Open Access

Computationally Efficient Scale Covariant Time-Frequency Distributions

EURASIP Journal on Advances in Signal Processing20092009:204351

https://doi.org/10.1155/2009/204351

Received: 3 October 2008

Accepted: 3 February 2009

Published: 18 February 2009

Abstract

Scale is a physical attribute of a signal which occurs in many natural settings. Time-frequency distributions (TFDs) belonging to Cohen's class are invariant to time and frequency shifts, but are not necessarily covariant to the time scalings of the signal. Conditions on the time-frequency kernel for yielding a scale covariant distribution have been previously derived (Cohen, 1995). In this paper, a new class of computationally efficient scale covariant distributions is introduced. These distributions are constructed using the eigendecomposition of time-frequency kernels (Burrus et al., 1997). The performance of this new class of distributions is illustrated with examples and is compared to conventional scale covariant distributions.

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Authors’ Affiliations

(1)
Department of Electrical and Computer Engineering, Michigan State University

Copyright

© Selin Aviyente. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.