Signal synthesis and positive time-frequency distributions

A method for obtaining a generalized transfer function (GTF) of a linear ti me-varying system based on evolutionary spectral theory is proposed. This G TF can be used to synthesize the signal, and its magnitude squared function results in the signal's positive time-frequency distribution that satisfie s the marginals (i.e,, a Cohen-Posch TFD). The procedure allows any prior e stimate of the GTF to be modified such that the resulting posterior GTF is closest in the least square sense to the prior and satisfies the above-ment ioned properties. Examples are presented to illustrate the performance of t he method. (C) 2000 The Franklin Institute. Published by Elsevier Science L td. All rights reserved.