Hybrid linear/bilinear time-scale analysis

Martin Pasquier; Paulo Gonçalvès; Richard Baraniuk

doi:10.1109/78.738266

Hybrid linear/bilinear time-scale analysis

Martin Pasquier, Paulo Gonçalvès, Richard Baraniuk

Houston Methodist

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the time-frequency distribution series/cross-term deleted representations into the time-scale domain to match wideband signals that are better modeled in terms of time shifts and scale changes than 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 for cross-term deleted representations in general.

Original language	English (US)
Pages (from-to)	254-259
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	47
Issue number	1
DOIs	https://doi.org/10.1109/78.738266
State	Published - 1999

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.738266

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title = "Hybrid linear/bilinear time-scale analysis",

abstract = "We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the time-frequency distribution series/cross-term deleted representations into the time-scale domain to match wideband signals that are better modeled in terms of time shifts and scale changes than 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 for cross-term deleted representations in general.",

author = "Martin Pasquier and Paulo Gon{\c c}alv{\`e}s and Richard Baraniuk",

note = "Funding Information: Manuscript received August 6, 1996; revised June 23, 1998. This work was supported by the National Science Foundation under Grant MIP-9457438 and the Office of Naval Research under Grant N00014-95-1-0849. The associate editor coordinating the review of this paper and approving it for publication was Dr. Nugun Erdol. M. Pasquier is with the Soci{\'e}t{\'e} SEGIME—Groupe ALTRAN, Paris, France. P. Gonc¸alv{\`e}s is with INRIA Rocquencourt—Projet Fractales, Le Chesnay, France (e-mail: [email protected]) R. Baraniuk is with the Department of Electrical and Computer Engineering, Rice University, Houston, TX 77005 USA (e-mail: [email protected]). Publisher Item Identifier S 1053-587X(99)00159-2.",

year = "1999",

doi = "10.1109/78.738266",

language = "English (US)",

volume = "47",

pages = "254--259",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

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T1 - Hybrid linear/bilinear time-scale analysis

AU - Pasquier, Martin

AU - Gonçalvès, Paulo

AU - Baraniuk, Richard

N1 - Funding Information: Manuscript received August 6, 1996; revised June 23, 1998. This work was supported by the National Science Foundation under Grant MIP-9457438 and the Office of Naval Research under Grant N00014-95-1-0849. The associate editor coordinating the review of this paper and approving it for publication was Dr. Nugun Erdol. M. Pasquier is with the Société SEGIME—Groupe ALTRAN, Paris, France. P. Gonc¸alvès is with INRIA Rocquencourt—Projet Fractales, Le Chesnay, France (e-mail: [email protected]) R. Baraniuk is with the Department of Electrical and Computer Engineering, Rice University, Houston, TX 77005 USA (e-mail: [email protected]). Publisher Item Identifier S 1053-587X(99)00159-2.

PY - 1999

Y1 - 1999

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AB - We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the time-frequency distribution series/cross-term deleted representations into the time-scale domain to match wideband signals that are better modeled in terms of time shifts and scale changes than 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 for cross-term deleted representations in general.

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Hybrid linear/bilinear time-scale analysis

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