Title
Comparison of the Cross Deleted Wigner Representation and the Matching Pursuit Distribution (Via Adaptive Signal Decomposition)
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.
Year
DOI
Venue
2008
10.1007/978-3-540-69905-7_59
ICISP
Keywords
Field
DocType
via adaptive signal decomposition,mp distribution,multi-component signal,wigner distribution,cross deleted wigner representation,matching pursuit,cross-deleted wigner representation,time-frequency representation,original wigner-ville distribution,gabor expansion,cross term,matching pursuit distribution,noise reduction capability,noise reduction,time frequency representation
Noise reduction,Gabor–Wigner transform,Matching pursuit,Wigner distribution function,Gabor expansion,Mathematical analysis,Mathematics
Conference
Volume
ISSN
Citations 
5099
0302-9743
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
S. Ghofrani1152.40
D. C. Mclernnon200.34