无碰撞区跳频/时序列理论界与设计

Frequency / Time Hopping Sequences with No Hit Zone: Bounds and Designs

跳频(时)序列分析与设计是跳频(时)扩频通信系统的核心技术。无碰撞区跳频序列是近年新出现的一个研究方向,现已成为通信领域的研究热点。对无碰撞区跳频序列的理论界及其设计进行深入研究,导出无碰撞区跳频序列的一些本质属性;讨论无碰撞区跳频序列集周期汉明相关函数的理论界,揭示几个理论界之间的关系,给出这些理论界等价的条件。提出最优无碰撞区跳频序列的一般构造方法。利用该构造方法,可以产生任意长度的最优无碰撞区跳频序列集。并且,任意一个最优无碰撞区跳频序列集,都可以由一般构造方法产生。

The analysis and design of frequency/time hopping sequences are the crucial technologies of the spread spec- trum communication systems. The frequency hopping sequences with no hit zone is one emerging area, which has been a hot topic in the communications field. In this paper, we do some deeper research on the theoretical bounds and design of frequency hopping sequences with no hit zone, which points out some essential properties of frequency hop- ping sequences with no hit zone. The theoretical bounds on the periodic Hamming correlations of frequency hopping sequence sets with no hit zone are discussed. The relationships between these different theoretical bounds are dis- closed and the equivalent conditions for these theoretical bounds are presented. In addition, a general construction method of frequency hopping sequences with no hit zone is proposed. By this construction method, optimal frequency hopping sequence sets with no hit zone of any length and any optimal frequency hopping sequence sets with no hit zone can be obtained.