迭代法构造零相关区互补序列集

doi:1000-436X(2011)08-0038-07

通信学报 ›› 2011, Vol. 32 ›› Issue (8): 38-44.doi: 1000-436X(2011)08-0038-07

迭代法构造零相关区互补序列集

李玉博,许成谦

燕山大学信息科学与工程学院，河北秦皇岛 066004

出版日期:2011-08-25 发布日期:2017-07-04
基金资助:
国家自然科学基金资助项目;国家自然科学基金资助项目;河北省自然科学基金资助项目

Zero-correlation zone complementary sets based on iteration

Yu-bo LI,Cheng-qian XU

College of Information Science ＆Engineering,Yanshan University,Qinhuangdao 066004,China

Online:2011-08-25 Published:2017-07-04
Supported by:
The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Natural Science Foundation of Hebei Province

摘要/Abstract

摘要：

提出2种利用正交矩阵和交织迭代法构造零相关区互补序列集的方法，得到的零相关区互补序列集可以达到理论界限。这种零相关区序列集在零相关区域具有理想的相关特性，同传统的互补序列集相比具有更多的序列数目。

关键词: 准同步CDMA系统, 零相关区互补序列集, 交织迭代法, 正交矩阵

Abstract:

Based on orthogonal matrices and interleaving iteration,two constructions of zero correlation zone complementary (Z-complementary) sets were presented.The Z-complementary sets proposed not only have ideal auto-correlation and cross-correlation in a zone,but also have larger set sizes with the conventional complementary sets.Moreover,their set sizes can achieve the theoretical bound.

Key words: QS-CDMA system, Z-complementary set, interleaving iteration, orthogonal matrices

李玉博,许成谦. 迭代法构造零相关区互补序列集[J]. 通信学报, 2011, 32(8): 38-44.

Yu-bo LI,Cheng-qian XU. Zero-correlation zone complementary sets based on iteration[J]. Journal on Communications, 2011, 32(8): 38-44.

图/表 2

表1

序列集参数的比较"

方法	Z互补序列数目	每个Z互补序列包含序列数目	序列长度	零相关区长度
文献[9]构造法1	UK	U	L	Z
文献[9]构造法2	2ⁿK	2ⁿ	2ⁿL	2ⁿZ
本文构造法1	n₀n₁	n₀	$n_{0}^{m} n_{1}$	$n_{0}^{m}$
本文构造法2	2^mn₀n₁	2^mn₀	2^mn₁	2^m

表1

表2

Z互补序列集数目与理论界"

方法	序列集参数	Z互补序列数目	Z互补序列数目理论界
文献[9]构造法1	(UK,U,L,Z)	UK	U? $⌊ \frac{L}{Z} ⌋$
文献[9]构造法2	(2ⁿK,2ⁿ,2ⁿL,2ⁿZ)	2ⁿK	2ⁿ? $⌊ \frac{L}{Z} ⌋$ ??? ?
本文构造法1	(n₀n₁,n₀, $n_{0}^{m}$ n₁, $n_{0}^{m}$ )	n₀n₁	n₀n₁
本文构造法2	(2^mn₀n₁,2^mn₀,2^mn₁ ,2^m)	2^mn₀n₁	2^mn₀n₁

表2

参考文献 11

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[8]	FENG L F , FAN P Z , TANG X H . Generalized pairwise Z-complementary codes[J]. IEEE Signal Processing Letters, 2008,15(1): 377-380.
[9]	ZHANG Z Y , CHEN W , ZENG F X . Z-complementary sets based on sequences with periodic and aperiodic zero correlation zone[J]. EURASIP Journal on Wireless Communications and Networking, 2009,2009(3): 1-8.
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迭代法构造零相关区互补序列集

Zero-correlation zone complementary sets based on iteration

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