Optimum Noncoherent Reception in Channels with Fluctuation and Concentrated Noise

The author obtains and analyzes the decision rules for one-shot noncoherent reception in discrete-information transmission systems; the rules are optimum under the action of fluctuation noise and concentrated interference which can be approximated by the interfering-signal model. Primary attention is given to the case of Rayleigh fading of signal and noise. Expressions are obtained for the error probability, and the noise stability of such systems is compared with that of a system which is optimum for a channel with only normal fluctuation noise.