# How to calculate the Frequency Centroid and Mean square frequency for the attached dataset in MATLAB?

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PRAMOD A on 27 Jan 2022
Answered: Rishabh Singh on 8 Feb 2022
Hi all,
Please explain to me how to calculate the Frequency centroid and Mean square frequency for the attached dataset in MATLAB
My dataset is long having more than 50,000 rows and two columns(time domain and Fx values)
The data set is attached to this question.
In the dataset first column indicates the time in seconds and the second column indicates force in newton.
So, basically, it's a time-domain signal and needs to convert to frequency domain for the calculation of Frequency centroid and Mean square frequency.

Rishabh Singh on 8 Feb 2022
Hi,
You can refer to following answer, explaining how to perform "FFT" on discrete data.
t = table2array(data(:,1)); % Time Vector
s = table2array(data(:,2)); % Signal Vector
Ts = mean(diff(t)); % Sampling Interval
Fs = 1/Ts; % Sampling Frequency
Fn = Fs/2; % Nyquist Frequency
L = numel(t); % Signal Length (Number Of Samples)
FTs = fft(s - mean(s))/L; % Fourier Transform
Fv = linspace(0, 1, fix(L/2)+1)*Fn; % Frequency Vector
Iv = 1:numel(Fv); % Index Vector
figure
plot(Fv, abs(FTs(Iv))*2)
grid
xlabel('Frequency')
ylabel('Amplitude')
Please refer to the documentation of "spectralCentroid" for frequency centroid calculation.
centroid = spectralCentroid(abs(FTs(Iv))*2 , Fv,'SpectrunType' , 'magnitude');
Hope this helps.

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