Comparison of the Cross Deleted Wigner Representation and the Matching Pursuit Distribution (Via Adaptive Signal Decomposition)
The cross-deleted Wigner representation (CDWR) suppresses the cross terms present in the Wigner distribution of a multi-component signal by decomposing the Wigner distribution (via the Gabor expansion) into terms that affect the auto- and cross-terms. The Matching Pursuit (MP) distribution is also a time-frequency representation that is devoid of cross terms. In this paper we decompose a signal by both the Gabor expansion and MP. Then the CDWR and the MP distribution are obtained. We then compare and contrast both representations (along with the original Wigner-Ville distribution (WVD)) with respect to (i) concentration/resolution, (ii) noise reduction capabilities and (iii) frequency and time resolvability.
KeywordsWigner-Ville distribution cross deleted Wigner representation matching pursuit Gabor expansion
- 3.Kadambe, S., Orr, R.: Instantaneous frequency estimation using the cross- term deleted Wigner representation (CDWR). In: TFTS 1996, pp. 289–292 (1996)Google Scholar
- 5.Gabor, D.: Theory of communication. J. Inst. Electr. Eng. 93(3), 429–457 (1946)Google Scholar
- 6.Qian, S.: Introduction to time- frequency and wavelet transforms. Prentice-Hall, Englewood Cliffs (2002)Google Scholar
- 7.Qian, S., Stankovic, L.: Analysis of noise in time- frequency distributions. IEEE Signal Processing Letters 9(9) (2002)Google Scholar