A General Construction of Inter-Group Complementary Codes Based on Z-Complementary Codes and Perfect Periodic Cross-Correlation Codes

A General Construction of Inter-Group Complementary Codes Based on Z-Complementary Codes and Perfect Periodic Cross-Correlation Codes
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基于Z补码和完美周期互相关码的群间补码的一般构造

DOI:
10.1007/s11277-012-0837-6
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发表时间:
2013-07
影响因子:
2.2
通讯作者:
Li, Xinyu
Li, Xinyu
中科院分区:
计算机科学4区
文献类型:
--
作者:
Feng, Lifang;Zhou, Xianwei;Li, Xinyu

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基于Z-互补码和完美周期互相关码,提出了一种新的群间互补码。新生成的IGC码的相关特性如下:(1)码的自相关旁瓣值在零相关区(ZCZ)内为零;(2)同一组内不同码之间的互相关值在ZCZ内为零;(3)不同组码之间的互相关值在整个周期内为零。与现有的IGC码相比,所生成的IGC码的ZCZ长度可以灵活地预先定义,并且利用Z-互补码和PPCC码的优点,使得分组数和每组中的码数具有更大的自由度。
In this paper, a new construction of inter-group complementary (IGC) codes is proposed based on Z-complementary codes and perfect periodic cross-correlation (PPCC) codes. The correlation properties of the new generated IGC codes are as follows: (1) the autocorrelation sidelobe values of the codes are zeros in the zero correlation zone (ZCZ), (2) the cross-correlation values between different codes in the same group are zeros in the ZCZ, (3) the cross-correlation values between codes of different groups are zeros during the whole period. Comparing to the existed IGC codes, the ZCZ length of the generated IGC codes can be predefined flexibly; the number of groups and the number of codes in each group have more freedom according to the advantages of Z-complementary codes and PPCC codes.
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