Quadralinear time-frequency representations

Author

O´Neill, Jeflrey C. ; Williams, William J.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1005

Abstract

In time-frequency analysis there are four bilinear domains commonly used: time-frequency, ambiguity, temporal auto-correlation, and spectral auto-correlation. This paper introduces four new domains that are quadralinear in the signal. These four domains are each a function of three of the four variables used in the bilinear domains. Properties of these quantities are developed and an application is given for the design of adaptive time-varying kernels

Keywords

adaptive signal processing; bilinear systems; correlation methods; signal representation; spectral analysis; time-frequency analysis; time-varying systems; adaptive time-varying kernels design; ambiguity domain; bilinear domains; quadralinear time-frequency representations; spectral auto-correlation; temporal auto-correlation domain; time-frequency analysis; time-frequency domain; Autocorrelation; Equations; Forward contracts; Fourier transforms; Frequency domain analysis; Kernel; Polynomials; Signal design; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.480346

Filename

480346