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Getting coefficient from a chebfun (chebcoeffs2-chebpoly)

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Paul Rogers
Paul Rogers on 11 May 2020
Edited: Paul Rogers on 11 May 2020
I worte the following code to get an apprroximation of a compressor map:
clear
clc
close all
FlowMeasurements = chebpts(5,[-0.2,0.8]); % x needed by Chebishev
SpeedMeasurements = chebpts(5,[25000, 55000]); %speeds needed by Chebyshev
CompressorMapMatrix =[
1.5805 1.2092 1.1402 1.0234 1.0095
1.6553 1.2840 1.2564 1.0565 1.0287
1.9070 1.5357 1.7124 1.2518 1.1505
2.2873 1.9160 2.4317 1.7374 1.4732
2.4935 2.1222 2.8189 2.0728 1.7064]; % thats the datas points Chebishev needs
FlowVector = -0.2:0.01:0.8;
approximationResult = chebfun2(CompressorMapMatrix,[ -0.2 0.8 25000 55000]);
%% Plot chebfun not scaled
for i=1:length(SpeedMeasurements)
figure(2)
plot(approximationResult(FlowVector, SpeedMeasurements(i)));
hold on
grid on
end
Now I need the coefficient a_ij because I need to use this equation:
and also the T_i/j polinomium:
I know I might have to use
chebcoeffs2
and
chebpoly
but really no clue on how. I wonder if someone can help me out for this thing.

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