CAF-FrFT: a center-affine-filter with fractional Fourier transform to reduce the cross-terms of Wigner distribution

Article


Zheng, L., Shi, D. and Zhang, J. 2014. CAF-FrFT: a center-affine-filter with fractional Fourier transform to reduce the cross-terms of Wigner distribution. Signal Processing. 94, pp. 330-338. https://doi.org/10.1016/j.sigpro.2013.06.031
TypeArticle
TitleCAF-FrFT: a center-affine-filter with fractional Fourier transform to reduce the cross-terms of Wigner distribution
AuthorsZheng, L., Shi, D. and Zhang, J.
Abstract

As a popular time–frequency representation, the Wigner distribution (WD) enjoys its excellent property of highly concentrated auto-terms, but suffers from cross-term problem. To reduce the cross-terms, we propose a method to apply a center-affine-filter (CAF) to the rotated version of the WD obtaining from the fractional Fourier transform (FrFT). We call this method a center-affine-filter with the fractional Fourier transform (CAF–FrFT). Here the optimal rotation angle is obtained via the FrFT of a signal under the criterion of maximum amplitude. The simulations were conducted on two types of signals, namely, parallel signals, and non-parallel signals. Both the qualitative comparisons and the quantitative measures show that the proposed CAF–FrFT outperforms the original CAF method.

KeywordsCenter-affine-filter; Cross-terms; Fractional Fourier transform; Principal axes; Wigner distribution
Research GroupArtificial Intelligence group
PublisherElsevier
JournalSignal Processing
ISSN0165-1684
Electronic1872-7557
Publication dates
Online05 Jul 2013
Print01 Jan 2014
Publication process dates
Deposited03 Jun 2015
Accepted28 Jun 2013
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1016/j.sigpro.2013.06.031
LanguageEnglish
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