Optimal integration time for UWB transmitted reference correlation receivers

This paper derives the bit error probability (BEP) of the conventional and average correlation receivers of the ultrawideband transmitted reference system by exploiting the concept of the orthogonal expansion and the central limit theorem is not needed in the derivation. The effects of using different lengths of the integration tune in the conventional correlation receiver in a single user multipath environment are also discussed. Three optimization criteria are evaluated and the average BEPs adopted the optimal integration time based on these criteria do not differ significantly from each other. In the interested BEP range, about 2 dB can be gained by using the optimal integration time instead of the channel delay spread in the correlator.