低碰撞区跳频序列在高动态无线通信网络中的应用研究

The performance of the frequency hopping communication system is determined by the property of the frequency hopping sequences largely. The design for frequency hopping sequences with good property is always one of the important research topics in the frequency hopping communication. The frequency slot number of the conventional frequency hopping communication system cannot be dynamically changed to access the high dynamic channel. The frequency hopping sequence with low hit zone is a research direction emerging in recent years. It can support large capacity frequency hopping communication network and has flexible parameters, suitable for the high dynamic environment. In this project, we will study the applications of frequency hopping sequences with low hit zone in the high dynamic environment, which is a new topic. The research topics include: (1) the theoretic bound on the aperiodic partial Hamming correlation of frequency hopping sequences with low hit zone; (2) the design for low hit zone frequency hopping sequences with optimal aperiodic partial Hamming correlation and flexible parameters; (3) the applications of new low hit zone frequency hopping sequences in the quasi-synchronous frequency hopping communication system under the high dynamic environment. The study of this project will provide more numbers of frequency hopping sequences for the high dynamic frequency hopping communication system and improve its performance.

跳频序列特性的好坏很大程度上决定了跳频通信系统性能的优劣。设计具有优异特性的跳频序列一直是跳频通信领域的重要研究课题。基于常规跳频序列的跳频通信系统无法满足高动态复杂信道环境下动态频隙接入的需求。低碰撞区跳频序列是近年新出现的一个研究方向，它能够支撑大容量跳频组网且参数灵活可变，适用于高动态环境。本课题对低碰撞区跳频序列及其在高动态环境下的应用进行研究，这是一个新课题。主要研究内容包括：（1）低碰撞区跳频序列集非周期部分汉明相关函数的理论界研究；（2）具有最优非周期部分汉明相关和灵活参数的低碰撞区跳频序列设计；（3） 新型低碰撞区跳频序列在高动态环境下准同步跳频组网中的应用。本课题的研究将为高动态环境下跳频通信系统提供更多数量的跳频序列，提高高动态环境下跳频通信系统的性能。

本项目对低碰撞区跳频序列集的周期汉明相关特性、非周期汉明相关特性和部分汉明相关特性展开研究，构造具有优异周期汉明相关、非周期汉明相关和部分汉明相关的低碰撞区跳频序列集。将序列和编码技术用于分布式存储系统中，研究使用序列和编码技术降低系统修复带宽、提高修复效率、减少冗余开销等相关问题。主要研究内容和取得的成果如下：（1）分别利用交织技术、采样m序列、笛卡尔积技术构造了几类具有最优部分汉明相关的低碰撞区跳频序列集；（2）利用笛卡尔积技术，构造了几类具有最优周期汉明相关的低碰撞区跳频序列集；（3）找到了一种广义的方法，构造了几类具有最优非周期汉明相关的跳频序列集；（4）利用笛卡尔积技术，构造了几类具有新参数的无碰撞区跳频序列集，且这些序列集具有最优部分汉明相关特性；（5）将序列和编码技术用于分布式存储系统中，设计了几类能够降低分布式存储系统修复带宽、提高修复效率、减少冗余开销的纠删码。本项目所取得的研究成果能够更好地满足工程应用的需求，将进一步丰富和发展序列和编码的理论与方法。