Title :
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
fDate :
4/1/1994 12:00:00 AM
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;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
