低碰撞区跳频序列部分汉明相关特性及其应用研究

项目名称： 低碰撞区跳频序列部分汉明相关特性及其应用研究

项目编号： No.61271244

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 无线电电子学、电信技术

项目作者： 彭代渊

作者单位： 西南交通大学

项目金额： 65万元

中文摘要： 设计具有优异特性的跳频序列一直是跳频（时）扩频通信领域重要研究课题之一。有关跳频序列周期汉明相关函数的研究成果较多，而对跳频序列部分汉明相关函数的研究成果较少，因为后者的研究难度更大。对于实际应用，跳频序列的部分汉明相关特性直接影响跳频扩频通信系统性能。低碰撞区跳频序列是近年新出现的一个研究方向，现已引起国内外许多学者的重视。本课题对低碰撞区跳频序列的部分汉明相关特性及其应用进行研究，这是一个新课题。主要研究内容包括：(1)低碰撞区跳频序列部分汉明相关函数理论界；(2)多项式剩余类环上最优部分汉明相关的低碰撞区跳频序列设计；(3)基于有限域上分圆理论的最优部分汉明相关的低碰撞区跳频序列设计；(4)基于交织技术的具有最优部分汉明相关的低碰撞区跳频序列集设计；(5)利用有限域上的特殊函数构造最优部分汉明相关的低碰撞区跳频序列；(6)新型低碰撞区跳频序列在准同步跳频（时）扩频通信系统中的应用。

中文关键词： 低碰撞区；跳频序列；部分汉明相关；低碰撞区跳频序列；准同步跳频扩频通信

英文摘要： The design for frequency hopping sequences with good Hamming correlation properties is always one of the important research topics in frequency hopping/time hopping spread spectrum communications. There is a large amount of previous literature related with the period Hamming correlation function of frequency hopping sequences, while few research results are on the partial Hamming correlation function because of the difficulty. For practical applications, the partial Hamming correlation properties of frequency hopping sequences play a major role in the performance of frequency hopping spread spectrum communication system. Low hit zone frequency hopping sequences is a new research direction in recent years, which has attracted many attentions of the scholars in the world. In this project, we will study the partial Hamming correlation properties and the applications of frequency hopping sequences with low hit zone, which is a new topic. The research topics include: (1) the theoretic bound on the partial Hamming correlation of frequency hopping sequences with low hit zone; (2) the design for low hit zone frequency hopping sequences with optimal partial Hamming correlation over a polynomial residue class ring; (3) the design for low hit zone frequency hopping sequences with optimal partial Hamming correlation based o

英文关键词： Low hit zone；frequency hopping sequence；partial Hamming correlation;；low-hit-zone frequency hopping sequence；quasi-synchronous frequency hopping spread spectru