Parsimonious representation of signals based on scattering transform

Michel Sorine; Qinghua Zhang; Taous Meriem Laleg; Emmanuelle Crépeau

doi:10.3182/20080706-5-KR-1001.2349

Parsimonious representation of signals based on scattering transform

Michel Sorine, Qinghua Zhang, Taous Meriem Laleg, Emmanuelle Crépeau

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

1 Scopus citations

Abstract

A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.

Original language	English (US)
Title of host publication	Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Volume	17
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.2349
State	Published - 2008
Externally published	Yes
Event	17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: Jul 6 2008 → Jul 11 2008

Other

Other	17th World Congress, International Federation of Automatic Control, IFAC
Country/Territory	Korea, Republic of
City	Seoul
Period	07/6/08 → 07/11/08

Keywords

Filtering and smoothing
Nonparametric methods

ASJC Scopus subject areas

Control and Systems Engineering

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10.3182/20080706-5-KR-1001.2349

Cite this

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title = "Parsimonious representation of signals based on scattering transform",

abstract = "A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schr{\"o}dinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.",

keywords = "Filtering and smoothing, Nonparametric methods",

author = "Michel Sorine and Qinghua Zhang and Laleg, {Taous Meriem} and Emmanuelle Cr{\'e}peau",

year = "2008",

doi = "10.3182/20080706-5-KR-1001.2349",

language = "English (US)",

isbn = "9783902661005",

volume = "17",

booktitle = "Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC",

edition = "1 PART 1",

note = "17th World Congress, International Federation of Automatic Control, IFAC ; Conference date: 06-07-2008 Through 11-07-2008",

}

Sorine, M, Zhang, Q, Laleg, TM & Crépeau, E 2008, Parsimonious representation of signals based on scattering transform. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 07/6/08. https://doi.org/10.3182/20080706-5-KR-1001.2349

TY - GEN

T1 - Parsimonious representation of signals based on scattering transform

AU - Sorine, Michel

AU - Zhang, Qinghua

AU - Laleg, Taous Meriem

AU - Crépeau, Emmanuelle

PY - 2008

Y1 - 2008

N2 - A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.

AB - A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.

KW - Filtering and smoothing

KW - Nonparametric methods

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U2 - 10.3182/20080706-5-KR-1001.2349

DO - 10.3182/20080706-5-KR-1001.2349

M3 - Conference contribution

AN - SCOPUS:79961020203

SN - 9783902661005

VL - 17

BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC

T2 - 17th World Congress, International Federation of Automatic Control, IFAC

Y2 - 6 July 2008 through 11 July 2008

ER -

Parsimonious representation of signals based on scattering transform

Abstract

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Keywords

ASJC Scopus subject areas

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