Near Optimum and Highly Efficient Decision-Feedback Receivers for Direct Sequence Ultra-Wideband Radio

Abstract

This paper investigates three decisionfeedback receivers for Direct-Sequence Ultra-Wideband Radio (DS-UWB) based on two-channel BPSK modulation with ternary spreading code. A compact and insightful vector-matrix signal model is built up for receiver design under UWB channel dispersion over many consecutive symbols. First, we consider the design of a RAKE with Decision Feedback (RAKE-DF) receiver. Using the Gaussian approximation technique, we derive its analytic performance under no error propagation. It is shown that the RAKE-DF receiver suffers from a significant error floor due to the uncancelled pre-cursor ISI (or pre-ISI abbreviated). Next, we design the MMSE-DF receiver to achieve a better performance by suppressing the pre-ISI, too. However, the MMSE receiver requires costly matrix inversion. Then a new receiver is investigated as the third one, which is called the RAKE with Bi-Directional Decision Feedback (RAKE-BDDF) receiver, for efficiently canceling both the post-(cursor) ISI and pre-ISI at symbol rate. It cannot only attain the matched filter bound approximately, but also maintain a similar complexity as that of the RAKE-DF receiver. Simulation and semi-analytic BER curves are included for performance comparison of the three receivers in the presence of the CM2 and CM4 UWB channels.