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deltachat
2013 Apr 19
1
How to select the scale parameter for Gabor transform (Rwave)?
...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 Gabor transform of
two sinusoids separated by 0.04 Hz plus two spikes separat...