Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480346
