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

A. Papandreou, F. Hlawatsch, G. F. Boudreaux-Bartels

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

6 Scopus citations

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 - 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

ASJC Scopus subject areas

  • Signal Processing

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