A New CDMA Sequence Family with Low Correlation

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A New CDMA Sequence Family with Low Correlation

更新时间：2025-07-16

- A New CDMA Sequence Family with Low Correlation
- Acta Electronica Sinica Vol. 38, Issue 7, Pages: 1525-1530(2010)
- 作者机构：
  
  1. 华东理工大学计算机科学与工程系,上海,200237
  2. 中国科学院研究生院信息安全国家重点实验室,北京,100049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918.1
- Published：2010
- 稿件说明：
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FONT face, Verdana, SUN Ni-gang, et al. A New CDMA Sequence Family with Low Correlation[J]. Acta Electronica Sinica, 2010, 38(7): 1525-1530.
DOI：

FONT face, Verdana, SUN Ni-gang, et al. A New CDMA Sequence Family with Low Correlation[J]. Acta Electronica Sinica, 2010, 38(7): 1525-1530. DOI：

摘要

FONT face=Verdana>本文利用环

上线性递归序列的最高坐标构造了一类序列数目众多的

元序列族，这里

为奇素数且整数l不小于2。对具体可用序列的条数进行了估计。同时利用Galois环上的指数和估计以及

的加法群上的谱分析对该序列族的相关性进行了详细分析

得到了其非同步自相关性及互相关性的估计。结果表明，所构造的序列具有极低的相关性，其相关性的模值具有与Welch下界相同的数量级，可以作为CDMA通信系统中的码序列。

Abstract

FONT face=Verdana>A new family of p-phase sequences with large family size is constructed

where p is an odd prime. The technique employed uses the highest coordinate of some linear recurrence sequences over the ring

for any integer l which is greater than or equal to 2. The size of the family is estimated. Based on Galois ring theory (the local Weil bound) and spectral analysis over the additive group of

we analyze the correlation properties of the sequences in detail and derive an estimate of the nontrivial autocorrelation and crosscorrelation of the sequences. The result shows that these sequences have low correlation

which makes it possible as code sequences in CDMA communication systems.

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