一个大的低相关性的初始序列家族

2009 Fourth International Workshop on Signal Design and its Applications in Communications Pub Date : 2009-12-04 DOI:10.1109/IWSDA.2009.5346417

Nigang Sun, Chang-lu Lin

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引用次数: 0

摘要

当l≥3时，利用环上广义Kerdock码的最高坐标构造了一大族p相最高坐标序列，其中p为奇素数。利用加性群上的局部Weil界和谱分析，我们得到了序列相关性的一个估计。结果表明，这些序列具有较低的非平凡自相关和互相关特性，可以作为码分多址(CDMA)通信系统的编码序列。

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A large family of prime-phase sequences with low correlation

A large family of p-phase highest coordinate sequences, where p is an odd prime, is constructed by using the highest coordinate of the generalized Kerdock codes over the ring ℤpl, for l ≥ 3. Utilizing the local Weil bound and spectral analysis over the additive group of ℤpl, we derive an estimate of the correlation of the sequences. And the result shows that these sequences have low nontrivial autocorrelation and crosscorrelation, which makes it possible as code sequences in CDMA communication systems.

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2009 Fourth International Workshop on Signal Design and its Applications in Communications

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