On the optimality of timing with dirty templates

Authors:
Wei Zang;Wenshu Zhang;Liuqing Yang
Affiliations:
Univ. of Florida, Gainesville, FL;Univ. of Florida, Gainesville, FL;Univ. of Florida, Gainesville, FL
Venue:
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Year:
2009

Citing 4
Cited 0

Fundamentals of statistical signal processing: estimation theory

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Timing with Dirty Templates for Low-Resolution Digital UWB Receivers

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Ranging in a dense multipath environment using an UWB radio link

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Abstract

Rapid and accurate timing synchronization is the first and foremost task in ultra-wideband (UWB) systems. The timing with dirty templates (TDT) algorithm introduced in [10] is a promising method with low complexity and relaxed operation conditions in the presence of unknown time hopping and multipath channel. Its optimality, however, remains unexplored. In this paper, we develop the maximum-likelihood (ML) timing algorithm and obtain its optimum training sequence. We show that the optimum training sequence of the ML timing estimator coincides with that of the TDT algorithm. In addition, we prove that, using this training sequence, the ML algorithm can be simplified, and that the simplified ML (SML) is equivalent to TDT.