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I want to measure algorithmically the following parameters in a given FFT data (real numbers).

  • peak side lobe levels
  • side lobe levels
  • 
side lobes nulls

The following image illustrates parameters I need.

enter image description here

How I can compute those values using Matlab or Python?

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Zero pad your FFT (append zeros) such that you get more samples of the Discrete Time Fourier Transform (DTFT). The DTFT would give you the sidelobes and roll-off that you want to see (specifically for your diagram you would zero pad an input that is all ones, or an input that is any constant value).

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