Multitaper Wigner distribution with pre-determined doppler-lag bandwdith 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 proposedmethod 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.