Distributions for Two Cross-Correlation Detector Statistics.

摘要

Theoretical probability distributions for two detector statistics are derived and used to develop performance comparisons. Statistic A is a sum of terms representing cross-correlations between a reference channel and two auxiliary channels independent of the reference and of each other except for a common sinusoidal signal component. Statistic B is a version of statistic A normalized by the envelope of the reference channel. Which of these statistics yields the better detector is shown to depend upon the ratio of noise power received on the auxiliary channels to that on the reference: when this ratio is less than 0.25, the normalized statistic is to be preferred. Computational procedures are fully disclosed. (Author)