Generalized time-bandwidth product optimal short-time fourier transformation
Date
2002-05
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Source Title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
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Publisher
IEEE
Volume
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Pages
II 1465 - II 1468
Language
English
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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.