Some results on the asymptotic relative efficiency of a random-threshold decision rule

Author

Morris, Joel M. ; Li, Xiaojun

Author_Institution

Dept. of Electr. Eng., Maryland Univ., Baltimore, MD, USA

Volume

39

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

246

Lastpage

249

Abstract

The random-threshold decision rule, which is an equalizer-rule in terms of probability-of-error for symmetrically distributed bounded-amplitude nonstationary noise, is compared with the sign detector and linear detector for bounded-amplitude noise via asymptotic relative efficiency (ARE). Explicit ARE expressions are derived for these detectors. The result shows that the random-threshold decision rule can be as effective as, or better than the sign detector and as effective as the linear detector, in terms of ARE, for some bounded-amplitude noise cases

Keywords

decision theory; information theory; signal detection; asymptotic relative efficiency; equalizer-rule; error probability; linear detector; random-threshold decision rule; sign detector; signal detection; symmetrically distributed bounded-amplitude nonstationary noise; Additive noise; Communication system control; Detectors; Equalizers; Estimation theory; Minimax techniques; Noise level; Noise robustness; Signal processing; System identification;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.179367

Filename

179367