In this paper, the techniques of statistical decision theory are appli
ed to direct detection of optical pulses. A realistic and general mode
l of a classical photodetector/amplifier receiver is considered. Optim
um decision strategies and corresponding receiver sensitivities are de
rived both for single-pulse detection and for continuous digital commu
nication in which the intersymbol interference is constrained to be ze
ro. A comparison is made to the classic work of Personick and Smith. T
heir results are shown to be remarkably close to the fundamental limit
s at high bit rates, At low bit rates, the optimal filter for small du
ty-cycle pulses gives much better performance than the filters analyze
d by Personick and Smith. Optimum values for the Personick integrals a
re also given, Results are given for a number of cases of practical im
portance including a photodiode/FET receiver.