Convexity properties in binary detection problems

Author

Azizoglu, Murat

Author_Institution

Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA

Volume

42

Issue

4

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1316

Lastpage

1321

Abstract

The author investigates the convexity properties of error probability in the detection of binary-valued scalar signals corrupted by additive noise. It is shown that the error probability of the maximum-likelihood receiver is a convex function of the signal power when the noise has a unimodal distribution. Based on this property, the results of the optimal time-sharing strategies of transmitters and jammers, and of the optimal use of multiple channels are obtained

Keywords

Gaussian noise; digital radio; error statistics; jamming; maximum likelihood detection; probability; radio receivers; radio transmitters; white noise; additive noise Gaussian noise; binary detection problems; binary valued scalar signals; convex function; convexity properties; digital signal detection; error probability; jammers; maximum-likelihood receiver; multiple channels; optimal time-sharing strategies; signal power; transmitters; unimodal distribution; Additive noise; Error probability; Intersymbol interference; Jamming; Maximum likelihood detection; Nonlinear filters; Signal detection; Signal processing; Time sharing computer systems; Transmitters;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.508867

Filename

508867