Receiver designs for UWB differential transmitted reference systems with multiple access interference

Most existing differential transmitted reference (DTR) receivers employ Gaussian approximation to multiple access interference (MAI). However, for a system with small number of active users, significant performance degradation is found for DTR receivers due to the impreciseness of Gaussian approximation on impulsive MAI. In this paper, we propose a new DTR receiver based on the generalized Gaussian (GG) distribution (named as GG-DTR receiver), which subsumes Gaussian distribution and Laplace distribution as special cases. A soft-limiting DTR (SL-DTR) receiver is also proposed, which is optimal when MAI is Laplace distributed. Simulation shows that GG distribution approximates MAI well. Numerical results are conducted to demonstrate the superior performance of both receivers over the existing DTR receiver when the number of active user is small, where GG-DTR receiver has the best error performance and SL-DTR receiver is slightly worse than GG-DTR one but requires less parametric information.