Statistical analysis of transmitted-reference UWB systems on multipath channels

This paper combines the modeling of transmitted-reference (TR) systems with autocorrelation receivers as Volterra equivalent system models, and the statistical characterization of the inter-pulse-interference due to multipath propagation. We obtain the statistics of the Volterra model coefficients as a function of system and channel parameters. In its generic form, the analysis can be used for numerical performance evaluations of TR systems. It is also expected to be useful for the optimization of signal processing tasks in TR receivers, where such statistical knowledge can be exploited. Examples are Volterra channel estimation or synchronization. Specializing the analysis to the elementary dual-pulse TR scheme, closed-form expressions are obtained for various performance metrics, which directly indicate the trade-off between different system choices.