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2013 Apr 19
1
How to select the scale parameter for Gabor transform (Rwave)?
...0 samples apart, and in frequency I would like to separate bands 0.04 Hz apart. I tried the two approaches described below and they gave me different results. I would appreciate advise on how to do this. The Rwave Gabor transform uses a Gaussian window; i.e., g(x)=exp(-x^2/(2*sigma)), with radius deltaG=sqrt(sigma/2). The Fourier transform of this window has a radius deltaGHat=1/sqrt(2*sigma). Solving for deltaG=10 I get sigma=200, which in turn gives deltaGHat=0.05 radians=0.008 Hz. So, sigma=200 should satisfy the requirements above. To make sure sigma=200 works in practice, I computed the Ga...