Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts

Antonia Papandreou-Suppappola, F. Hlawatsch, G. F. Boudreaux-Bartels

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

We propose a framework that unifies and extends the affine, hyperbolic, and power classes of quadratic time-frequency representations (QTFRs). These QTFR classes satisfy the scale covariance property, important in multiresolution analysis, and a generalized time-shift covariance property, important in the analysis of signals propagating through dispersive systems. We provide a general class formulation in terms of 2-D kernels, a generalized signal expansion, a list of desirable QTFR properties with kernel constraints, and a 'central QTFR' generalizing the Wigner distribution and the Altes-Marinovich Q-distribution. We also propose two generalized time-shift covariant (not, in general, scale covariant) QTFR classes by applying a generalized warping to Cohen's class and to the affine class.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Pages1017-1020
Number of pages4
Volume2
StatePublished - 1995
Externally publishedYes
EventProceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5) - Detroit, MI, USA
Duration: May 9 1995May 12 1995

Other

OtherProceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5)
CityDetroit, MI, USA
Period5/9/955/12/95

Fingerprint

Multiresolution analysis
shift
lists
formulations
expansion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Papandreou-Suppappola, A., Hlawatsch, F., & Boudreaux-Bartels, G. F. (1995). Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 2, pp. 1017-1020)

Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts. / Papandreou-Suppappola, Antonia; Hlawatsch, F.; Boudreaux-Bartels, G. F.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 2 1995. p. 1017-1020.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Papandreou-Suppappola, A, Hlawatsch, F & Boudreaux-Bartels, GF 1995, Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 2, pp. 1017-1020, Proceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5), Detroit, MI, USA, 5/9/95.
Papandreou-Suppappola A, Hlawatsch F, Boudreaux-Bartels GF. Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 2. 1995. p. 1017-1020
Papandreou-Suppappola, Antonia ; Hlawatsch, F. ; Boudreaux-Bartels, G. F. / Unified framework for the scale covariant affine, hyperbolic, and power class quadratic time-frequency representations using generalized time shifts. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 2 1995. pp. 1017-1020
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