Abstract
The structure of the optimum direct detection array receiver is obtained for a system consisting of an amplitude-stabilized optical source, a lognormal channel, and a bank of photocounting detectors. Additive independent background radiation and detector dark current are taken into account. Both orthogonal and nonorthogonal M-ary signaling formats are considered. Attention is given to detection intervals small in comparison with the correlation time of the atmospherically induced fluctuations. A saddle-point integration provides an excellent approximation to the optimum processor, resulting in a considerably simplified structure. Suboptimum aperture integration and maximum a posteriori (MAP) receivers are also considered. The performance of these receiver structures and their relative merits are presented in related papers (Parts 2 and 3).
© 1973 Optical Society of America
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