Proportional nonuniform multi-Gabor expansions

Authors:
Shidong Li
Affiliations:
College of Science and Engineering, San Francisco State University, San Francisco, CA
Venue:
EURASIP Journal on Applied Signal Processing
Year:
2004

Citing 8
Cited 1

Continuous and discrete wavelet transforms

SIAM Review
Discrete Gabor expansions

Signal Processing
Optimal biorthogonal functions for finite discrete-time Gabor expansion

Signal Processing
Gabor wavelets and the Heisenberg group: Gabor expansions and short time Fourier transform from the group theoretical point of view

Wavelets: a tutorial in theory and applications
Gabor Analysis and Algorithms: Theory and Applications

Gabor Analysis and Algorithms: Theory and Applications
A parametric class of discrete Gabor expansions

IEEE Transactions on Signal Processing
Discrete multi-Gabor expansions

IEEE Transactions on Information Theory
The analysis and design of windowed Fourier frame based multiple description source coding schemes

IEEE Transactions on Information Theory

An application of Newton's method in wireless systems

Proceedings of the 8th International Conference on Frontiers of Information Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

A nonuniform multi-Gabor expansion (MGE) scheme is studied under proportional time and frequency (TF) shifts among different window indices m. In particular, TF parameters for each m are different, but proportional and relevant to windows' TF patterns. The generation of synthesis waveforms for nonuniform MGE is generally difficult. We show constructively that there is a set of basic synthesis MGE waveforms at each window index under proportional parameter settings. Nonuniform MGE adapts to signal frequency dynamics effectively, and eliminates unnecessary overlapping redundancies of a uniform MGE. Examples of the evaluation of synthesis waveforms are provided. Efficiency comparison of TF analysis using nonuniform and uniform MGEs is also discussed.