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 proceedingConference contribution

20 Scopus citations

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 languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference of Signals, Systems & Computers
PublisherPubl by IEEE
Pages1265-1270
Number of pages6
ISBN (Print)0818641207
StatePublished - Dec 1 1993
Externally publishedYes
EventProceedings of the 27th Asilomar Conference on Signals, Systems & Computers - Pacific Grove, CA, USA
Duration: Nov 1 1993Nov 3 1993

Publication series

NameConference Record of the Asilomar Conference of Signals, Systems & Computers
Volume2
ISSN (Print)1058-6393

Other

OtherProceedings of the 27th Asilomar Conference on Signals, Systems & Computers
CityPacific Grove, CA, USA
Period11/1/9311/3/93

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.