Positive time-frequency distributions based on joint marginal constraints

Author

Fonollosa, Javier Rodríguez

Author_Institution

Dept. of Signal Theory & Commun., Univ. Politecnica de Catalunya, Barcelona, Spain

Volume

44

Issue

8

fYear

1996

fDate

8/1/1996 12:00:00 AM

Firstpage

2086

Lastpage

2091

Abstract

The authors study the formulation of members of the Cohen-Posch (1985) class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. They conclude that, in general, the information provided by the classical marginal constraints is very limited, and thus, the final distribution heavily depends on the prior distribution. To overcome this limitation, joint time and frequency marginals are derived based on a “direction invariance” criterion on the time-frequency plane that are directly related to the fractional Fourier transform

Keywords

Fourier transforms; maximum entropy methods; minimisation; signal representation; spectral analysis; statistical analysis; time-frequency analysis; Cohen-Posch distributions; cross-entropy measures minimization; direction invariance criterion; fractional Fourier transform; frequency marginals; information theory; joint marginal constraints; maximum entropy; positive time-frequency energy distributions; spectrogram; time marginals; time-frequency plane; time-frequency representations; Australia; Constraint optimization; Entropy; Fourier transforms; Kernel; Signal analysis; Signal resolution; Spectrogram; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.533731

Filename

533731