Abstract
The noise associated with a number of communications receivers contains a significant multiplicative element. While it is well known that minimum bit error rate occurs for matched filter reception of signals corrupted by additive white gaussian noise (AWGN), the application of the matched filter algorithm developed for signals corrupted by AWGN to signals corrupted by multiplicative-noise is far from optimal. In this paper a new algorithm is developed which weights the two halves of a multiplicative-noise corrupted Manchester-encoded signal based on the statistics of the two halves. In cases where the multiplicative noise dominates the additive noise, a situation which can arise in many optical communications receivers, the difference in performance of the new algorithm to a matched filter algorithm can be quite dramatic. In simulations conducted, a typical APD receiver circuit with internal gain of 200 produced a Bit Error Rate better than 10<SUP>-6</SUP> compared to the matched filter performance of only about 10<SUP>-2</SUP>. Potential optical communications applications include receivers based on avalanche photodiodes, photomultiplier tubes, and optically amplified receivers.
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