A METHOD FOR IMPROVED DISTRIBUTION CONCENTRATION IN THE TIME-FREQUENCY ANALYSIS OF MULTICOMPONENT SIGNALS USING THE L-WIGNER DISTRIBUTION

The energy location in the Cohen class of time-frequency distributions is analyzed, If the instantaneous frequency is linear, then only the Wigner distribution produces the ideal energy concentration, The scaled version of the Wigner distribution (L-Wigner distribution), is used to improve the time-frequency representation of signals with nonlinear instantaneous frequencies. In the case of multicomponent signals, the cross terms, appearing in the Wigner distribution and in the L-Wigner distribution, can be easily removed or reduced in a computationally very efficient way. The theory is illustrated on the numerical examples with multicomponent noisy signals.