Tuesday, April 3, 2018

transform - STFT multiplied with Gaussian window vs STFT multiplied by rectangular window


I am currently analysing my signal by looking at its spectrogram to determine the sinusoidal frequency content at the local sections of my signal overtime. I can do my spectrogram in 2 ways:



  1. Directly get the FFT of each local sections. Same as I multiply each section by a rectangular window with a height 1 and get the FFT.

  2. Multiply each section by a Gaussian window and get the FFT.



Apparently, I get 2 different pictures of my spectrogram. Number 2 is known as the Gabor Transform.


My question here is, what is the motivation for doing the Gabor Transform vs directly doing the FFT at each section of a signal?




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