The problem of coarse synchronization of Ultra Wideband signals in the dense multipath channel is addressed. When the classical correlation-based approach is used with this type of channel, a search strategy for the region of uncertainty of the random delay should be chosen. We consider a simplified situation, since our purpose is precisely the analysis of the possible search strategies. Comparison of a novel strategy based on the golden section and another efficient one shows that none of them is optimum from the point of view of the mean acquisition time. The golden section method, however, has a smaller complexity in the general case.
In a previous work the authors proposed a search strategy based on the golden section for coarse acquisition of Ultra Wideband (UWB) signals in the dense multipath channel. The proposed method achieved practically the minimum mean acquisition time under a simplistic model. In this paper those results are extended by showing that the golden section strategy is especially advantageous when the size of the uncertainty region is a term of the Fibonacci sequence, thus providing an alternative to the popular bit reversal search: the proposed strategy has also a very simple implementation and adds flexibility in the choice of design parameters. Simulations with a realistic channel model confirm that the proposed strategy is very appropriate for the acquisition of UWB signals.
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