Operating characteristics for maximum likelihood detection of signals in Gaussian noise of unknown level. 3: Random signals of unknown level
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.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- July 1974
- Bibcode:
- 1974STIN...7514948N
- Keywords:
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- Maximum Likelihood Estimates;
- Random Noise;
- Signal Detection;
- Signal Processing;
- Curve Fitting;
- Probability Density Functions;
- Signal To Noise Ratios;
- Statistical Analysis;
- Communications and Radar