A construction of inter-group complementary codes with flexible ZCZ length  

作　　者：Li-fang FENG Xian-wei ZHOU Ping-zhi FAN 

机构地区：[1]School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China [2]Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu 610031, China

出　　处：《Journal of Zhejiang University-Science C(Computers and Electronics)》2011年第10期846-854,共9页浙江大学学报C辑（计算机与电子（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 61001110,60773074,and 60903004);the China Post-doctoral Science Foundation (No. 20100470204);the Beijing Municipal Natural Science Foundation (No. 4082020);the National High-Tech R & D Program of China (Nos. 2007AA01Z213 and 2009AA01Z209)

摘　　要：A general construction of inter-group complementary (IGC) codes is proposed based on perfect complementary (PC) codes,interleaving operation,and the orthogonal matrix.The correlation properties of the newly constructed IGC codes can be described as follows:(1) the autocorrelation sidelobes of the codes are zeros in the zero correlation zone (ZCZ);(2) the cross-correlation functions (CCFs) between any two different codes of the same group are zeros in the ZCZ;(3) the CCFs between any two codes of different groups are zeros everywhere.The key point of this construction is that the ZCZ length of the generated IGC codes can be chosen flexibly.It is well known that there is a limitation between the ZCZ length and the number of mates;that is,the smaller is the length of ZCZ,the more are the IGC codes that can be generated.Therefore,if we can choose the ZCZ length of the IGC codes flexibly according to the requirement of the system,more users can be accommodated in the system.A general construction of inter-group complementary （IGC） codes is proposed based on perfect complementary （PC） codes, interleaving operation, and the orthogonal matrix. The correlation properties of the newly constructed IGC codes can be described as follows： （1） the autocorrelation sidelobes of the codes are zeros in the zero correlation zone （ZCZ）; （2） the cross-correlation functions （CCFs） between any two different codes of the same group are zeros in the ZCZ; （3） the CCFs between any two codes of different groups are zeros everywhere. The key point of this construction is that the ZCZ length of the generated IGC codes can be chosen flexibly. It is well known that there is a limitation between the ZCZ length and the number of mates; that is, the smaller is the length of ZCZ, the more are the IGC codes that can be generated. Therefore, if we can choose the ZCZ length of the IGC codes flexibly according to the requirement of the system, more users can be accommodated in the system.

关 键 词：Z-complementary codes Perfect complementary codes Zero correlation zone 

分 类 号：TP368.1[自动化与计算机技术—计算机系统结构] TU-80[自动化与计算机技术—计算机科学与技术]