Group delay functions for complex signals
Signal Processing
Multirate systems and filter banks
Multirate systems and filter banks
The use of a filter bank and the Wigner-Ville distribution fortime-frequency representation
IEEE Transactions on Signal Processing
Estimation of evolutionary spectrum based on short time Fourier transform and modified group delay
Signal Processing - Signal processing in communications
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A new approach has been proposed for improving the performance of the Wigner-Ville distribution. This approach is based on signal decomposition and modified magnitude group delay function. Signal decomposition achieved by perfect reconstruction filter bank reduces significantly the existence of crossterms. The Gibbs ripple effect is due to truncation of the Wigner-Ville distribution kernel. The modified magnitude group delay function overcomes this effect without applying any window. Compared to those of Pseudo Wigner-Ville distribution and its versions, the proposed method has significantly improved performance in both time and frequency resolution as there is no time and frequency smoothing. Further, this method obeys better the desirable properties of time-frequency representation and has a better noise immunity.