Generalized time-bandwidth product optimal short-time fourier transformation

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Generalized time-bandwidth product optimal short-time fourier transformation.pdf (898.58 KB)

Date

2002-05

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ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

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IEEE

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II 1465 - II 1468

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English

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Conference Paper

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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.

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Canonical decomposition, Fractional Fourier transform, Generalized time bandwidth product, Bandwidth, Clutter (information theory), Fourier transforms, Frequency domain analysis, Optimization, Time domain analysis, Signal processing

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http://hdl.handle.net/11693/27572

Published Version (Please cite this version)

https://doi.org/10.1109/ICASSP.2002.5744889

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Scholarly Publications - Electrical and Electronics Engineering