S-class of time–frequency distributions

Abstract
A new general class of distributions (S-class of distributions) for time–frequency signal analysis is proposed. This class is derived by generalising recently defined S-distribution. It is possible to define the S-counterpart distribution for each known distribution from the Cohen class, such that some of the performances may be improved. This class of distributions may be treated as a variant of the author's L-class of distributions, but it may satisfy unbiased energy conditions, time marginal as well as the frequency marginal in the case of asymptotic signals. A method for the realisation of the S-distribution which will be, in the case of multicomponent signals, equal to the sum of S-distributions of each component separately, is presented. Theory is illustrated by examples.