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Adaptive Filter Bank Time-Frequency Representations


Abstract A signal with time-varying frequency content can often be expressed more clearly using a time-frequency representation (TFR), which maps the signal into a two-dimensional function of time and frequency, similar to musical notation. The thesis reviews one of the most commonly used TFRs, the Wigner distribution (WD), and discusses its application in Fourier optics: it is shown that the WD is analogous to the spectral dispersion that results from a diffraction grating, and time and frequency are similarly analogous to a one dimensional spatial coordinate and wavenumber. The grating is compared with a simple polychromator, which is a bank of optical filters. Another well-known TFR is the short time Fourier transform (STFT). Its discrete version... (more)
Created Date 2012
Contributor Weber, Peter Christian (Author) / Papandreou-Suppappola, Antonia (Advisor) / Tepedelenlioglu, Cihan (Committee member) / Kovvali, Narayan (Committee member) / Arizona State University (Publisher)
Subject Electrical engineering / Adaptive Signal Processing / Filter Banks / Time-Frequency Representations
Type Masters Thesis
Extent 89 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note M.S. Electrical Engineering 2012
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis