Pseudo affine Wigner distributions: definition and kernel formulation

Author

Gonçalvés, Paulo ; Baraniuk, Richard G.

Author_Institution

Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France

Volume

46

Issue

6

fYear

1998

fDate

6/1/1998 12:00:00 AM

Firstpage

1505

Lastpage

1516

Abstract

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 (1992), 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 (TSDs), we introduce and study an alternative set of generators for this class

Keywords

Wigner distribution; interference suppression; signal representation; spectral analysis; time-frequency analysis; affine Wigner distributions; computational cost; continuous wavelet transform; interference supression; kernel formulation; online operation; proportional bandwidth smoothing; pseudo affine Wigner distributions; sliding structure; spectral representations; time-frequency analysis; time-scale distributions; time-varying spectral analysis; Bandwidth; Computational efficiency; Continuous wavelet transforms; Frequency; Interference; Kernel; Signal analysis; Smoothing methods; Spectral analysis; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.678464

Filename

678464