Improved Wigner Ville Distribution Based on Signal Decomposition and Modified Magnitude Group Delay

Abstract:

A new method was proposed for improving the performance of the Wigner Ville distribution. The WVDs of the subbands gotten by DCHWT (discrete cosine harmonic wavelet transform), was concatenated to obtain an overall WVD, significantly free from the existence of cross-terms was applied to reduce the Gibbs effect from the truncation of the Wigner Ville distribution kernel. Examples of application demonstrated that this proposed method obeys the desirable properties of time-frequency resolution and strikingly reduces cross-terms. This method can realize the simple and fast algorithm through DCT discrete cosine transform and is suitable for joint time-frequency analysis of non-stationary engineering signal.