Generalized time-bandwidth product optimal short-time fourier transformation

Date
2002-05
Advisor
Instructor
Source Title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
II 1465 - II 1468
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract

By extending the time-bandwidth product concept to fractional Fourier domains, a generalized time-bandwidth product (GTBP) is introduced. The GTBP provides a rotation independent measure for the support of the signals in time-frequency domain. A close form expression for the adaptive kernel of STFT that provides the minimum increase on the GTBP of a signal is derived. Also, a linear canonical decomposition of the obtained GTBP optimal STFT is presented to identify its relation to the rotationally invariant STFT analysis.

Course
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Book Title
Keywords
Canonical decomposition, Fractional Fourier transform, Generalized time bandwidth product, Bandwidth, Clutter (information theory), Fourier transforms, Frequency domain analysis, Optimization, Time domain analysis, Signal processing
Citation
Published Version (Please cite this version)