Generalized time-bandwidth product optimal short-time fourier transformation

Lütfiye Durak; Orhan Arikan

doi:10.1109/ICASSP.2002.5744889

Generalized time-bandwidth product optimal short-time fourier transformation

Lütfiye Durak
, Orhan Arikan

Bilkent University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1465-1468
Number of pages	4
Journal	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume	2
DOIs	https://doi.org/10.1109/ICASSP.2002.5744889
Publication status	Published - 2002
Externally published	Yes

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

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

ER -

Generalized time-bandwidth product optimal short-time fourier transformation

Abstract

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