.05474059000000,0.715745427000000,1.20041630800000,2.36560727900000,2.90331399800000,2.85059765300000,2.44739748700000,1.35888483600000,0.505199540000000,1.94419601200000,2.75986164100000,2.89436819400000,2.71704957900000,1.92534592500000,0.547372616000000,1.35920432900000,2.46081619300000,2.91321828100000,2.83238655200000,2.35474451700000,1.19051202500000,0.698173312000000,2.07231270500000,2.81609240900000,2.88701985500000,2.65890185300000,1.78892241400000,0.355037830000000,0.0186117010000000,1.52502119600000,2.54707930300000,2.92280307100000,2.81832886000000,2.25090929200000,1.02597313000000,0.901051367000000,2.20809723000000,2.85251461100000,2.86912824700000,2.58733542100000,1.63428780200000,0.160786086000000,0.239700857000000,1.67486341300000,2.62695255300000,2.90555044900000,2.78893550400000,2.13940623500000,0.838750232000000,1.06399279700000,2.30554259500000,2.88957579900000,2.86369686600000,2.51576898900000,1.48284812000000,0.400405836000000,1.83908281500000,2.71449363500000,2.90299450500000,2.75219380900000,2.02215230400000,0.672294379000000,1.25153518800000,2.38637432400000,2.91066233700000,2.84644424400000,2.42758892100000,1.32310162000000,0.547692109000000,1.99180046900000,2.78446260200000,2.89756312400000,2.69883847800000,1.89307713200000,0.494017285000000,1.41671306900000,2.49691890200000,2.92376155000000,2.83749844000000,2.33493595100000,1.16367461300000,0.762071912000000,2.12087564100000,2.83909590500000,2.89053427800000,2.65091452800000,1.75793159300000,0.311267289000000,0.0802738500000000,1.57614007600000,2.57902860300000,2.92951242400000,2.82248226900000,2.23205920500000,0.982841575000000,0.947377852000000,2.24164399500000,2.86880875400000,2.86753078200000,2.57072178500000,1.60489444600000,0.123085912000000,0.299765541000000,1.73365012500000,2.66241627600000,2.92024712700000,2.79149144800000,2.11672223200000,0.800411072000000,1.12246001600000,2.34196479700000,2.89724363100000,2.85954345700000,2.49596042300000,1.44706490400000,0.443217898000000,1.88892372300000,2.73781662400000,2.90331399800000,2.74197003300000,1.99371742700000,0.631399275000000,1.29402775700000,2.42247703300000,2.92024712700000,2.85123663900000,2.40394643900000,1.28124803700000,0.603603384000000,2.03173709400000,2.80203471700000,2.89564616600000,2.68605875800000,1.85729391600000,0.446093335000000,1.46016411700000,2.52567327200000,2.91673270400000,2.82376024100000,2.29627729800000,1.11127776100000,0.818941666000000];
Strain = 1:0.5:2.5;

[pks,plocs] = findpeaks(Y);
[vys,vlocs] = findpeaks(-Y);
vlocs = [1 vlocs numel(Y)];

for k1 = 1:numel(vlocs)-1
    idx = vlocs(k1) : vlocs(k1+1);
    [Width(k1,:),Results{k1}] = interpStrain(X(idx), Y(idx), Strain);
    figure
    plot(X(idx), Y(idx))
    yline(Strain, 'Color', 'r', 'LineWidth', 1);
    text(X(plocs(k1))*ones(size(Strain)),Strain, compose('\\Delta t = %.5f',Width(k1,:)), 'Horiz','center', 'Vert','middle', 'FontSize',9)
    xlabel('No. of Cycles');
    ylabel('Voltage [V]');
    title(sprintf('Peak #%3d',k1))
    
    fprintf('\nPeak #%3d —\n',k1)
    Strain_Width_Table = Results{k1}
end

Peak #  1 —

Strain_Width_Table = 4×2 table
    Strain    Width
    ______    _____

       1        0  
     1.5        0  
       2        0  
     2.5        0  

Peak #  2 —

Strain_Width_Table = 4×2 table
    Strain    Width
    ______    _____

       1        0  
     1.5        0  
       2        0  
     2.5        0  

Peak #  3 —

Strain_Width_Table = 4×2 table
    Strain    Width
    ______    _____

       1        0  
     1.5        0  
       2        0  
     2.5        0  

Peak #  4 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.010448
     1.5             0
       2             0
     2.5             0

Peak #  5 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.017155
     1.5             0
       2             0
     2.5             0

Peak #  6 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.019408
     1.5             0
       2             0
     2.5             0

Peak #  7 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.021816
     1.5      0.012507
       2             0
     2.5             0

Peak #  8 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.023302
     1.5      0.016398
       2             0
     2.5             0

Peak #  9 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.029293
     1.5       0.018328
       2      0.0068387
     2.5              0

Peak # 10 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.024837
     1.5      0.019853
       2      0.012244
     2.5             0

Peak # 11 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.025343
     1.5      0.020683
       2      0.013951
     2.5             0

Peak # 12 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.038175
     1.5      0.021136
       2      0.015882
     2.5             0

Peak # 13 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.025784
     1.5       0.021799
       2       0.016204
     2.5      0.0047115

Peak # 14 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.049003
     1.5       0.021748
       2       0.016878
     2.5      0.0076027

Peak # 15 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.025894
     1.5       0.022136
       2       0.017191
     2.5      0.0089005

Peak # 16 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.047299
     1.5        0.02207
       2       0.017339
     2.5      0.0092422

Peak # 17 —

Strain_Width_Table = 4×2 table
    Strain      Width  
    ______    _________

       1       0.026159
     1.5       0.022393
       2       0.017746
     2.5      0.0094446

Peak # 18 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026253
     1.5      0.022388
       2      0.017695
     2.5       0.01046

Peak # 19 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026347
     1.5      0.022554
       2      0.017821
     2.5      0.010671

Peak # 20 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026309
     1.5      0.022531
       2      0.018131
     2.5      0.011407

Peak # 21 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.053828
     1.5      0.022475
       2       0.01785
     2.5      0.010805

Peak # 22 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026216
     1.5      0.022557
       2      0.018155
     2.5      0.011586

Peak # 23 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.053982
     1.5      0.022413
       2      0.017803
     2.5      0.010748

Peak # 24 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026147
     1.5      0.022507
       2      0.018173
     2.5      0.011696

Peak # 25 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.046402
     1.5      0.022512
       2      0.017911
     2.5      0.011257

Peak # 26 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026344
     1.5      0.022654
       2      0.018153
     2.5      0.011925

Peak # 27 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026401
     1.5      0.022636
       2      0.018157
     2.5      0.011761

Peak # 28 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.033576
     1.5      0.022739
       2      0.018144
     2.5       0.01183

Peak # 29 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026384
     1.5      0.022684
       2      0.018453
     2.5       0.01195

Peak # 30 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.056789
     1.5       0.02268
       2       0.01816
     2.5      0.011793

Peak # 31 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026319
     1.5      0.022756
       2      0.018701
     2.5      0.012394

Peak # 32 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.055705
     1.5      0.022677
       2      0.018254
     2.5      0.012374

Peak # 33 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026402
     1.5      0.022833
       2      0.018717
     2.5       0.01273

Peak # 34 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026549
     1.5      0.022866
       2       0.01845
     2.5      0.012696

Peak # 35 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.02654
     1.5       0.02293
       2      0.018622
     2.5      0.012999

Peak # 36 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026499
     1.5      0.022842
       2      0.018629
     2.5      0.012603

Peak # 37 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.05361
     1.5      0.022798
       2      0.018367
     2.5      0.012806

Peak # 38 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026396
     1.5      0.022818
       2      0.018848
     2.5      0.012643

Peak # 39 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.056975
     1.5      0.022767
       2      0.018327
     2.5      0.012477

Peak # 40 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026321
     1.5      0.022816
       2      0.018932
     2.5      0.012709

Peak # 41 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.055823
     1.5      0.022785
       2      0.018331
     2.5      0.012594

Peak # 42 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026494
     1.5      0.022916
       2      0.018757
     2.5      0.012898

Peak # 43 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026577
     1.5      0.022914
       2       0.01858
     2.5       0.01282

Peak # 44 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026559
     1.5      0.022944
       2      0.018592
     2.5      0.013076

Peak # 45 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026546
     1.5      0.022917
       2      0.018804
     2.5      0.012788

Peak # 46 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.057305
     1.5      0.022852
       2      0.018452
     2.5      0.013005

Peak # 47 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.02642
     1.5      0.022845
       2      0.018877
     2.5      0.012769

Peak # 48 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.057701
     1.5      0.022832
       2       0.01844
     2.5      0.012849

Peak # 49 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026367
     1.5      0.022849
       2      0.018906
     2.5      0.012835

Peak # 50 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.054962
     1.5      0.022898
       2      0.018459
     2.5      0.012892

Peak # 51 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026516
     1.5      0.022929
       2      0.018714
     2.5      0.013007

Peak # 52 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026601
     1.5      0.022949
       2      0.018675
     2.5       0.01286

Peak # 53 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.034134
     1.5      0.023019
       2      0.018631
     2.5      0.013268

Peak # 54 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026487
     1.5        0.0229
       2      0.018883
     2.5      0.012773

Peak # 55 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.057889
     1.5      0.022882
       2      0.018475
     2.5      0.012993

Peak # 56 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026425
     1.5      0.022902
       2      0.019033
     2.5       0.01286

Peak # 57 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.057711
     1.5      0.022848
       2      0.018466
     2.5      0.012942

Peak # 58 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.02644
     1.5      0.022905
       2      0.018898
     2.5      0.012934

Peak # 59 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.034779
     1.5      0.022963
       2      0.018551
     2.5      0.012931

Peak # 60 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.02656
     1.5      0.022979
       2      0.018726
     2.5      0.013088

Peak # 61 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026517
     1.5      0.022883
       2      0.018678
     2.5      0.012788

Peak # 62 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.053774
     1.5      0.022976
       2      0.018577
     2.5      0.013304

Peak # 63 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026489
     1.5      0.022928
       2       0.01901
     2.5      0.012849

Peak # 64 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.058565
     1.5       0.02292
       2      0.018489
     2.5      0.012948

Peak # 65 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026413
     1.5      0.022923
       2      0.019131
     2.5      0.012924

Peak # 66 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.058892
     1.5      0.022993
       2       0.01858
     2.5      0.013215

Peak # 67 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.02653
     1.5      0.022991
       2      0.018937
     2.5        0.0131

Peak # 68 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026642
     1.5      0.022999
       2      0.018665
     2.5       0.01302

Peak # 69 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026623
     1.5      0.023033
       2      0.018737
     2.5        0.0132

Peak # 70 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026586
     1.5      0.022972
       2      0.018857
     2.5       0.01293

Peak # 71 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.05756
     1.5      0.023014
       2      0.018616
     2.5      0.013413

Peak # 72 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026508
     1.5      0.022972
       2      0.019149
     2.5      0.012914

Peak # 73 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.058876
     1.5      0.022928
       2      0.018522
     2.5      0.013042

Peak # 74 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1      0.026436
     1.5      0.022943
       2      0.019096
     2.5      0.012978

Peak # 75 —

Strain_Width_Table = 4×2 table
    Strain     Width  
    ______    ________

       1       0.05791
     1.5      0.022988
       2      0.018567
     2.5      0.013084

% Create scatter
plot(X,Y,'DisplayName','Voltage',...
    'Marker','NONE');
% Create ylabel
ylabel('Voltage [V]');
xlabel('No. of Cycles');



% Find the Given threshold Voltage
yline(Strain, 'Color', 'r', 'LineWidth', 1);

function [Width,TW] = interpStrain(X,Y,Strain)
Strain = Strain(:);
Xend = numel(X);
for k1 = 1:numel(Strain)
%     Q = Strain(k1)
    idx = find(diff(sign(Y-Strain(k1))));
    if ~isempty(idx)
        for k2 = 1:numel(idx)
            idxrng = max(1,idx(k2)-1) : min(Xend,idx(k2)+1);
            xval(k1,k2) = interp1(Y(idxrng), X(idxrng), Strain(k1));
        end
    else
        xval(k1,:) = [0 0];
    end
    Width(k1,:) = diff(xval(k1,:));
end
TW = table(Strain,Width);
end

I created my ‘interpStrain’ function from my original code, then just called it in the loop for each set of data. The data limits are defined initially in the second findpeaks call:

[vys,vlocs] = findpeaks(-Y);

vlocs = [1 vlocs numel(Y)];

and the the index range is assigned in the loop:

idx = vlocs(k1) : vlocs(k1+1);

then the (X,Y) variables in this range are passed to my ‘interpStrain’ function that returns the ‘Width’ vector and a table of the results for each peak.

My code should be robust to all data sets that are similar to this one.

.

[Rufus Adjetey]

Thank you so much. That works so well for the initial data set.

I tried a more reasonable data set. But it gives me an error.

Could you please help.

Many thanks.

Data Set is Below

x1 = 0:0.01:0.3;
x2 = 0.3:0.01:0.6;
x3 = 0.6:0.01:0.9;
y1 = (-43.11*x1.^2) + (12.9333*x1);
y2 = (-71.1111111111111*x2.^2) + (64*x2)-12.8000000000000;
y3 = (-120*x3.^2) + (180*x3) -64.8;

X = [x1 x2 x3]';
Y = [y1 y2 y3]';
Strain = 0.5:0.5:2.5;

Error using horzcat

Dimensions of arrays being concatenated are not consistent.

Error in ass2 (line 17)

vlocs = [1 vlocs numel(Y)];

[Star Strider]

One of the value crossing values in the ‘interpStrain’ function was returning more than one value. (Although these data are not noisy, my code apparently had a difficult time with these data since one value crossing returned two index values rather than the one it should have. That could also be a problem with noisy data. If any data are noisy, it will be necessary to smooth noisy data to remove any noise that is present, since my code is not robust to noise. The sgolayfilt function is likely best for that.)

x1 = 0:0.01:0.3;
x2 = 0.3:0.01:0.6;
x3 = 0.6:0.01:0.9;
y1 = (-43.11*x1.^2) + (12.9333*x1);
y2 = (-71.1111111111111*x2.^2) + (64*x2)-12.8000000000000;
y3 = (-120*x3.^2) + (180*x3) -64.8;

X = [x1 x2 x3]';
Y = [y1 y2 y3]';
Strain = 0.5:0.5:2.5;

figure
plot(X,Y)
yline(Strain,'-r')

X = X(:).';                                         % Data Must Be Row Vectors
Y = Y(:).';                                         % Data Must Be Row Vectors

[pks,plocs] = findpeaks(Y);
[vys,vlocs] = findpeaks(-Y);
vlocs = unique([1 vlocs numel(Y)])

vlocs = 1×4

1 32 62 93

for k1 = 1:numel(vlocs)-1
    idx = vlocs(k1) : vlocs(k1+1);
    [Width(k1,:),Results{k1}] = interpStrain(X(idx), Y(idx), Strain);
    figure
    plot(X(idx), Y(idx))
    yline(Strain, 'Color', 'r', 'LineWidth', 1);
    text(X(plocs(k1))*ones(size(Strain)),Strain, compose('\\Delta t = %.5f',Width(k1,:)), 'Horiz','center', 'Vert','middle', 'FontSize',9)
    xlabel('No. of Cycles');
    ylabel('Voltage [V]');
    title(sprintf('Peak #%3d',k1))
    ylim([min(ylim) 3])
    
    fprintf('\nPeak #%3d —\n',k1)
    Strain_Width_Table = Results{k1}
end

Peak #  1 —

Strain_Width_Table = 5×2 table
    Strain    Width 
    ______    ______

     0.5      0.2086
       1           0
     1.5           0
       2           0
     2.5           0

Peak #  2 —

Strain_Width_Table = 5×2 table
    Strain     Width  
    ______    ________

     0.5       0.24855
       1       0.18355
     1.5      0.074464
       2             0
     2.5             0

Peak #  3 —

Strain_Width_Table = 5×2 table
    Strain     Width  
    ______    ________

     0.5       0.27062
       1       0.23797
     1.5           0.2
       2       0.15244
     2.5      0.081481

function [Width,TW] = interpStrain(X,Y,Strain)
Strain = Strain(:);
Xend = numel(X);
for k1 = 1:numel(Strain)
%     fprintf(repmat('-',1,20))
%     k1
%     Q = Strain(k1)
    idx1 = find(diff(sign(Y-Strain(k1))));
    idx = [min(idx1) max(idx1)];
    if ~isempty(idx)
        for k2 = 1:numel(idx)
            idxrng = max(1,idx(k2)-1) : min(Xend,idx(k2)+1);
            xval(k1,k2) = interp1(Y(idxrng), X(idxrng), Strain(k1));
        end
    else
        xval(k1,:) = [0 0];
    end
    Width(k1,:) = diff(xval(k1,:));
end
TW = table(Strain,Width);
end

That should work and be reasonably robust. I cannot guarantee that it is robust to all problems with any data.

.

[Rufus Adjetey]

Thank you so much. I truly appreciate your effort and time.

[Star Strider]

As always, my pleasure!

[Rufus Adjetey]

Hi Star Strider,

I want to covert the cell data into a table of arrays. I tried to concatenate the cell but it would not permit me giving an error "Duplicate table variable name: 'Width'."

Results = 1x12 cell which contains 10 x 2 table in each cell

Question: Since all the second column of each table is named Width Is it possible to give it a variable name say 1 to 12?

A1 = cellfun(@(x) x(:,2),Results,'un',0); 
Cvert = cat(2,A1{:});

[Star Strider]

Changing the ‘TW’ assignment that write the tables to:

TW = table(Width, 'RowNames',compose('%.1f',Strain), 'VariableNames',{sprintf('Width_Peak_%03d',k)});

allows:

Cvert = cat(2,Results{:});

to horizontally concatenate the tables.

Try this —

X = [0.0318400000000000,0.0368000000000000,0.0417600000000000,0.0467200000000000,0.0516800000000000,0.0566400000000000,0.0616000000000000,0.101280000000000,0.106240000000000,0.111200000000000,0.116160000000000,0.121120000000000,0.126080000000000,0.165760000000000,0.170720000000000,0.175680000000000,0.180640000000000,0.185600000000000,0.190560000000000,0.195520000000000,0.230240000000000,0.235200000000000,0.240160000000000,0.245120000000000,0.250080000000000,0.255040000000000,0.260000000000000,0.264960000000000,0.299680000000000,0.304640000000000,0.309600000000000,0.314560000000000,0.319520000000000,0.324480000000000,0.329440000000000,0.364160000000000,0.369120000000000,0.374080000000000,0.379040000000000,0.384000000000000,0.388960000000000,0.393920000000000,0.433600000000000,0.438560000000000,0.443520000000000,0.448480000000000,0.453440000000000,0.458400000000000,0.498080000000000,0.503040000000000,0.508000000000000,0.512960000000000,0.517920000000000,0.522880000000000,0.527840000000000,0.567520000000000,0.572480000000000,0.577440000000000,0.582400000000000,0.587360000000000,0.592320000000000,0.632000000000000,0.636960000000000,0.641920000000000,0.646880000000000,0.651840000000000,0.656800000000000,0.661760000000000,0.696480000000000,0.701440000000000,0.706400000000000,0.711360000000000,0.716320000000000,0.721280000000000,0.726240000000000,0.765920000000000,0.770880000000000,0.775840000000000,0.780800000000000,0.785760000000000,0.790720000000000,0.830400000000000,0.835360000000000,0.840320000000000,0.845280000000000,0.850240000000000,0.855200000000000,0.860160000000000,0.899840000000000,0.904800000000000,0.909760000000000,0.914720000000000,0.919680000000000,0.924640000000000,0.964320000000000,0.969280000000000,0.974240000000000,0.979200000000000,0.984160000000000,0.989120000000000,0.994080000000000,1.03376000000000,1.03872000000000,1.04368000000000,1.04864000000000,1.05360000000000,1.05856000000000,1.09824000000000,1.10320000000000,1.10816000000000,1.11312000000000,1.11808000000000,1.12304000000000,1.12800000000000,1.16272000000000,1.16768000000000,1.17264000000000,1.17760000000000,1.18256000000000,1.18752000000000,1.19248000000000,1.23216000000000,1.23712000000000,1.24208000000000,1.24704000000000,1.25200000000000,1.25696000000000,1.26192000000000,1.29664000000000,1.30160000000000,1.30656000000000,1.31152000000000,1.31648000000000,1.32144000000000,1.32640000000000,1.36608000000000,1.37104000000000,1.37600000000000,1.38096000000000,1.38592000000000,1.39088000000000,1.43056000000000,1.43552000000000,1.44048000000000,1.44544000000000,1.45040000000000,1.45536000000000,1.46032000000000,1.50000000000000,1.50496000000000,1.50992000000000,1.51488000000000,1.51984000000000,1.52480000000000,1.56448000000000,1.56944000000000,1.57440000000000,1.57936000000000,1.58432000000000,1.58928000000000,1.59424000000000,1.63392000000000,1.63888000000000,1.64384000000000,1.64880000000000,1.65376000000000,1.65872000000000,1.69840000000000,1.70336000000000,1.70832000000000,1.71328000000000,1.71824000000000,1.72320000000000,1.72816000000000,1.76288000000000,1.76784000000000,1.77280000000000,1.77776000000000,1.78272000000000,1.78768000000000,1.79264000000000,1.83232000000000,1.83728000000000,1.84224000000000,1.84720000000000,1.85216000000000,1.85712000000000,1.86208000000000,1.89680000000000,1.90176000000000,1.90672000000000,1.91168000000000,1.91664000000000,1.92160000000000,1.92656000000000,1.96624000000000,1.97120000000000,1.97616000000000,1.98112000000000,1.98608000000000,1.99104000000000,2.03072000000000,2.03568000000000,2.04064000000000,2.04560000000000,2.05056000000000,2.05552000000000,2.06048000000000,2.10016000000000,2.10512000000000,2.11008000000000,2.11504000000000,2.12000000000000,2.12496000000000,2.16464000000000,2.16960000000000,2.17456000000000,2.17952000000000,2.18448000000000,2.18944000000000,2.19440000000000,2.22912000000000,2.23408000000000,2.23904000000000,2.24400000000000,2.24896000000000,2.25392000000000,2.25888000000000,2.29856000000000,2.30352000000000,2.30848000000000,2.31344000000000,2.31840000000000,2.32336000000000,2.32832000000000,2.36304000000000,2.36800000000000,2.37296000000000,2.37792000000000,2.38288000000000,2.38784000000000,2.39280000000000,2.43248000000000,2.43744000000000,2.44240000000000,2.44736000000000,2.45232000000000,2.45728000000000,2.49696000000000,2.50192000000000,2.50688000000000,2.51184000000000,2.51680000000000,2.52176000000000,2.52672000000000,2.56640000000000,2.57136000000000,2.57632000000000,2.58128000000000,2.58624000000000,2.59120000000000,2.63088000000000,2.63584000000000,2.64080000000000,2.64576000000000,2.65072000000000,2.65568000000000,2.66064000000000,2.70032000000000,2.70528000000000,2.71024000000000,2.71520000000000,2.72016000000000,2.72512000000000,2.76480000000000,2.76976000000000,2.77472000000000,2.77968000000000,2.78464000000000,2.78960000000000,2.79456000000000,2.82928000000000,2.83424000000000,2.83920000000000,2.84416000000000,2.84912000000000,2.85408000000000,2.8590400000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Y = [0.0237235890000000,0.0991239370000000,0.141935999000000,0.138421576000000,0.118613010000000,0.0837882730000000,0.0304329420000000,0.132351209000000,0.284429877000000,0.311906275000000,0.291458723000000,0.244812745000000,0.153757240000000,0.0623822420000000,0.429160206000000,0.599130482000000,0.599449975000000,0.558554871000000,0.467499366000000,0.170051383000000,0.0301134490000000,0.613827160000000,0.979327152000000,1.08060643300000,1.03204349700000,0.928847258000000,0.566542196000000,0.0186117010000000,0.479320607000000,1.02501465100000,1.26878781000000,1.24386735600000,1.15089489300000,0.785394901000000,0.130434251000000,0.102318867000000,0.879964829000000,1.36207976600000,1.44642591800000,1.37134506300000,1.10360992900000,0.463345957000000,0.728844640000000,1.42821481700000,1.69467197900000,1.64355309900000,1.46208107500000,0.874213955000000,0.389543074000000,1.36559418900000,1.85250152100000,1.88413132800000,1.77582320100000,1.30201508200000,0.368456536000000,1.09785905500000,1.85761340900000,2.08668989000000,2.00010728700000,1.68444820300000,0.862392714000000,0.694019903000000,1.71863395400000,2.20873621600000,2.20745824400000,2.02854216400000,1.35888483600000,0.186345526000000,0.205834599000000,1.40872574400000,2.18125981800000,2.38669381700000,2.27519076000000,1.79914619000000,0.760793940000000,0.953128726000000,2.00330221700000,2.48765360500000,2.44420255700000,2.17039705600000,1.31319733700000,0.399127864000000,1.67102949700000,2.42183804700000,2.56369293900000,2.43653472500000,1.81735729100000,0.598810989000000,1.17805179800000,2.20713875100000,2.64644162600000,2.57391671500000,2.20330483500000,1.19498492700000,0.550567546000000,1.86240580400000,2.57934809600000,2.66081881100000,2.48509766100000,1.74770781700000,0.419894909000000,1.35505092000000,2.34995212200000,2.71928603000000,2.62567458100000,2.15953429400000,1.05153257000000,0.776449097000000,2.02822267100000,2.66784765700000,2.69724101300000,2.46337213700000,1.62885642100000,0.239061871000000,0.146728394000000,1.53013308400000,2.45762126300000,2.75059634400000,2.63973227300000,2.08860684800000,0.892105563000000,0.956323656000000,2.15953429400000,2.72855132700000,2.71800805800000,2.42726942800000,1.49914226300000,0.0655771720000000,0.342577603000000,1.70010336000000,2.56560989700000,2.77104389600000,2.64356618900000,2.00234373800000,0.731081091000000,1.12916936900000,2.27135684400000,2.78190665800000,2.72631487600000,2.36496829300000,1.35441193400000,0.483793509000000,1.85761340900000,2.64292720300000,2.77391933300000,2.61193638200000,1.88477031400000,0.546733630000000,1.29434725000000,2.35602248900000,2.79564485700000,2.71800805800000,2.27710771800000,1.18635861600000,0.640984065000000,1.98125720000000,2.70363087300000,2.77455831900000,2.56209547400000,1.74738832400000,0.361747183000000,1.44674541100000,2.44707799400000,2.81705088800000,2.71641059300000,2.19180308700000,1.02309769300000,0.848974008000000,2.11736121800000,2.75379127400000,2.77232186800000,2.50490622700000,1.61511822200000,0.186026033000000,0.211265980000000,1.61671568700000,2.53589704800000,2.81737038100000,2.70075543600000,2.09627468000000,0.856002854000000,1.03172400400000,2.23493464200000,2.79915928000000,2.77615578400000,2.45314836100000,1.47422180900000,0.0157362640000000,0.390501553000000,1.77294776400000,2.63334241300000,2.81928733900000,2.67423751700000,1.98924452500000,0.687949536000000,1.21319602800000,2.34739617800000,2.83653996100000,2.77232186800000,2.37742852000000,1.31447530900000,0.528842022000000,1.94195956100000,2.72887082000000,2.84548576500000,2.66337475500000,1.87742197500000,0.505838526000000,1.36207976600000,2.45346785400000,2.88222746000000,2.79628384300000,2.30522310200000,1.15217286500000,0.724691231000000,2.08093901600000,2.80810508400000,2.86337737300000,2.62503559500000,1.74962477500000,0.324366502000000,0.0617432560000000,1.53907888800000,2.54164792200000,2.90299450500000,2.79883978700000,2.22215492200000,0.984758533000000,0.917345510000000,2.21065317400000,2.85379258300000,2.86114092200000,2.56784634800000,1.60776988300000,0.142255492000000,0.278040017000000,1.69339400700000,2.62631356700000,2.88286644600000,2.76593200800000,2.11001287900000,0.808078904000000,1.07996744700000,2.29340186100000,2.86816976800000,2.83685945400000,2.47902729400000,1.44035555100000,0.420853388000000,1.84036078700000,2.70650631000000,2.87967151600000,2.73046828500000,1.98828604600000,0.633955219000000,1.26399541500000,2.38733280300000,2.88733934800000,2.81737038100000,2.38893026800000,1.27805310700000,0.568459154000000,1.99467590600000,2.76976592400000,2.87104520500000,2.67583498200000,1.85537695800000,0.451205223000000,1.42054698500000,2.47870780100000,2.89820211000000,2.80778559100000,2.28605352200000,1.11095826800000,0.792104254000000,2.13046043100000,2.82631618500000,2.86657230300000,2.61896522800000,1.71416105200000,0.277081538000000,0.125322363000000,1.59179523300000,2.57807012400000,2.91321828100000,2.80554914000000,2.20106838400000,0.942904950000000,0.96622793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Strain = 1:0.5:2.5;

[pks,plocs] = findpeaks(Y);
[vys,vlocs] = findpeaks(-Y);
vlocs = [1 vlocs numel(Y)];

for k1 = 1:numel(vlocs)-1
    idx = vlocs(k1) : vlocs(k1+1);
    [Width(k1,:),Results{k1}] = interpStrain(X(idx), Y(idx), Strain, k1);
    figure
    plot(X(idx), Y(idx))
    yline(Strain, 'Color', 'r', 'LineWidth', 1);
    text(X(plocs(k1))*ones(size(Strain)),Strain, compose('\\Delta t = %.5f',Width(k1,:)), 'Horiz','center', 'Vert','middle', 'FontSize',9)
    xlabel('No. of Cycles');
    ylabel('Voltage [V]');
    title(sprintf('Peak #%3d',k1))
    
    fprintf('\nPeak #%3d —\n',k1)
    Strain_Width_Table = Results{k1}
end

Peak #  1 —

Strain_Width_Table = 4×1 table
           Width_Peak_001
           ______________

    1.0          0       
    1.5          0       
    2.0          0       
    2.5          0       

Peak #  2 —

Strain_Width_Table = 4×1 table
           Width_Peak_002
           ______________

    1.0          0       
    1.5          0       
    2.0          0       
    2.5          0       

Peak #  3 —

Strain_Width_Table = 4×1 table
           Width_Peak_003
           ______________

    1.0          0       
    1.5          0       
    2.0          0       
    2.5          0       

Peak #  4 —

Strain_Width_Table = 4×1 table
           Width_Peak_004
           ______________

    1.0       0.010448   
    1.5              0   
    2.0              0   
    2.5              0   

Peak #  5 —

Strain_Width_Table = 4×1 table
           Width_Peak_005
           ______________

    1.0       0.017155   
    1.5              0   
    2.0              0   
    2.5              0   

Peak #  6 —

Strain_Width_Table = 4×1 table
           Width_Peak_006
           ______________

    1.0       0.019408   
    1.5              0   
    2.0              0   
    2.5              0   

Peak #  7 —

Strain_Width_Table = 4×1 table
           Width_Peak_007
           ______________

    1.0       0.021816   
    1.5       0.012507   
    2.0              0   
    2.5              0   

Peak #  8 —

Strain_Width_Table = 4×1 table
           Width_Peak_008
           ______________

    1.0       0.023302   
    1.5       0.016398   
    2.0              0   
    2.5              0   

Peak #  9 —

Strain_Width_Table = 4×1 table
           Width_Peak_009
           ______________

    1.0       0.029293   
    1.5       0.018328   
    2.0      0.0068387   
    2.5              0   

Peak # 10 —

Strain_Width_Table = 4×1 table
           Width_Peak_010
           ______________

    1.0       0.024837   
    1.5       0.019853   
    2.0       0.012244   
    2.5              0   

Peak # 11 —

Strain_Width_Table = 4×1 table
           Width_Peak_011
           ______________

    1.0       0.025343   
    1.5       0.020683   
    2.0       0.013951   
    2.5              0   

Peak # 12 —

Strain_Width_Table = 4×1 table
           Width_Peak_012
           ______________

    1.0       0.038175   
    1.5       0.021136   
    2.0       0.015882   
    2.5              0   

Peak # 13 —

Strain_Width_Table = 4×1 table
           Width_Peak_013
           ______________

    1.0       0.025784   
    1.5       0.021799   
    2.0       0.016204   
    2.5      0.0047115   

Peak # 14 —

Strain_Width_Table = 4×1 table
           Width_Peak_014
           ______________

    1.0       0.049003   
    1.5       0.021748   
    2.0       0.016878   
    2.5      0.0076027   

Peak # 15 —

Strain_Width_Table = 4×1 table
           Width_Peak_015
           ______________

    1.0       0.025894   
    1.5       0.022136   
    2.0       0.017191   
    2.5      0.0089005   

Peak # 16 —

Strain_Width_Table = 4×1 table
           Width_Peak_016
           ______________

    1.0       0.047299   
    1.5        0.02207   
    2.0       0.017339   
    2.5      0.0092422   

Peak # 17 —

Strain_Width_Table = 4×1 table
           Width_Peak_017
           ______________

    1.0       0.026159   
    1.5       0.022393   
    2.0       0.017746   
    2.5      0.0094446   

Peak # 18 —

Strain_Width_Table = 4×1 table
           Width_Peak_018
           ______________

    1.0       0.026253   
    1.5       0.022388   
    2.0       0.017695   
    2.5        0.01046   

Peak # 19 —

Strain_Width_Table = 4×1 table
           Width_Peak_019
           ______________

    1.0       0.026347   
    1.5       0.022554   
    2.0       0.017821   
    2.5       0.010671   

Peak # 20 —

Strain_Width_Table = 4×1 table
           Width_Peak_020
           ______________

    1.0       0.026309   
    1.5       0.022531   
    2.0       0.018131   
    2.5       0.011407   

Peak # 21 —

Strain_Width_Table = 4×1 table
           Width_Peak_021
           ______________

    1.0       0.053828   
    1.5       0.022475   
    2.0        0.01785   
    2.5       0.010805   

Peak # 22 —

Strain_Width_Table = 4×1 table
           Width_Peak_022
           ______________

    1.0       0.026216   
    1.5       0.022557   
    2.0       0.018155   
    2.5       0.011586   

Peak # 23 —

Strain_Width_Table = 4×1 table
           Width_Peak_023
           ______________

    1.0       0.053982   
    1.5       0.022413   
    2.0       0.017803   
    2.5       0.010748   

Peak # 24 —

Strain_Width_Table = 4×1 table
           Width_Peak_024
           ______________

    1.0       0.026147   
    1.5       0.022507   
    2.0       0.018173   
    2.5       0.011696   

Peak # 25 —

Strain_Width_Table = 4×1 table
           Width_Peak_025
           ______________

    1.0       0.046402   
    1.5       0.022512   
    2.0       0.017911   
    2.5       0.011257   

Peak # 26 —

Strain_Width_Table = 4×1 table
           Width_Peak_026
           ______________

    1.0       0.026344   
    1.5       0.022654   
    2.0       0.018153   
    2.5       0.011925   

Peak # 27 —

Strain_Width_Table = 4×1 table
           Width_Peak_027
           ______________

    1.0       0.026401   
    1.5       0.022636   
    2.0       0.018157   
    2.5       0.011761   

Peak # 28 —

Strain_Width_Table = 4×1 table
           Width_Peak_028
           ______________

    1.0       0.033576   
    1.5       0.022739   
    2.0       0.018144   
    2.5        0.01183   

Peak # 29 —

Strain_Width_Table = 4×1 table
           Width_Peak_029
           ______________

    1.0       0.026384   
    1.5       0.022684   
    2.0       0.018453   
    2.5        0.01195   

Peak # 30 —

Strain_Width_Table = 4×1 table
           Width_Peak_030
           ______________

    1.0       0.056789   
    1.5        0.02268   
    2.0        0.01816   
    2.5       0.011793   

Peak # 31 —

Strain_Width_Table = 4×1 table
           Width_Peak_031
           ______________

    1.0       0.026319   
    1.5       0.022756   
    2.0       0.018701   
    2.5       0.012394   

Peak # 32 —

Strain_Width_Table = 4×1 table
           Width_Peak_032
           ______________

    1.0       0.055705   
    1.5       0.022677   
    2.0       0.018254   
    2.5       0.012374   

Peak # 33 —

Strain_Width_Table = 4×1 table
           Width_Peak_033
           ______________

    1.0       0.026402   
    1.5       0.022833   
    2.0       0.018717   
    2.5        0.01273   

Peak # 34 —

Strain_Width_Table = 4×1 table
           Width_Peak_034
           ______________

    1.0       0.026549   
    1.5       0.022866   
    2.0        0.01845   
    2.5       0.012696   

Peak # 35 —

Strain_Width_Table = 4×1 table
           Width_Peak_035
           ______________

    1.0        0.02654   
    1.5        0.02293   
    2.0       0.018622   
    2.5       0.012999   

Peak # 36 —

Strain_Width_Table = 4×1 table
           Width_Peak_036
           ______________

    1.0       0.026499   
    1.5       0.022842   
    2.0       0.018629   
    2.5       0.012603   

Peak # 37 —

Strain_Width_Table = 4×1 table
           Width_Peak_037
           ______________

    1.0        0.05361   
    1.5       0.022798   
    2.0       0.018367   
    2.5       0.012806   

Peak # 38 —

Strain_Width_Table = 4×1 table
           Width_Peak_038
           ______________

    1.0       0.026396   
    1.5       0.022818   
    2.0       0.018848   
    2.5       0.012643   

Peak # 39 —

Strain_Width_Table = 4×1 table
           Width_Peak_039
           ______________

    1.0       0.056975   
    1.5       0.022767   
    2.0       0.018327   
    2.5       0.012477   

Peak # 40 —

Strain_Width_Table = 4×1 table
           Width_Peak_040
           ______________

    1.0       0.026321   
    1.5       0.022816   
    2.0       0.018932   
    2.5       0.012709   

Peak # 41 —

Strain_Width_Table = 4×1 table
           Width_Peak_041
           ______________

    1.0       0.055823   
    1.5       0.022785   
    2.0       0.018331   
    2.5       0.012594   

Peak # 42 —

Strain_Width_Table = 4×1 table
           Width_Peak_042
           ______________

    1.0       0.026494   
    1.5       0.022916   
    2.0       0.018757   
    2.5       0.012898   

Peak # 43 —

Strain_Width_Table = 4×1 table
           Width_Peak_043
           ______________

    1.0       0.026577   
    1.5       0.022914   
    2.0        0.01858   
    2.5        0.01282   

Peak # 44 —

Strain_Width_Table = 4×1 table
           Width_Peak_044
           ______________

    1.0       0.026559   
    1.5       0.022944   
    2.0       0.018592   
    2.5       0.013076   

Peak # 45 —

Strain_Width_Table = 4×1 table
           Width_Peak_045
           ______________

    1.0       0.026546   
    1.5       0.022917   
    2.0       0.018804   
    2.5       0.012788   

Peak # 46 —

Strain_Width_Table = 4×1 table
           Width_Peak_046
           ______________

    1.0       0.057305   
    1.5       0.022852   
    2.0       0.018452   
    2.5       0.013005   

Peak # 47 —

Strain_Width_Table = 4×1 table
           Width_Peak_047
           ______________

    1.0        0.02642   
    1.5       0.022845   
    2.0       0.018877   
    2.5       0.012769   

Peak # 48 —

Strain_Width_Table = 4×1 table
           Width_Peak_048
           ______________

    1.0       0.057701   
    1.5       0.022832   
    2.0        0.01844   
    2.5       0.012849   

Peak # 49 —

Strain_Width_Table = 4×1 table
           Width_Peak_049
           ______________

    1.0       0.026367   
    1.5       0.022849   
    2.0       0.018906   
    2.5       0.012835   

Peak # 50 —

Strain_Width_Table = 4×1 table
           Width_Peak_050
           ______________

    1.0       0.054962   
    1.5       0.022898   
    2.0       0.018459   
    2.5       0.012892   

Peak # 51 —

Strain_Width_Table = 4×1 table
           Width_Peak_051
           ______________

    1.0       0.026516   
    1.5       0.022929   
    2.0       0.018714   
    2.5       0.013007   

Peak # 52 —

Strain_Width_Table = 4×1 table
           Width_Peak_052
           ______________

    1.0       0.026601   
    1.5       0.022949   
    2.0       0.018675   
    2.5        0.01286   

Peak # 53 —

Strain_Width_Table = 4×1 table
           Width_Peak_053
           ______________

    1.0       0.034134   
    1.5       0.023019   
    2.0       0.018631   
    2.5       0.013268   

Peak # 54 —

Strain_Width_Table = 4×1 table
           Width_Peak_054
           ______________

    1.0       0.026487   
    1.5         0.0229   
    2.0       0.018883   
    2.5       0.012773   

Peak # 55 —

Strain_Width_Table = 4×1 table
           Width_Peak_055
           ______________

    1.0       0.057889   
    1.5       0.022882   
    2.0       0.018475   
    2.5       0.012993   

Peak # 56 —

Strain_Width_Table = 4×1 table
           Width_Peak_056
           ______________

    1.0       0.026425   
    1.5       0.022902   
    2.0       0.019033   
    2.5        0.01286   

Peak # 57 —

Strain_Width_Table = 4×1 table
           Width_Peak_057
           ______________

    1.0       0.057711   
    1.5       0.022848   
    2.0       0.018466   
    2.5       0.012942   

Peak # 58 —

Strain_Width_Table = 4×1 table
           Width_Peak_058
           ______________

    1.0        0.02644   
    1.5       0.022905   
    2.0       0.018898   
    2.5       0.012934   

Peak # 59 —

Strain_Width_Table = 4×1 table
           Width_Peak_059
           ______________

    1.0       0.034779   
    1.5       0.022963   
    2.0       0.018551   
    2.5       0.012931   

Peak # 60 —

Strain_Width_Table = 4×1 table
           Width_Peak_060
           ______________

    1.0        0.02656   
    1.5       0.022979   
    2.0       0.018726   
    2.5       0.013088   

Peak # 61 —

Strain_Width_Table = 4×1 table
           Width_Peak_061
           ______________

    1.0       0.026517   
    1.5       0.022883   
    2.0       0.018678   
    2.5       0.012788   

Peak # 62 —

Strain_Width_Table = 4×1 table
           Width_Peak_062
           ______________

    1.0       0.053774   
    1.5       0.022976   
    2.0       0.018577   
    2.5       0.013304   

Peak # 63 —

Strain_Width_Table = 4×1 table
           Width_Peak_063
           ______________

    1.0       0.026489   
    1.5       0.022928   
    2.0        0.01901   
    2.5       0.012849   

Peak # 64 —

Strain_Width_Table = 4×1 table
           Width_Peak_064
           ______________

    1.0       0.058565   
    1.5        0.02292   
    2.0       0.018489   
    2.5       0.012948   

Peak # 65 —

Strain_Width_Table = 4×1 table
           Width_Peak_065
           ______________

    1.0       0.026413   
    1.5       0.022923   
    2.0       0.019131   
    2.5       0.012924   

Peak # 66 —

Strain_Width_Table = 4×1 table
           Width_Peak_066
           ______________

    1.0       0.058892   
    1.5       0.022993   
    2.0        0.01858   
    2.5       0.013215   

Peak # 67 —

Strain_Width_Table = 4×1 table
           Width_Peak_067
           ______________

    1.0        0.02653   
    1.5       0.022991   
    2.0       0.018937   
    2.5         0.0131   

Peak # 68 —

Strain_Width_Table = 4×1 table
           Width_Peak_068
           ______________

    1.0       0.026642   
    1.5       0.022999   
    2.0       0.018665   
    2.5        0.01302   

Peak # 69 —

Strain_Width_Table = 4×1 table
           Width_Peak_069
           ______________

    1.0       0.026623   
    1.5       0.023033   
    2.0       0.018737   
    2.5         0.0132   

Peak # 70 —

Strain_Width_Table = 4×1 table
           Width_Peak_070
           ______________

    1.0       0.026586   
    1.5       0.022972   
    2.0       0.018857   
    2.5        0.01293   

Peak # 71 —

Strain_Width_Table = 4×1 table
           Width_Peak_071
           ______________

    1.0        0.05756   
    1.5       0.023014   
    2.0       0.018616   
    2.5       0.013413   

Peak # 72 —

Strain_Width_Table = 4×1 table
           Width_Peak_072
           ______________

    1.0       0.026508   
    1.5       0.022972   
    2.0       0.019149   
    2.5       0.012914   

Peak # 73 —

Strain_Width_Table = 4×1 table
           Width_Peak_073
           ______________

    1.0       0.058876   
    1.5       0.022928   
    2.0       0.018522   
    2.5       0.013042   

Peak # 74 —

Strain_Width_Table = 4×1 table
           Width_Peak_074
           ______________

    1.0       0.026436   
    1.5       0.022943   
    2.0       0.019096   
    2.5       0.012978   

Peak # 75 —

Strain_Width_Table = 4×1 table
           Width_Peak_075
           ______________

    1.0        0.05791   
    1.5       0.022988   
    2.0       0.018567   
    2.5       0.013084   

Cvert = cat(2,Results{:})

Cvert = 4×75 table
           Width_Peak_001    Width_Peak_002    Width_Peak_003    Width_Peak_004    Width_Peak_005    Width_Peak_006    Width_Peak_007    Width_Peak_008    Width_Peak_009    Width_Peak_010    Width_Peak_011    Width_Peak_012    Width_Peak_013    Width_Peak_014    Width_Peak_015    Width_Peak_016    Width_Peak_017    Width_Peak_018    Width_Peak_019    Width_Peak_020    Width_Peak_021    Width_Peak_022    Width_Peak_023    Width_Peak_024    Width_Peak_025    Width_Peak_026    Width_Peak_027    Width_Peak_028    Width_Peak_029    Width_Peak_030    Width_Peak_031    Width_Peak_032    Width_Peak_033    Width_Peak_034    Width_Peak_035    Width_Peak_036    Width_Peak_037    Width_Peak_038    Width_Peak_039    Width_Peak_040    Width_Peak_041    Width_Peak_042    Width_Peak_043    Width_Peak_044    Width_Peak_045    Width_Peak_046    Width_Peak_047    Width_Peak_048    Width_Peak_049    Width_Peak_050    Width_Peak_051    Width_Peak_052    Width_Peak_053    Width_Peak_054    Width_Peak_055    Width_Peak_056    Width_Peak_057    Width_Peak_058    Width_Peak_059    Width_Peak_060    Width_Peak_061    Width_Peak_062    Width_Peak_063    Width_Peak_064    Width_Peak_065    Width_Peak_066    Width_Peak_067    Width_Peak_068    Width_Peak_069    Width_Peak_070    Width_Peak_071    Width_Peak_072    Width_Peak_073    Width_Peak_074    Width_Peak_075
           ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________    ______________

    1.0          0                 0                 0              0.010448          0.017155          0.019408          0.021816          0.023302          0.029293          0.024837          0.025343          0.038175          0.025784          0.049003          0.025894          0.047299          0.026159          0.026253          0.026347          0.026309          0.053828          0.026216          0.053982          0.026147          0.046402          0.026344          0.026401          0.033576          0.026384          0.056789          0.026319          0.055705          0.026402          0.026549           0.02654          0.026499           0.05361          0.026396          0.056975          0.026321          0.055823          0.026494          0.026577          0.026559          0.026546          0.057305           0.02642          0.057701          0.026367          0.054962          0.026516          0.026601          0.034134          0.026487          0.057889          0.026425          0.057711           0.02644          0.034779           0.02656          0.026517          0.053774          0.026489          0.058565          0.026413          0.058892           0.02653          0.026642          0.026623          0.026586           0.05756          0.026508          0.058876          0.026436           0.05791   
    1.5          0                 0                 0                     0                 0                 0          0.012507          0.016398          0.018328          0.019853          0.020683          0.021136          0.021799          0.021748          0.022136           0.02207          0.022393          0.022388          0.022554          0.022531          0.022475          0.022557          0.022413          0.022507          0.022512          0.022654          0.022636          0.022739          0.022684           0.02268          0.022756          0.022677          0.022833          0.022866           0.02293          0.022842          0.022798          0.022818          0.022767          0.022816          0.022785          0.022916          0.022914          0.022944          0.022917          0.022852          0.022845          0.022832          0.022849          0.022898          0.022929          0.022949          0.023019            0.0229          0.022882          0.022902          0.022848          0.022905          0.022963          0.022979          0.022883          0.022976          0.022928           0.02292          0.022923          0.022993          0.022991          0.022999          0.023033          0.022972          0.023014          0.022972          0.022928          0.022943          0.022988   
    2.0          0                 0                 0                     0                 0                 0                 0                 0         0.0068387          0.012244          0.013951          0.015882          0.016204          0.016878          0.017191          0.017339          0.017746          0.017695          0.017821          0.018131           0.01785          0.018155          0.017803          0.018173          0.017911          0.018153          0.018157          0.018144          0.018453           0.01816          0.018701          0.018254          0.018717           0.01845          0.018622          0.018629          0.018367          0.018848          0.018327          0.018932          0.018331          0.018757           0.01858          0.018592          0.018804          0.018452          0.018877           0.01844          0.018906          0.018459          0.018714          0.018675          0.018631          0.018883          0.018475          0.019033          0.018466          0.018898          0.018551          0.018726          0.018678          0.018577           0.01901          0.018489          0.019131           0.01858          0.018937          0.018665          0.018737          0.018857          0.018616          0.019149          0.018522          0.019096          0.018567   
    2.5          0                 0                 0                     0                 0                 0                 0                 0                 0                 0                 0                 0         0.0047115         0.0076027         0.0089005         0.0092422         0.0094446           0.01046          0.010671          0.011407          0.010805          0.011586          0.010748          0.011696          0.011257          0.011925          0.011761           0.01183           0.01195          0.011793          0.012394          0.012374           0.01273          0.012696          0.012999          0.012603          0.012806          0.012643          0.012477          0.012709          0.012594          0.012898           0.01282          0.013076          0.012788          0.013005          0.012769          0.012849          0.012835          0.012892          0.013007           0.01286          0.013268          0.012773          0.012993           0.01286          0.012942          0.012934          0.012931          0.013088          0.012788          0.013304          0.012849          0.012948          0.012924          0.013215            0.0131           0.01302            0.0132           0.01293          0.013413          0.012914          0.013042          0.012978          0.013084   

% % Create scatter
% plot(X,Y,'DisplayName','Voltage',...
%     'Marker','NONE');
% % Create ylabel
% ylabel('Voltage [V]');
% xlabel('No. of Cycles');
% 
% 
% 
% % Find the Given threshold Voltage
% yline(Strain, 'Color', 'r', 'LineWidth', 1);

function [Width,TW] = interpStrain(X,Y,Strain,k)
Strain = Strain(:);
Xend = numel(X);
for k1 = 1:numel(Strain)
%     Q = Strain(k1)
    idx = find(diff(sign(Y-Strain(k1))));
    if ~isempty(idx)
        for k2 = 1:numel(idx)
            idxrng = max(1,idx(k2)-1) : min(Xend,idx(k2)+1);
            xval(k1,k2) = interp1(Y(idxrng), X(idxrng), Strain(k1));
        end
    else
        xval(k1,:) = [0 0];
    end
    Width(k1,:) = diff(xval(k1,:));
end
TW = table(Width, 'RowNames',compose('%.1f',Strain), 'VariableNames',{sprintf('Width_Peak_%03d',k)});
end

.

[Rufus Adjetey]

Thank you Star

[Star Strider]

As always, my pleasure!