Model spaces results for the Gabor and Wavelet transforms
arXiv:0804.3254 · doi:10.1109/TIT.2009.2016028
Abstract
We prove that the unique Gabor atom with analytical model space is the Gaussian function. We give an analogous result for the wavelet transform. For the general case we give a new approach to study the irregular Gabor and wavelet frames. We improve some results for Gabor atoms in the Feichtinger algebra, and for a special class of wavelets.
Submitted to IEEE Transactions on Information Theory
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