基于WelchCostas序列的最佳跳频码结构及其在OFDM系统中的应用  

Constructions of Optimal Frequency Hopping Codes Based on Welch Costas Arrays and Their Applications in OFDM Systems

作　　者：姚建国[1,2] 王玉峰[1,2] 衡伟[3] 李艳玲[1] 

机构地区：[1]南京邮电大学通信与信息工程学院,江苏南京210003 [2]南京邮电大学 江苏省无线通信重点实验室,江苏南京210003 [3]东南大学移动通信国家重点实验室,江苏南京210096

出　　处：《南京邮电大学学报（自然科学版）》2013年第4期29-38,共10页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(61171092);南京邮电大学校科研基金(NY207133)资助项目

摘　　要：讨论了OFDM系统中跳频码设计的问题,建立了含有一个间隙行的Welch Costas序列的结构理论,深入研究了含有一个间隙行的Welch Costas序列的代数结构、构造方法和自(互)相关特性,并证明了相关的定理。探索了用含有一个间隙行的Welch Costas序列设计OFDM系统中跳频图样的方法,举例说明了如何设计跳频码和怎样将跳频码分配给OFDM系统中的用户。用含有一个间隙行的Welch Costas序列设计跳频码能获得理想的自相关特性,并且当无线通信系统中多普勒频移受限时能获得极佳的互相关性能。Theory of Welch Costas arrays with 1-gap row structures was established when the design of fre- quency hopping codes used in OFDM systems was discussed. By conducting a number of researches on the algebraic constructions and the auto- and cross-correlation properties of Welch Costas arrays with 1-gap row, certain theorems were confirmed. The design of frequency hopping codes and the distribution of them to the users were illustrated while the design of frequency hopping patterns in OFDM systems with Welch Costas arrays with 1-gap row was explored. By designing frequency hopping codes with Welch Costas ar- rays with 1-gap row, an algebraically constructed frequency hop code family can achieve ideal auto-corre- lation properties. And excellent cross-correlation performance will be obtained when the Doppler shifts are limitted in a wireless communication system.

关 键 词：含有一个间隙行的Welch COSTAS序列 互相关函数 OFDM 跳频图样 本原元 

分 类 号：TN929.5[电子电信—通信与信息系统]