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A complete channel estimation, synchronization and equalization scheme for a transmitted-reference (TR) ultra-wideband (UWB) system is proposed in this paper. The scheme is based on a data model, which admits moderate data rate and takes all kinds of interference into consideration: between pulses, frames and symbols. Three channel estimators are derived to achieve joint channel and timing estimation, namely the linear minimum mean square error (LMMSE) estimator, the least squares (LS) estimator and the matched filter (MF). We check the performance of different combinations of channel estimation and equalization schemes, and find out the best combination, i.e. the one providing a good trade-off between complexity and performance. This paper proves that a TR-UWB can provide a good performance at a moderate data rate, meanwhile having a low cost digital implementation.