Performance Analysis and Optimization of -DTR IR-UWB Receivers Over Multipath Fading Channels With Tone Interference

In this paper, we analyze the performance of a particular class of Transmitted–Reference (TR) receivers for Impulse Radio (IR–) Ultra Wide Band (UWB) communication systems, which is called Chip–Time Differential Transmitted– Reference (Tc–DTR). The analysis aims at investigating the robustness of this receiver to single– and multi–tone Narrow–Band Interference (NBI), and at comparing its performance with other non–coherent receivers proposed in the literature. It is shown that the Tc–DTR scheme provides more degrees of freedom for performance optimization, and it is inherently more robust to NBI than other non–coherent receivers. More specifically, it is analytically proved that the performance improvement is due to the chip–time level differential encoding/decoding of the Direct Sequence (DS) code, and to an adequate design of DS code and average pulse repetition time. The analysis encompasses performance metrics that are useful for both data detection (i.e., Average Bit Error Probability, ABEP) and timing acquisition (i.e., False Alarm Probability, Pfa, and Detection Probability, Pd). Moving from the proposed semi–analytical framework, the optimal code design and system parameters are derived, and it is highlighted that the same optimization criterion can be applied to all performance metrics considered in this paper. Also, analytical frameworks and theoretical findings are substantiated via Monte Carlo simulations.