Hankel and Toeplitz kernels for time-varying spectrum estimation

Author

Friedlander, Benjamin ; Scharf, Louis L.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA

fYear

1998

fDate

14-16 Sep 1998

Firstpage

340

Lastpage

343

Abstract

Some quadratic time-frequency representations (TFRs) may be called time-varying spectrum estimators. When the kernel of the TFR is factored as a diagonal-Toeplitz-diagonal operator then the TFR is a time-varying spectrogram that may be written any one of three ways: as a Fourier transform of a lag-windowed time-varying correlation sequence, as a spectrally-smoothed time-varying periodogram, or as a multiple-window spectrogram. If the kernel of the TFR is factored as a diagonal-Hankel-diagonal operator then the TFR is a generalized Wigner-Ville distribution

Keywords

Wigner distribution; parameter estimation; signal representation; spectral analysis; time-frequency analysis; time-varying systems; Fourier transform; Hankel kernels; Toeplitz kernels; diagonal-Hankel-diagonal operator; diagonal-Toeplitz-diagonal operator; generalized Wigner-Ville distribution; lag-windowed time-varying correlation sequence; multiple-window spectrogram; quadratic time-frequency representations; spectrally-smoothed time-varying periodogram; time-varying spectrogram; time-varying spectrum estimation; Delay; Equations; Frequency domain analysis; Frequency modulation; Kernel; Smoothing methods; Spectral analysis; Spectrogram; Time domain analysis; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Statistical Signal and Array Processing, 1998. Proceedings., Ninth IEEE SP Workshop on

Conference_Location

Portland, OR

Print_ISBN

0-7803-5010-3

Type

conf

DOI

10.1109/SSAP.1998.739404

Filename

739404