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To synchronize ultra-wideband (UWB) signals with pulse position modulation (PPM), we develop and test timing algorithms in both data-aided and nondata-aided modes based on a novel synchronization criterion that we term timing with dirty templates (TDT). Using symbol-rate integrate-and-dump operations, our TDT-based algorithms for PPM-UWB signals remain operational in practical UWB settings. In addition, our algorithms ensure rapid synchronization by collecting multipath energy. Moreover, for the data-aided mode, we design a simple training pattern which not only expedites the synchronization, but also enables timing in a (possibly ad hoc and asynchronous) multiuser environment. Simulations and comparisons are also performed to corroborate our theoretical analysis.