Title :
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
fDate :
4/1/1999 12:00:00 AM
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 (PF⩽0.5, PD ⩾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;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
