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Cramer-Rao Lower Bounds for the Synchronization of UWB Signals

Summary: 1
Cram´er-Rao Lower Bounds for the Synchronization
of UWB Signals
J. Zhang, R. A. Kennedy, T. D. Abhayapala
Abstract-- In this paper, we present Cram´er-Rao lower bounds
(CRLBs) for the synchronization of UWB signals which should
be tight lower bounds for the theoretical performance 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. An approximation method
of the CRLBs is discussed when nuisance parameters exist.
CRLBs in multipath channels are studied and formulated for
three scenarios depending on the way multipath interference is
treated. We find that larger number of multipath 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 synchronization error on the
performance of receivers is quantified.


Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University


Collections: Computer Technologies and Information Sciences