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.

- Maximum Likelihood Receiver
- A Receiver for a Known Signal
- A Receiver for a Signal of Unknown Phase
- Reception of a Signal with Unknown Arrival Time
- Reception of a Signal with Additional Unknown Parameters

Bruce Allen 2000-11-19