Open Access

Proportional Nonuniform Multi-Gabor Expansions

EURASIP Journal on Advances in Signal Processing20042004:846084

https://doi.org/10.1155/S1110865704408178

Received: 18 December 2003

Published: 27 December 2004

Abstract

A nonuniform multi-Gabor expansion (MGE) scheme is studied under proportional time and frequency (TF) shifts among different window indices . In particular, TF parameters for each 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.

Keywords and phrases

nonuniform time-frequency shifts multi-Gabor representations time-frequency analysis frames dual frames

Authors’ Affiliations

(1)
College of Science and Engineering, San Francisco State University

Copyright

© Li 2004