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Summary: Cram´er-Rao Lower Bounds for the Time Delay
Estimation of UWB Signals
J. Zhang, R. A. Kennedy, T. D. Abhayapala
Department of Telecommunications Engineering, RSISE
The Australian National University, Canberra ACT 0200, Australia
Email: jian@syseng.anu.edu.au
Abstract-- In this paper, we present the Cram´er-Rao lower
bounds (CRLBs) for the time delay estimation of UWB signals
which could be tight lower bounds for the theoretical perfor-
mance limits of UWB synchronizers. The CRLBs are investigated
for both single pulse systems and time hopping systems in
AWGN and multipath channels. Insights are given into the
relationship between CRLBs for different Gaussian monocycles.
It is found that larger number of multipath signals implies higher
CRLBs and inferior performance of synchronizers, and multipath
interference on CRLBs can not be eliminated completely except
in very special cases. As every estimate of time delay could not
be perfect, the least influence of the synchronization error on the
performance of receivers is quantified.
I. INTRODUCTION
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