On rotated time-frequency kernels

M.J. Bastiaans, T. Alieva, L. Stankovic

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Abstract

The principal axes of the time-frequency representation of a signal are defined as those mutually orthogonal directions in the time-frequency plane for which the width of the signal's fractional power spectrum is minimum or maximum. The time-frequency kernels used in the Cohen class of time-frequency representations are then rotated in the time-frequency plane, in order to align the kernels' preferred axes to the signal's principal axes. It is shown that the resulting time-frequency representations show a better reduction of cross-terms without too severely degrading the auto-terms than the corresponding, original time-frequency representations.
Original languageEnglish
Pages (from-to)378-381
Number of pages4
JournalIEEE Signal Processing Letters
Volume9
Issue number11
DOIs
Publication statusPublished - 2002

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Power spectrum
kernel
Fractional Powers
Term
Power Spectrum

Cite this

Bastiaans, M.J. ; Alieva, T. ; Stankovic, L. / On rotated time-frequency kernels. In: IEEE Signal Processing Letters. 2002 ; Vol. 9, No. 11. pp. 378-381.
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On rotated time-frequency kernels. / Bastiaans, M.J.; Alieva, T.; Stankovic, L.

In: IEEE Signal Processing Letters, Vol. 9, No. 11, 2002, p. 378-381.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Stankovic, L.

PY - 2002

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AB - The principal axes of the time-frequency representation of a signal are defined as those mutually orthogonal directions in the time-frequency plane for which the width of the signal's fractional power spectrum is minimum or maximum. The time-frequency kernels used in the Cohen class of time-frequency representations are then rotated in the time-frequency plane, in order to align the kernels' preferred axes to the signal's principal axes. It is shown that the resulting time-frequency representations show a better reduction of cross-terms without too severely degrading the auto-terms than the corresponding, original time-frequency representations.

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DO - 10.1109/LSP.2002.805118

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

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