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 [Article] (doi:10.1016/j.sigpro.2013.06.031)
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 |
---|---|
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: | 15 Sep 2020 15:24 |
URI: | https://eprints.mdx.ac.uk/id/eprint/16789 |
Actions (login required)
![]() |
View Item |
Statistics
Additional statistics are available via IRStats2.