The Gabor scheme is generalized to incorporate several window functions as well as kernels other than the exponential. The properties of the sequence of representation functions are characterized by an approach based on the concept of frames. Utilizing the piecewise Zak transform (PZT), the frame op
Frame analysis of the discrete Gabor-scheme
β Scribed by Zibulski, M.; Zeevi, Y.Y.
- Book ID
- 119789761
- Publisher
- IEEE
- Year
- 1994
- Tongue
- English
- Weight
- 393 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1053-587X
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π SIMILAR VOLUMES
This paper lays the foundation for a quantitative theory of Gabor expansions f (x)= k, n c k, n e 2?in:x g(x&k;). In analogy to wavelet expansions of Besov Triebel Lizorkin spaces, we show that the correct class of spaces which can be characterized by the magnitude of the coefficients c k, n is the
In this paper, we study the stability of Gabor frames Ο mb na m n β Z . We show that Ο mb na m n β Z remains a frame under a small perturbation of Ο m, or n. Our results improve some results from Favier and Zalik and are applicable to many frequently used Gabor frames. In particular, we study the ca