Capacity-maximizing resource allocation for data-aided timing and channel estimation in ultra-wideband radios

The overall system performance of data-aided ultra-wideband (UWB) communications relies critically on the accuracy of synchronization and channel estimation during the training phase. The total transmission resources should be properly allocated between training and information symbols in order to strike a desired balance between performance and information rate. To this end, this paper derives optimum transmission schemes that judiciously allocate the limited transmit power and pulse numbers for signal reception tasks performing optimal timing acquisition, channel estimation, as well as symbol detection. The resulting selection of transmitter parameters not only enables both the timing and channel estimators to attain the minimum mean-square estimation errors, but also maximizes the average system capacity.