Hybrid linear/bilinear time-scale analysis

Martin Pasquier; Paulo Goncalves; Richard G. Baraniuk

Hybrid linear/bilinear time-scale analysis

Martin Pasquier, Paulo Goncalves, Richard G. Baraniuk

Houston Methodist

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

Abstract

We introduce a new method for the time-scale analysis of non-stationary signals. Our work leverages the success of the 'time-frequency distribution series / cross-term deleted representations' into the time-scale domain to match wide-band signals that are not well modeled in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective and leads us to insights into the cross-term deleted representations.

Original language	English
Title of host publication	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of Publication	Piscataway, NJ, United States
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	513-516
Number of pages	4
State	Published - Jan 1 1996
Event	Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Paris, Fr Duration: Jun 18 1996 → Jun 21 1996

Other

Other	Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
City	Paris, Fr
Period	6/18/96 → 6/21/96

ASJC Scopus subject areas

Engineering(all)

Cite this

Hybrid linear/bilinear time-scale analysis. / Pasquier, Martin; Goncalves, Paulo; Baraniuk, Richard G.
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Piscataway, NJ, United States: Institute of Electrical and Electronics Engineers Inc., 1996. p. 513-516.

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

Pasquier, M, Goncalves, P & Baraniuk, RG 1996, Hybrid linear/bilinear time-scale analysis. in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., Piscataway, NJ, United States, pp. 513-516, Proceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Paris, Fr, 6/18/96.

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M3 - Conference contribution

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

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ER -

Hybrid linear/bilinear time-scale analysis

Abstract

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ASJC Scopus subject areas

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