2017
DOI: 10.1049/iet-spr.2016.0358
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Elimination of cross‐terms in the Wigner–Ville distribution of multi‐component LFM signals

Abstract: A novel method is put forward to remove cross-terms in the Wigner-Ville distribution (WVD) of multicomponent linear frequency modulation (LFM) signals. For the difference of the amplitude of auto-terms and cross-terms, the WVD matrix is filtered using low-pass filter in the direction of frequency modulation ratio. Furthermore, a novel technique called energy weight is proposed for the cross-terms with low-oscillation frequency which cannot be eliminated because of the limitation of filters. The gain of signal … Show more

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Cited by 23 publications
(11 citation statements)
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“…Compared with sparse component analysis, time‐frequency analysis can separate signals without sparsity. The common time‐frequency analysis methods are short‐time Fourier transform and Wigner‐Ville distribution (WVD) . These methods are always affected by the difference of frequency concentration or cross terms when processing multiple components.…”
Section: Introductionmentioning
confidence: 99%
“…Compared with sparse component analysis, time‐frequency analysis can separate signals without sparsity. The common time‐frequency analysis methods are short‐time Fourier transform and Wigner‐Ville distribution (WVD) . These methods are always affected by the difference of frequency concentration or cross terms when processing multiple components.…”
Section: Introductionmentioning
confidence: 99%
“…A pure idea is offered by Aiordachioaie and Popescu, as starting initial point to compose an approach to suppress the cross terms and to attain an exact image of WVD, including only the auto-terms [22]. A new method is offered by Wu and Li to suppress cross terms in the WVD of linear frequency modulation signals with multicomponent [23].…”
Section: Introductionmentioning
confidence: 99%
“…Although WVD represents the energy distribution of the signal well, the effect of the cross-terms still restricts the detection performance. A method was put forward by Yushuang Wu and Xiukun Li to remove the cross-terms in WVD [ 10 ], but it has not been applied for target detection. The energy of the LFM signal can be focused by fractional Fourier transform (FrFT), which is used for radar detection in heavy sea clutter [ 11 , 12 ].…”
Section: Introductionmentioning
confidence: 99%