On the steady state in multiuser multiband IR-UWB without NBI detection

Impulse radio ultra-wideband (IR-UWB) communication is a strong candidate for short range wireless sensor networks (BWSN). One of the biggest challenges in IR-UWB is to suppress the performance degradation due to concurrent narrowband interferences (NBIs). There are two main possible ways of NBI suppression, namely, cancellation and avoidance. The former is difficult to be implemented since it makes receivers largely complicate (e.g., high speed sampling and RAKE receivers), and the latter requires accurate detection of NBI center frequency. In this paper we consider a multiuser multiband IR-UWB where no NBI detection mechanism is available due to complexity constraints of implanted biomedical sensors. In this situation, we are interested in finding a transmission scheduling policy that provides a stable state where no single sensor deviates from the scheduling. To this end, we model multiuser multiband IR-UWB as n-transmitter jammer game, and computes its Nash equilibrium that corresponds to the definition of the stable state. We observe that the steady state based on the Nash equilibrium provides a scheduling with the policy of letting all sensors access to all available subbands uniformly. We evaluate the scheduling scheme based on the steady state by comparing it with non-uniform random access scheduling.