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

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

doi:10.1109/SSAP.1992.246840

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 proceeding › Conference 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 language	English (US)
Title of host publication	1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	26-29
Number of pages	4
ISBN (Electronic)	0780305086, 9780780305083
DOIs	https://doi.org/10.1109/SSAP.1992.246840
State	Published - 1992
Externally published	Yes
Event	6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Victoria, Canada Duration: Oct 7 1992 → Oct 9 1992

Publication series

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

Conference

Conference	6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992
Country/Territory	Canada
City	Victoria
Period	10/7/92 → 10/9/92

ASJC Scopus subject areas

Signal Processing
Statistics and Probability

Access to Document

10.1109/SSAP.1992.246840

Cite this

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). Article 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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Papandreou, A, Hlawatsch, F & Boudreaux-Bartels, GF 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., 246840, 1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 26-29, 6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992, Victoria, Canada, 10/7/92. https://doi.org/10.1109/SSAP.1992.246840

Papandreou A, Hlawatsch F, Boudreaux-Bartels GF. 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. Institute of Electrical and Electronics Engineers Inc. 1992. p. 26-29. 246840. (1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings). doi: 10.1109/SSAP.1992.246840

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

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AB - 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.

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

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