An upper bound on the error probability of a communication system with nonparametric detection

In what follows a channel model that describes a class of communication systems employing a certain nonparametric receiver is considered. In particular a block coded transmission via the channel under consideration and soft-input mismatched decoding are considered. The paper deals with a problem of finding an upper bound on the probability of erroneous decoding. In order to obtain the bound in question a second version of the Duman-Salehi bound is applied. For the system under consideration a closed form for the normalized tilting measure minimizing the bound under consideration is obtained.