Superposition coding in an adversarial environment

In this paper we will consider a jamming environment in a game theoretic framework. This framework includes a transmitting node, a receiving node and a jammer. The jammer is assumed to be a Gaussian jammer with a flat PSD. We will consider two transmitting scenarios; a scenario when the transmitter has two strategies for transmission; a low rate code which can be received at the receiving node regardless of jammer status and a high rate code that can only be received when the jammer is inactive. In the second scenario, the transmitter uses superposition coding to superimpose the high rate code over the low rate code. Similar to the first case, we have assumed that the lower rate code can always be retrieved at the receiving node but the superimposed high rate code can only be recovered when the jammer is inactive. In both scenarios, we have assumed a packet based transmission in which transmitter and jammer have fixed power constraints. Our analytic results and computer simulations show that superposition coding can achieve better results compared to the first scenario.