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

Zheng, Liying, Shi, Daming and Zhang, Jing (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. ISSN 0165-1684

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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.

Item Type: Article
Additional Information: Available online 5 July 2013
Keywords (uncontrolled): Center-affine-filter; Cross-terms; Fractional Fourier transform; Principal axes; Wigner distribution
Research Areas: A. > School of Science and Technology > Computer Science > Artificial Intelligence group
Item ID: 16789
Depositing User: Daming Shi
Date Deposited: 03 Jun 2015 13:54
Last Modified: 07 Mar 2017 12:10
URI: https://eprints.mdx.ac.uk/id/eprint/16789

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