Multi taper wigner distribution with predetermined Doppler-lag bandwidth and sidelobe suppression

Multi taper spectrogram decomposition of the time-lag kernel of a time-frequency distribution might result in computationally efficient calculations if the number of multi tapers to be considered in the spectrogram are small. In this paper, penalty functions are designed and used in the computation of multi tapers corresponding to the Wigner distribution time-lag kernel. The resulting multi taper spectrogram will approximately fulfill the concentration of the Wigner distribution but will also suppress the usual Wigner distribution cross-terms outside a predetermined Doppler-lag bandwidth. The level of the cross-term suppression is determined by a parameter of the penalty function. The proposed method uses a limited number of multi tapers which is determined by the decided bandwidth. The time-frequency concentration of the proposed method is compared to other well-known distributions. The performance for white noise disturbances are also evaluated.