Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes

Franz Hlawatsch; Antonia Papandreou; G. Faye Boudreaux-Bartels

Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes

Franz Hlawatsch, Antonia Papandreou, G. Faye Boudreaux-Bartels

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The affine and hyperbolic classes of quadratic time-frequency representations (QTFRs) are frameworks for multiresolution or constant-Q time-frequency analysis. This paper generalizes the affine and hyperbolic QTFR classes by introducing the power classes (PCs) which comprise all QTFRs that are scale-covariant and covariant to power-law time shifts. The affine and hyperbolic classes are special cases of the PCs. We show that the PCs can be obtained from the affine class through a `power warping' mapping. We discuss signal transformations related to the PCs, the description of the PCs by kernel functions, desirable properties and kernel constraints, and specific PC members.

Original language	English (US)
Title of host publication	Conference Record of the Asilomar Conference of Signals, Systems & Computers
Publisher	Publ by IEEE
Pages	1265-1270
Number of pages	6
ISBN (Print)	0818641207
State	Published - Dec 1 1993
Externally published	Yes
Event	Proceedings of the 27th Asilomar Conference on Signals, Systems & Computers - Pacific Grove, CA, USA Duration: Nov 1 1993 → Nov 3 1993

Publication series

Name	Conference Record of the Asilomar Conference of Signals, Systems & Computers
Volume	2
ISSN (Print)	1058-6393

Other

Other	Proceedings of the 27th Asilomar Conference on Signals, Systems & Computers
City	Pacific Grove, CA, USA
Period	11/1/93 → 11/3/93

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Cite this

Hlawatsch, F., Papandreou, A., & Boudreaux-Bartels, G. F. (1993). Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes. In Conference Record of the Asilomar Conference of Signals, Systems & Computers (pp. 1265-1270). (Conference Record of the Asilomar Conference of Signals, Systems & Computers; Vol. 2). Publ by IEEE.

Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes. / Hlawatsch, Franz; Papandreou, Antonia; Boudreaux-Bartels, G. Faye.
Conference Record of the Asilomar Conference of Signals, Systems & Computers. Publ by IEEE, 1993. p. 1265-1270 (Conference Record of the Asilomar Conference of Signals, Systems & Computers; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hlawatsch, F, Papandreou, A & Boudreaux-Bartels, GF 1993, Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes. in Conference Record of the Asilomar Conference of Signals, Systems & Computers. Conference Record of the Asilomar Conference of Signals, Systems & Computers, vol. 2, Publ by IEEE, pp. 1265-1270, Proceedings of the 27th Asilomar Conference on Signals, Systems & Computers, Pacific Grove, CA, USA, 11/1/93.

Hlawatsch, Franz ; Papandreou, Antonia ; Boudreaux-Bartels, G. Faye. / Power classes of quadratic time-frequency representations : A generalization of the affine and hyperbolic classes. Conference Record of the Asilomar Conference of Signals, Systems & Computers. Publ by IEEE, 1993. pp. 1265-1270 (Conference Record of the Asilomar Conference of Signals, Systems & Computers).

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Power classes of quadratic time-frequency representations: A generalization of the affine and hyperbolic classes

Abstract

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ASJC Scopus subject areas

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