On analytical expressions for the distribution of the filtered output of square envelope receivers with signal and colored Gaussian noise input

Closed-form expressions for the moment generating function (MGF) of the fil tered output of square envelope receivers,vith signal and colored Gaussian noise input are derived. The informative signal is a binary sequence of rec tangular pulses. The considered Gaussian processes are the Wiener process, a Gaussian process with linear covariance (moving average), and the Ornstei n-Uhlenbeck process. The derived MGFs are then applied to the problem of fi nding the quantum limit for optically preamplified, direct detection receiv ers.