Multiple Window Time-Frequency and Time-Scale Analysis

Metin Bayram and Richard G. Baraniuk
Department of Electrical and Computer Engineering
Rice University
Houston, TX 77251-1892


We propose an extension of Thomson's multiple window spectrum estimation for stationary random processes to the time-varying spectrum estimation of non-stationary random processes. Unlike previous extensions of Thomson's method, in this paper we identify and utilize optimally concentrated window and wavelet functions for the time-frequency and time-scale planes respectively. Moreover, we develop a statistical test for detecting and extracting chirping line components.