Bounds and constructions of optimal optical orthogonal codes with low correlation zone

Bounds and constructions of optimal optical orthogonal codes with low correlation zone
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低相关区最优光正交码的界限和构造

DOI:
10.1007/s11432-018-9747-5
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发表时间:
2019-05
期刊:
Science in China Series F Information Sciences
影响因子:
--
通讯作者:
Xu Chengqian
Xu Chengqian
中科院分区:
其他
文献类型:
--
作者:
Xu Chengqian

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在光码分多址(CDMA)系统中,光正交码(OOC)应该表现出以下相关性以减少多址干扰:序列与其移位序列之间的非平凡相关性以及序列与其他序列的移位序列之间的相关性应该尽可能低[1,2]。这里,序列的移位值在整个序列周期中随机分布。在准同步CDMA系统中,系统的时延不是很大,一般只分布在小于序列周期的区域内。减少多址干扰的目的可以通过使用在接近零的区域中具有非常小的相关函数的地址码来实现。本文提出了具有低相关区的光正交码的概念,推导了具有低相关区的光正交码的序列长度、序列权重、序列集大小、序列相关性和LCZ长度的理论界,并给出了两种构造具有低相关区的光正交码的方法。
Dear editor, In optical code division multiple access (CDMA) systems, optical orthogonal codes (OOC) should exhibit the following correlations to reduce multiple access interference: the non-trivial correlation between a sequence and its shift sequence and the correlation between sequence and shift sequence of other sequences should be as low as possible [1, 2]. Herein, the shift values of a sequence are randomly distributed throughout the sequence period. In quasi-synchronous CDMA systems, the time delay of the system is not very large and is generally distributed only in areas smaller than the sequence period. The purpose of reducing multiple access interference can be achieved using an address code that has a very small correlation function in the zone near zero. Therefore, a two-dimensional optical orthogonal code with zero cross-correlation zone is introduced [3].In this study, the concept of optical orthogonal code with low correlation zone (LCZ) is proposed, the theoretical bounds on the code including sequence length, sequence weight, sequence set size, sequence correlation, and LCZ length are derived, and two methods of constructing OOCs with LCZ are given.
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