Extended version of Van Trees´s receiver operating characteristic approximation

Author

Shapiro, Jeffrey H.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA

Volume

35

Issue

2

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

709

Lastpage

716

Abstract

Approximate expressions are developed for the receiver operating characteristics (ROCs) of two binary detectors, one based on random-vector observations, the other seeking continuous-time Gaussian signals in white Gaussian noise. The approach used is to extend Van Trees´s good-performance-regime results (P_F⩽0.5, P_D⩾0.5) to a much larger ROC range. The accuracy of these approximations is illustrated via an example from the stationary-processes-long-observation-time (SPLOT) regime

Keywords

Gaussian noise; approximation theory; covariance analysis; eigenvalues and eigenfunctions; signal detection; sonar detection; white noise; Van Trees´s approximation; binary detectors; continuous-time Gaussian signals; covariance functions; eigenvalue structure; extended version; good-performance-regime results; passive sonar; random-vector observations; receiver operating characteristic; stationary-processes-long-observation-time regime; weak signal detectors; white Gaussian noise; Aerospace testing; Convergence; Detectors; Gaussian approximation; Gaussian noise; Light rail systems; Signal detection; Sonar detection; Statistics; Tail;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.766950

Filename

766950