Baraniuk, Richard G.2009-06-042009-06-041996Bayram, Metin. "Multiple window time-frequency analysis." (1996) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/14057">https://hdl.handle.net/1911/14057</a>.https://hdl.handle.net/1911/14057The bias-variance trade-off is an important issue is spectrum estimation. In 1982, Thomson introduced a powerful multiple window method for stationary signals that deals with the bias-variance trade-off in an optimal fashion. In this thesis, we extend Thomson's method to the time-frequency and time-scale planes, and propose a new method to estimate the time-varying spectrum of non-stationary random processes. Unlike previous extensions of Thomson's method, we identify and utilize optimally concentrated window and wavelet functions, and develop a statistical test for detecting chirping line components. The optimal windows are the Hermite functions for time-frequency analysis, and the Morse wavelets for time-scale analysis.50 p.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ElectronicsElectrical engineeringThesisTHESIS E.E. 1996 BAYRAM