I want to take the 2-dimensional discrete STFT of an image with a Gaussian window (or periodized Gaussian). When I recover the image with the inverse transform and dual window, I want to increase the sampling rate to recover an image with increased resolution so that I'll be sampling the trigonometric functions at more points.
I implemented the transform and inverse without changing the sampling using the LTFAT package in Matlab, but I can't figure out how to do the upsampling. I ran into the problem of not being able to sample the dual window properly. Maybe the equation for the dual window doesn't work for this. Any suggestions concerning the theory or the implementation would be greatly appreciated.