On the generalized Weyl correspondence and its application to time-frequency analysis of linear time-varying systems

Abstract

Analysis of linear time-varying (LTV) systems is closely related to time-varying spectral analysis of nonstationary processes. The classical theory of LTV systems and well-known concepts from time-varying spectral analysis are linked for the purposes of the study. Formulation of the generalized Weyl correspondence provides a unified time-frequency (TF) framework for linear system analysis and synthesis. The conceptual basis of this approach is linear TF analysis of LTV systems by quadratic TF signal analysis. Applications discussed include a new model for wide-sense stationary uncorrelated scattering channels and nonredundant TF filter design. >