量子电子学报, 2005, 22 (5): 789, 网络出版: 2006-05-15
异步OCDMA系统素数地址码的设计和分析
The novel signature code designing and analysis for asynchronous OCDMA system
光通信 地址码 扩展二次素数码 自相关 码函数 optical communication signature code： extended square prime code autocorrelation code function
摘要
在伽罗华有限域理论的基础上,用素域上的二次素数序列对素数码的码函数进行改进.结合MPC和EPC降低互相关值的方法,讨论异步OCDMA系统用户地址码的结构优化.分析MSPC的相关特性:最大互相关为2,最大自相关旁瓣为1,在此基础上,进一步构造出ESPC码字,该码字的自相关旁瓣和互相关的最大值均为1.较之由线性码函数确定的素数码,该码字的峰值旁瓣比大大增加.有利于提高系统传输性能,同时给信号探测提供便利.
Abstract
Based on Galois theory of definite field, using the square prime sequence, the code function of basic prime code is modified and extended. The auto-correlation and crosscorelation of MSPC, which based on square prime sequence, are analyzed in detail. The maximum auto and cross correlation are 2 and 1 respectively. And then, going through reconstructing the prime sequence and code function, a novel signature code, ESPC has been acquired. Compared to basic OPCs derived from linear prime sequence, the maximum value of auto-correlation of ESPC is reduced from p - 1 to 1 and cross-correlation is reduced from 2 to 1. the ratio of auto-correlation peak to sideband has largely enhanced, which ensures a better system performance and is more advantageous in signal detection
李传起, 孙小菡, 张明德. 异步OCDMA系统素数地址码的设计和分析[J]. 量子电子学报, 2005, 22(5): 789. 李传起, 孙小菡, 张明德. The novel signature code designing and analysis for asynchronous OCDMA system[J]. Chinese Journal of Quantum Electronics, 2005, 22(5): 789.
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