'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Abstract
Cataloged from PDF version of article.Optimal receiver design is studied for a communications
system in which both detector randomization and stochastic
signaling can be performed. First, it is proven that stochastic signaling
without detector randomization cannot achieve a smaller
average probability of error than detector randomization with
deterministic signaling for the same average power constraint
and noise statistics. Then, it is shown that the optimal receiver
design results in a randomization between at most two maximum
a-posteriori probability (MAP) detectors corresponding to two
deterministic signal vectors. Numerical examples are provided
to explain the results