MATLAB: How to obtain an absorption spectrum from a derivative spectrum

digital signal processingimage processingintegrationMATLABsignal processing

I have a derivative spectrum represented with 128 points and need to integrate the spectrum to get absorption spectrum with 128 points. How to do this?

Best Answer

See if the trapz or cumtrapz functions will do what you want.

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MATLAB: Amplitude spectrum

There are a couple things you can do. Let x be your speech signal and fs your sampling frequency. The following two are power estimates.

    plot(psd(spectrum.periodogram,x,'Fs',fs));
If you do not want it in dB:
    psdest = psd(spectrum.periodogram,x,'Fs',fs);
    plot(psdest.Frequencies,psdest.Data);
    xlabel('Hz'); grid on;

Finally, just using fft()

      xdft = fft(x);
      % assume x is even length
      xdft = xdft(1:length(x)/2+1);
      freq = 0:fs/length(x):fs/2;
      plot(freq,abs(xdft));
      xlabel('Hz');

MATLAB: Reimann sum and numerical integration

I would likely use either trapz or cumtrapz to calculate ‘F’, but otherwise I see no problems.

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MATLAB: Amplitude spectrum

MATLAB: Reimann sum and numerical integration

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