Comparison of the Cross Deleted Wigner Representation and the Matching Pursuit Distribution (Via Adaptive Signal Decomposition)

Authors:
S. Ghofrani;D. C. Mclernnon
Affiliations:
Electrical Engineering Department, Islamic Azad University, Tehran, Iran;School of Electronic and Electrical Engineering, the University of Leeds, Leeds, UK
Venue:
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Year:
2008

Citing 2
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Wigner distribution decomposition and cross-term deleted representation

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Algorithm 820: A flexible implementation of matching pursuit for Gabor functions on the interval

ACM Transactions on Mathematical Software (TOMS)

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Abstract

The cross-deleted Wigner representation (CDWR) suppresses the cross terms present in the Wigner distribution of a multi-component signal by decomposing the Wigner distribution (via the Gabor expansion) into terms that affect the auto- and cross-terms. The Matching Pursuit (MP) distribution is also a time-frequency representation that is devoid of cross terms. In this paper we decompose a signal by both the Gabor expansion and MP. Then the CDWR and the MP distribution are obtained. We then compare and contrast both representations (along with the original Wigner-Ville distribution (WVD)) with respect to (i) concentration/resolution, (ii) noise reduction capabilities and (iii) frequency and time resolvability.