2008
DOI: 10.1007/978-3-540-69905-7_59
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Comparison of the Cross Deleted Wigner Representation and the Matching Pursuit Distribution (Via Adaptive Signal Decomposition)

Abstract: 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 … Show more

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Cited by 2 publications
(3 citation statements)
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“…3b. The MPD is an iterative cross-terms free TFD [38], [39]. Nonetheless, its performance is hindered by computational complexity and is influenced by the signal variability [42].…”
Section: B Piece-wise Lfm Decompositionmentioning
confidence: 99%
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“…3b. The MPD is an iterative cross-terms free TFD [38], [39]. Nonetheless, its performance is hindered by computational complexity and is influenced by the signal variability [42].…”
Section: B Piece-wise Lfm Decompositionmentioning
confidence: 99%
“…The MP approach decomposes an input signal z(t) via a dictionary that contains a set of elementary TF atoms [38]. It projects z(t) over the TF atoms and then selects those that match its local structure in an adaptive greedy fashion [39]. The MP decomposition is expressed as follows [38]:…”
Section: A the Matching Pursuit Distributionmentioning
confidence: 99%
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