Ultrawide bandwidth RAKE reception in the presence of narrowband interference

In this work we derive a closed-form expression for the bit error probability (BEP) of time hopping (TH) ultrawide bandwidth (UWB) systems with RAKE reception in the presence of narrowband interference. We approximate the narrowband interference as a tone interferer and analyze the performance in a realistic scenario where each path is Nakagami-m distributed with arbitrary parameter m for each path. Our approach is based on perturbation theory. Simulation results for narrowband interference such as GSM and Bluetooth are in good agreement with our analytical results based on a tone interferer. It is shown that our analytical results are useful in investigating the coexistence of TH UWB systems with existing wireless systems.