Coherent detection in Laplace noise

Author

Thompson, Michael W. ; Chang, Ho-shin

Author_Institution

Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA

Volume

30

Issue

2

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

452

Lastpage

461

Abstract

The discrete-time detection of a time-varying, additive signal in independent Laplace noise is considered. Previous efforts in this area have been restricted to the constant signal, and identically distributed noise case. Theoretical (closed form) expressions for the false alarm and detection probabilities are developed for both the Neyman-Pearson optimal detector and the classical matched filter detector. Comparisons between the two detectors are made which illustrate the effects of signal-to-noise power ratio and sample size for certain false alarm and detection probability constraints. In view of the fact that the optimal Laplace detector is not UMP, we also investigate the effect of signal amplitude mismatch

Keywords

filtering and prediction theory; matched filters; probability; random noise; signal detection; time-varying systems; Laplace noise; Neyman-Pearson optimal detector; closed form expressions; coherent detection; detection probabilities; detection probability constraints; discrete-time detection; false alarm; matched filter detector; optimal Laplace detector; sample size; signal amplitude mismatch; signal-to-noise power ratio; time-varying additive signal; Additive noise; Colored noise; Gas detectors; Low-frequency noise; Matched filters; Noise robustness; Performance analysis; Signal analysis; Signal sampling; Signal to noise ratio;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.272267

Filename

272267