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The Trade-off between Processing Gains of an Impulse Radio UWB System in the Presence of Timing Jitter

2007/04/25 by Sinan Gezici, Andreas F. Molisch, Gezici, Sinan +5
Computer Science · Engineering · Mathematics · #Antenna Design and Analysis #FOS: Computer and information sciences #Information Theory (cs.IT) #Millimeter-Wave Propagation and Modeling #Ultra-Wideband Communications Technology #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.0704.3408

To appear in the IEEE Transactions on Communications

arxiv created 2007/04/25 · openalex publication_date 2007/04/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In time hopping impulse radio, Nf pulses of duration Tc are transmitted for each information symbol. This gives rise to two types of processing gain: (i) pulse combining gain, which is a factor Nf, and (ii) pulse spreading gain, which is Nc=Tf/Tc, where Tf is the mean interval between two subsequent pulses. This paper investigates the trade-off between these two types of processing gain in the presence of timing jitter. First, an additive white Gaussian noise (AWGN) channel is considered and approximate closed form expressions for bit error probability are derived for impulse radio systems with and without pulse-based polarity randomization. Both symbol-synchronous and chip-synchronous scenarios are considered. The effects of multiple-access interference and timing jitter on the selection of optimal system parameters are explained through theoretical analysis. Finally, a multipath scenario is considered and the trade-off between processing gains of a synchronous impulse radio system with pulse-based polarity randomization is analyzed. The effects of the timing jitter, multiple-access interference and inter-frame interference are investigated. Simulation studies support the theoretical results.

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