Title :
On the generalized Weyl correspondence and its application to time-frequency analysis of linear time-varying systems
Author_Institution :
INTHFT, Tech. Univ. Wien, Austria
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
Keywords :
linear systems; signal processing; spectral analysis; telecommunication channels; time-frequency analysis; time-varying systems; LTV systems; WSSUS channel; generalized Weyl correspondence; linear time-varying systems; nonredundant filter design quadratic signal analysis; nonstationary processes; short time Fourier transform; synthesis; time-frequency analysis; time-varying spectral analysis; wide-sense stationary uncorrelated scattering channels; Eigenvalues and eigenfunctions; Linear systems; Nonlinear filters; Power system modeling; Signal analysis; Signal synthesis; Spectral analysis; Time frequency analysis; Time varying systems; Transfer functions;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274210
