Weighted correlation receivers for ultra-wideband transmitted reference systems

This work derives the average likelihood ratio test (ALRT) receiver for ultra-wideband transmitted reference systems in multipath environments with Rayleigh path strength models. A theoretical weighting function is obtained by approximating the ALRT receiver structure, and can be applied to correlation receivers. Compared to a simple correlation receiver, results show that theoretical weighted correlation receivers are more robust to different environments, and can reduce bit error probabilities even for IEEE 802.15.3a ultra-wideband channel models with lognormal path strength models.