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

Li-fang FENG; Xian-wei ZHOU; Ping-zhi FAN

doi:10.1631/jzus.C1000360

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

Electronic Engineering | Updated：2022-08-31

- A construction of inter-group complementary codes with flexible ZCZ length
- A construction of inter-group complementary codes with flexible ZCZ length
- Frontiers of Information Technology & Electronic Engineering Vol. 12, Issue 10, Pages: 846-854(2011)
- Affiliations：
  
  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
- Author bio：
  
  E-mail:lifang.feng@gmail.com
- Funds：
- DOI：10.1631/jzus.C1000360
  CLC：
- Received：15 October 2010，
  
  Revised：2011-07-29，
  
  Accepted：16 December 2010，
  
  Published：2011-10
- Accepted：
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Li-fang FENG, Xian-wei ZHOU, Ping-zhi FAN. A construction of inter-group complementary codes with flexible ZCZ length[J]. Frontiers of Information Technology & Electronic Engineering, 2011, 12(10): 846-854.
DOI：

Li-fang FENG, Xian-wei ZHOU, Ping-zhi FAN. A construction of inter-group complementary codes with flexible ZCZ length[J]. Frontiers of Information Technology & Electronic Engineering, 2011, 12(10): 846-854. DOI： 10.1631/jzus.C1000360.

摘要

Abstract

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.

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