A unified framework for the Bertrand distribution and the Altes distribution: The new hyperbolic class of quadratic time-frequency distributions

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

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

6 Citations (Scopus)

Abstract

We study the Bertrand distribution which is a member of the affine class of time-frequency distributions (TFDs), and the Altes distribution which does not belong to any known class of TFDs. We show that both TFDs are closely related to a "hyperbolic time-frequency geometry." Based on this geometry, we define and study a new "hyperbolic class" of TFDs which contains both the Bertrand distribution and the Altes distribution. We show that the hyperbolic class can be derived from the well-known Cohen's class of TFDs by a frequency-warping procedure that potentially results in a constant-Q time-frequency analysis.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages27-30
Number of pages4
ISBN (Electronic)0780308050, 9780780308053
DOIs
StatePublished - Jan 1 1992
Externally publishedYes
Event1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Victoria, Canada
Duration: Oct 4 1992Oct 6 1992

Publication series

NameProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

Conference

Conference1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CountryCanada
CityVictoria
Period10/4/9210/6/92

Fingerprint

Geometry

ASJC Scopus subject areas

  • Signal Processing

Cite this

Papandreou-Suppappola, A., Hlawatsch, F., & Boudreaux-Bartels, G. F. (1992). A unified framework for the Bertrand distribution and the Altes distribution: The new hyperbolic class of quadratic time-frequency distributions. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (pp. 27-30). [274241] (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/TFTSA.1992.274241

A unified framework for the Bertrand distribution and the Altes distribution : The new hyperbolic class of quadratic time-frequency distributions. / Papandreou-Suppappola, Antonia; Hlawatsch, F.; Boudreaux-Bartels, G. F.

Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., 1992. p. 27-30 274241 (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis).

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

Papandreou-Suppappola, A, Hlawatsch, F & Boudreaux-Bartels, GF 1992, A unified framework for the Bertrand distribution and the Altes distribution: The new hyperbolic class of quadratic time-frequency distributions. in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis., 274241, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Institute of Electrical and Electronics Engineers Inc., pp. 27-30, 1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Victoria, Canada, 10/4/92. https://doi.org/10.1109/TFTSA.1992.274241
Papandreou-Suppappola A, Hlawatsch F, Boudreaux-Bartels GF. A unified framework for the Bertrand distribution and the Altes distribution: The new hyperbolic class of quadratic time-frequency distributions. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc. 1992. p. 27-30. 274241. (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis). https://doi.org/10.1109/TFTSA.1992.274241
Papandreou-Suppappola, Antonia ; Hlawatsch, F. ; Boudreaux-Bartels, G. F. / A unified framework for the Bertrand distribution and the Altes distribution : The new hyperbolic class of quadratic time-frequency distributions. Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 27-30 (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis).
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