Non-Coherent Communication Over Ultra-Fast Fading Channels in the Presence of Barrage Jamming

We take a fresh look at the non-coherent communication scenario in which the coherence time of the channel spans one time slot. We show that, in agreement with established information-theoretic results, the symbol error rate (SER) achieved with scalar signalling constellations saturates beyond a rate-dependent signal-to-noise ratio. More interestingly, we show that the SER saturation value is monotonically decreasing with the number of receive antennas, establishing that practical efficient communication over this, traditionally unpopular, channel is possible. In addition to additive Gaussian noise, we assume that the received signal is also contaminated by an additive non-Gaussian jamming signal. The impact of such jamming is considered under various channel conditions and detection techniques, which include optimal maximum likelihood and detection based on Gaussian approximations. Analytical findings are supported by numerical simulations.