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Efficient Analysis and Synthesis Using a New Factorization of the Gabor Frame Matrix.
- Source :
- IEEE Transactions on Signal Processing; 9/1/2018, Vol. 66 Issue 17, p4564-4573, 10p
- Publication Year :
- 2018
-
Abstract
- In this paper, we consider the case in which one needs to carry out Gabor analysis and synthesis on large signals using a short support analysis window and its corresponding, possibly longer canonical dual window, respectively. In this asymmetric context, we propose a novel factorization of the Gabor frame operator that exploits its strong and well-known structure and leads to a computational cost for synthesis, which is comparable to the one needed for short support analysis. The proposed factorization applies to any Gabor system with very mild conditions and leads to a potentially promising alternative to current synthesis algorithms in the case of short analysis windows whose support is slightly above the number of frequency channels. [ABSTRACT FROM AUTHOR]
- Subjects :
- SIGNAL processing
GABOR filters
ALGORITHMS
MATRIX decomposition
FACTORIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 1053587X
- Volume :
- 66
- Issue :
- 17
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Signal Processing
- Publication Type :
- Academic Journal
- Accession number :
- 132683915
- Full Text :
- https://doi.org/10.1109/TSP.2018.2855643