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We present a fractional Gabor expansion on a general, non-rectangular time-frequency lattice. The traditional Gabor expansion represents a signal in terms of time- and frequency-shifted basis functions, called Gabor logons. This constant-bandwidth analysis results in a fixed, rectangular time frequency plane tiling. Many of the practical signals require a more flexible, non-rectangular time-frequency lattice for a compact representation. The proposed fractional Gabor expansion uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling. The completeness and bi-orthogonality conditions of the new Gabor basis are discussed
Published in:
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
(Volume:6
)
Date of Conference: 2001
- Page(s):
- 3529 - 3532 vol.6
- Meeting Date :
- 07 May 2001-11 May 2001
- ISSN :
- 1520-6149
- Print ISBN:
- 0-7803-7041-4
- INSPEC Accession Number:
- 7144883
- Conference Location :
- Salt Lake City, UT
- Digital Object Identifier :
- 10.1109/ICASSP.2001.940603
- Product Type:
- Conference Publications
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