Pseudo affine wigner distributions: definition and kernel formulation

Paulo Gonçalvès; Richard G. Baraniuk

doi:10.1109/78.678464

Pseudo affine wigner distributions: definition and kernel formulation

Paulo Gonçalvès, Richard G. Baraniuk

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

63 Scopus citations

Abstract

In this paper, we introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand, these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSD's), we introduce and study an alternative set of generators for this class.

Original language	English (US)
Pages (from-to)	1505-1516
Number of pages	12
Journal	IEEE Transactions on Signal Processing
Volume	46
Issue number	6
DOIs	https://doi.org/10.1109/78.678464
State	Published - 1998

Keywords

Affine wigner distributions
Time-frequency analysis
Wavelets

ASJC Scopus subject areas

Electrical and Electronic Engineering
Signal Processing

Access to Document

10.1109/78.678464

Cite this

@article{8f864ef912f746909199cb362124aa7f,

title = "Pseudo affine wigner distributions: definition and kernel formulation",

abstract = "In this paper, we introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand, these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSD's), we introduce and study an alternative set of generators for this class.",

keywords = "Affine wigner distributions, Time-frequency analysis, Wavelets",

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

note = "Funding Information: Manuscript received May 4, 1996; revised June 18, 1997. 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. Nurgun Erdol.",

year = "1998",

doi = "10.1109/78.678464",

language = "English (US)",

volume = "46",

pages = "1505--1516",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

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

number = "6",

}

TY - JOUR

T1 - Pseudo affine wigner distributions

T2 - definition and kernel formulation

AU - Gonçalvès, Paulo

AU - Baraniuk, Richard G.

N1 - Funding Information: Manuscript received May 4, 1996; revised June 18, 1997. 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. Nurgun Erdol.

PY - 1998

Y1 - 1998

N2 - In this paper, we introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand, these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSD's), we introduce and study an alternative set of generators for this class.

AB - In this paper, we introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand, these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSD's), we introduce and study an alternative set of generators for this class.

KW - Affine wigner distributions

KW - Time-frequency analysis

KW - Wavelets

UR - http://www.scopus.com/inward/record.url?scp=0032095255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032095255&partnerID=8YFLogxK

U2 - 10.1109/78.678464

DO - 10.1109/78.678464

M3 - Article

AN - SCOPUS:0032095255

VL - 46

SP - 1505

EP - 1516

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 6

ER -

Pseudo affine wigner distributions: definition and kernel formulation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this