We prove that the unique Gabor window leading to an analytic model space is the Gaussian one, and we give an analogous result for the wavelet transform. For the general case we give a new approach to study irregular Gabor and wavelet frames. We improve some known results for Gabor windows in the Feichtinger algebra, and for a special class of wavelets. © 2009 IEEE.
|Journal||IEEE Transactions on Information Theory|
|Publication status||Published - 27 May 2009|
- Continuous transform
- Gabor system
- Sampling sets