A Novel kind of WVD Associated with the Linear Canonical Transform

Linear canonical transformation (LCT), as an extension of the Fourier transform and fractional Fourier transform, has emerged as a useful tool for the nonstationary signals processing. In this paper, a novel kind of Wigner-Ville distribution associated with the LCT (WVL) is presented. First, in order to eliminate the coupling between time variable t and lag variable τ, the WVL is defined based on the scaled parametric symmetric instantaneous autocorrelation function.Second, the WVL of multicomponent linear frequency modulated (LFM) signal is investigated, and the results show that WVL can mitigate the influence of some cross-terms. Finally, through simulation experiments and comparison with the classical WVD, it is verified that WVL has a better ability to suppress cross-terms and significantly improves the detection of multicomponent LFM signals.