Construction and Applications of CRT Sequences

Details Construction and Applications of CRT Sequences Construction and Applications of CRT Sequences

2010-06-30

arxiv.org/abs/1006.5762v3

IEEE Trans. on Information Theory, vol. 56, no. 11, p.5780-5795, Nov, 2010

Computer Science

Information Theory

16 pages, 5 figures. Some typos in Section V are corrected

Scientific paper

10.1109/TIT.2010.2070550

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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