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| A New Method to Suppress Cross-Terms of WVD via Thresholding
Superimposition of Multiple Spectrograms |
| Li Yu-qing①; Shui Peng-lang②; Lin Ying③ |
①Department of Mathematics, Science School, Xidian University, Xi’an 710071, China;
②Key Lab. for Radar Signal Processing, Xidian University, Xi’an 710071, China |
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Abstract In this paper, a new method is proposed to suppress the cross-terms of Wigner-Ville Distribution (WVD), which is based on thresholding the superimposition of multiple spectrograms. First, the spectrograms with different time-frequency resolutions are superimposed and then the superimposition is thresholded to localize the auto-term support region of the WVD. Secondly, the WVD is multiplied by the indication function of the region. In this way, a new Time-Frequency Distribution (TFD) is obtained. Unlike the traditional kernel function methods to suppress cross terms, our method not only reduces the interfering cross-terms but also preserves the superb time-frequency concentration of the WVD. The experimental results show that the method is very effective for both the multicomponent signals consisted of the LFM’s and nonlinear frequency modulation chirp signals.
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Received: 16 December 2004
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2006, Vol. 28 
