An Equivalent Linear Model for Marked and Filtered Doubly Stochastic Poisson Processes with Application to MMSE Linear Estimation for Synchronous m-ary Optical Data Signals

An equivalent linear model for minimum mean-squared error (MMSE) linear estimation of marked and filtered doubly stochastic Poisson processes is presented. The equivalence is employed to determine the structure of the MMSE noncausal steady-state linear receiver for synchronousm-ary optical data signals.