M-ary Laguerre detection.

In a communication system using optical devices, the receiver is modeled as a counter of electrons which are emitted from a photodetector when a modulated optical wave is incident on it. The synthesis of the optimal receiver processing and its resulting performance depend upon the statistics associated with this counting. In an M-ary system, the transmitter selects one of a set of M intensities for the optical process. Questions of error probability are investigated.