二维相关跳频序列偶唯一性和理论界

doi:10.13190/j.jbupt.2017-097

北京邮电大学学报 ›› 2018, Vol. 41 ›› Issue (1): 31-36.doi: 10.13190/j.jbupt.2017-097

二维相关跳频序列偶唯一性和理论界

许成谦, 赵雅洁

1. 燕山大学信息科学与工程学院, 秦皇岛 066004;
2. 燕山大学河北省信息传输与信号处理重点实验室, 秦皇岛 066004

收稿日期:2017-04-20 出版日期:2018-02-28 发布日期:2018-01-04
作者简介:许成谦(1961-),男,教授,博士生导师,E-mail:cqxu@ysu.edu.cn.
基金资助:
国家自然科学基金项目（61671402）；河北省自然科学基金项目（F2015203150）

Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair

XU Cheng-qian, ZHAO Ya-jie

1. School of Information Science and Engineering, Yanshan University, Hebei Qinhuangdao 066004, China;
2. Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University, Hebei Qinhuangdao 066004, China

Received:2017-04-20 Online:2018-02-28 Published:2018-01-04

摘要/Abstract

摘要： 针对传统跳频序列偶只包含时延变量的一维汉明相关函数的问题，在相关函数中加入频移因素，提出了跳频序列偶的时频二维移位汉明相关函数的概念.证明了二维相关跳频序列偶的唯一性，保证了这类信号在实际应用中的唯一接收.导出了由二维相关跳频序列偶的汉明相关函数、序列偶个数、频隙个数和序列长度构成的理论界，对于构造满足理论界的二维相关跳频序列偶具有重要意义.

关键词: 跳频序列偶, 二维汉明相关函数, 唯一性, 理论界

Abstract: In view of the traditional frequency hopping sequence pair containing only one-dimensional Hamming correlation function of time-delayed variables, frequency shift factors are added to correlation function,and the concept of time-frequency two-dimensional correlation function of frequency hopping sequence pair is proposed. The uniqueness of frequency hopping sequence pair is proved, and the only reception of this kind of signal is guaranteed in the practical application. The theory bounds formed by two-dimensional Hamming correlation values, the number of frequency hopping sequence pair, the number of frequency gap and sequence length are derived. It is of great significance to construct the two-dimensional correlation frequency hopping sequence pair which can satisfy the theory bounds.

Key words: frequency hopping sequence pair, two-dimensional Hamming correlation function, uniqueness, theoretical bound

中图分类号:

TN911.22

许成谦, 赵雅洁. 二维相关跳频序列偶唯一性和理论界[J]. 北京邮电大学学报, 2018, 41(1): 31-36.

XU Cheng-qian, ZHAO Ya-jie. Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2018, 41(1): 31-36.

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二维相关跳频序列偶唯一性和理论界

Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair

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