Quadratic time-frequency distributions: The new hyperbolic class and its intersection with the affine class

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

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

8 Scopus citations

Abstract

The proposed new class of quadratic time-frequency distributions is based on the 'hyperbolic time shift' and scale invariance properties that are important in the analysis of Doppler invariant signals used in bat and dolphin echolocation, and of 'locally self-similar' signals used in fractals and fractional Brownian motion. The hyperbolic class can be characterized by 2-D kernels, and kernel constraints are derived for some desirable TFD properties. The Bertrand distribution and the Altes distribution are members of the hyperbolic class. The authors define a 'localized' subclass and study the intersection between the affine class and the hyperbolic class.

Original languageEnglish (US)
Title of host publication1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages26-29
Number of pages4
ISBN (Electronic)0780305086, 9780780305083
DOIs
StatePublished - 1992
Event6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Victoria, Canada
Duration: Oct 7 1992Oct 9 1992

Publication series

Name1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings

Conference

Conference6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992
CountryCanada
CityVictoria
Period10/7/9210/9/92

ASJC Scopus subject areas

  • Signal Processing
  • Statistics and Probability

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    Papandreou, A., Hlawatsch, F., & Boudreaux-Bartels, G. F. (1992). Quadratic time-frequency distributions: The new hyperbolic class and its intersection with the affine class. In 1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings (pp. 26-29). [246840] (1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SSAP.1992.246840