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arXiv · 1006.5762

Construction and Applications of CRT Sequences

Kenneth W. Shum·Wing Shing Wong
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Abstract

Protocol sequences are used for channel access in the collision channel without feedback. Each user accesses the channel according to a deterministic zero-one pattern, called the protocol sequence. In order to minimize fluctuation of throughput due to delay offsets, we want to construct protocol sequences whose pairwise Hamming cross-correlation is as close to a constant as possible. In this paper, we present a construction of protocol sequences which is based on the bijective mapping between one-dimensional sequence and two-dimensional array by the Chinese Remainder Theorem (CRT). In the application to the collision channel without feedback, a worst-case lower bound on system throughput is derived.

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Kenneth W. Shum, Wing Shing Wong. 2010-11-09. Construction and Applications of CRT Sequences. https://doi.org/10.1109/tit.2010.2070550

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