Improved wigner-ville distribution performance based on DCT/DFT harmonic wavelet transform and modified magnitude group delay

A new Wigner-Ville Distribution (WVD) estimation is proposed. This improved13; and efficient WVD is based on Signal Decomposition (SD) by DCT or DFT Harmonic13; Wavelet Transform (DCTHWT or DFTHWT) and the Modified Magnitude Group13; Delay (MMGD). The MMGD processing can be either in fullband or subband. The SD13; by DCTHWT provides better quality low leakage decimated subband components.13; The concatenation of WVDs of the subbands results in an overall WVD, significantly13; free from crossterms and Gibbs ripple. As no smoothing window is used for the13; instantaneous autocorrelation, MMGD removes or reduces the Gibbs ripple preserving13; the frequency resolution achieved by the DCT/DFT HWT. The SD by DCTHWT13; compared to that of DFTHWT, has improved frequency resolution and detectability.13; These are due to the symmetrical data extension and the consequential low leakage13; (bias and variance). As the zeros due to the associated white noise are removed by the13; MMGD effectively in subband domain than in fullband, the proposed WVD based on13; subband has a better noise immunity. Compared to fullband WVD, the subband WVD13; is computationally efficient and achieves a significantly better: frequency resolution,13; detectability of low-level signal in the presence of high level one and variance. The SD13; based methods, however cannot bring out the frequency transition path from band to13; band clearly, as there will be gap in the contour plot at the transition. For the proposed13; methods, the Heart rate variability (HRV) real data is also considered as an example