CONSTRUCTION OF OPTIMAL LOW-HIT-ZONE FREQUENCY HOPPING SEQUENCE SETS UNDER PERIODIC PARTIAL HAMMING CORRELATION

被引：9

作者：

Zhou, Limengnan ^{[1
]}

Peng, Daiyuan ^{[1
]}

Han, Hongyu ^{[1
]}

Liang, Hongbin ^{[2
]}

Ma, Zheng ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Inst Mobile Commun, Prov Key Lab Informat Coding & Transmiss, Chengdu 610031, Sichuan, Peoples R China

[2] Southwest Jiaotong Univ, Sch Transportat & Logist, Chengdu 610031, Sichuan, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2018年 / 12卷 / 01期

基金：

美国国家科学基金会; 国家高技术研究发展计划(863计划);

关键词：

Frequency hopping sequence set; low hit zone; periodic partial Hamming correlation; lower bound; Cartesian product; LOWER BOUNDS;

D O I：

10.3934/amc.2018004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In practice, when a frequency-hopping sequence (FHS) set is applied in a frequency-hopping multiple-access (FHMA) system, its periodic partial Hamming correlation (PPHC) rather than its periodic Hamming correlation (PHC) within the whole period is used to evaluate the system performance. Moreover, FHS sets with low hit zone (LHZ) can be well applied in quasi synchronous (QS) FHMA systems in which some relative time delay among different users within a zone around the origin can be allowed. Therefore, it is very urgent to conduct research on LHZ FHS sets with optimal PPHC property in depth. In this paper, we first derive a new tighter lower bound on the maximum PPHC of an LHZ FHS set. Then we present a new class of optimal one-coincidence FHS sets. Finally we have a construction of LHZ FHS sets which can be optimal with respect to our new lower bound.

引用

页码：67 / 79

页数：13

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