Multiple window time-frequency and time-scale analysis

Metin Bayram, Richard G. Baraniuk · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996

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.

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