Principal decomposition of time-frequency distributions

Author

Nawab, S. Hamid ; Beyerbach, Daniel M. ; Dorken, Erkan

Author_Institution

Dept. of Electr. Comput. & Syst. Eng., Boston Univ., MA, USA

Volume

41

Issue

11

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

3182

Lastpage

3186

Abstract

The authors present a novel time-frequency analysis technique which uses principal components analysis to map any given time-frequency distribution (TFD) of a signal into a set of three 1-D principal decomposition functions. These three functions may then be considered to be `separable´ components of a time-frequency function which they refer to as the principal approximation function for the original TFD. They show how principal decomposition analysis is useful for the enhancement and frequency-tracking of nonstationary harmonic signals

Keywords

signal processing; time-frequency analysis; frequency-tracking; nonstationary harmonic signals; principal approximation function; principal components analysis; principal decomposition functions; time-frequency analysis; time-frequency distributions; time-frequency function; Convergence; Frequency conversion; Harmonic analysis; Matrix decomposition; Maximum likelihood estimation; Radar imaging; Signal analysis; Signal synthesis; Speech synthesis; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.257251

Filename

257251