Time-varying spectrum estimators for continuous-time signals

Author

Scharf, L.L. ; Friedlander, B. ; Mullis, C.T.

Author_Institution

Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA

Volume

4

fYear

1998

fDate

12-15 May 1998

Firstpage

2405

Abstract

Some quadratic time-frequency representations (TFRs) may be called time-varying spectrum estimators. They are derived from first principles, and they turn out to be time-varying multiwindow spectrum estimators. In special cases they are time-varying spectrograms that may be written as Fourier transforms of lag-windowed, time-varying correlation sequences or as spectrally smoothed time-varying periodograms. These are not ad-hoc variations on stationary ideas to accommodate time variation. Rather, they are the only variations one can obtain for time-varying spectrum analysis

Keywords

Fourier transforms; continuous time systems; correlation methods; sequences; signal representation; smoothing methods; spectral analysis; time-frequency analysis; time-varying systems; continuous-time signals; correlation sequences; lag-windowed Fourier transforms; quadratic time-frequency representations; spectrally smoothed periodograms; spectrum analysis; time-varying multiwindow spectrum estimators; time-varying spectrograms; Delay; Equations; Fourier transforms; Kernel; Terminology; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681635

Filename

681635