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The Statistical Theory of Reception

The reception process is simply the construction of some statistic of the data followed by some test of the hypotheses ``there is a signal present in the data'' and ``there is no signal present in the data.'' When these hypotheses are considered to be exclusive, the reception process reduces to the comparison of the statistic with some pre-assigned threshold. Thus, there are two issues: first, what is the optimal statistic to construct, and second, how is the threshold to be determined.


Bruce Allen 2000-11-19