Accession Number : AD0786729

Title :   Operating Characteristics for Maximum Likelihood Detection of Signals in Gaussian Noise of Unknown Level. III. Random Signals of Unknown Level,

Corporate Author : NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CONN NEW LONDON LAB

Personal Author(s) : Nuttall,Albert H. ; Cable,Peter G.

Report Date : 31 JUL 1974

Pagination or Media Count : 64

Abstract : The detection and false alarm probabilities for maximum likelihood detection of two classes of random signals in stationary Gaussian noise, where the signal and noise levels are unknown, are derived. The two classes are Gaussian signals and deterministic signals of unknown phase with slow fading on each of M potential-signal branches. For the Gaussian signals and the deterministic signals with independent Rayleigh envelope fading on each of the M branches, the performances are identical, and extensive numerical results are presented. For more general signal fading, the detection probability is presented as a finite sum of hypergeometric functions that can be easily evaluated with computer aid; however, no numerical results are given for this more general situation. (Author)

Descriptors :   *Information theory, *Signal processing, *Statistical analysis, White noise, Sampling, Probability density functions, Curve fitting, Graphics, Hypergeometric functions, Signal to noise ratio

Subject Categories : Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE