Comments on "On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels"

In a decentralized detection problem where N sensors make observations (the laws of which depend on the realized hypothesis) and communicate one of a finite and prespecified set of messages to a fusion center, optimal sensor decision rules have polyhedral decision regions in the space of likelihood vectors for a large class of Bayesian costs. We point out in this comment that this result can be easily derived from earlier results, even in the case when the communication from the sensors to the fusion center is over (parallel, independent) noisy channels