一种基于与BCH码等价原理的m序列重构算法

A Method for Reconstruction of m Sequence Based on the Equivalence with BCH Codes

该文针对现有m序列特征多项式估计方法在高阶高误码条件下的估计效率不高,精度不够的问题展开研究,通过分析m序列和BCH码的生成原理,得出二者之间的等价关系,进而提出了一种新的m序列特征多项式的估计算法。该算法通过构造与之等价的BCH码,利用其良好的纠错性能,实现高误码条件下的m序列特征多项式的估计,仿真结果表明本算法能较好地解决误码条件下的m序列特征多项式估计问题,运算速度主要适用于通信信号处理中常用20阶以内的m序列分析问题。

The issue of insufficient efficiency and accuracy of current estimation methods for characteristic polynomial of m sequence under high error conditions is studied.A equivalent relationship between m sequence and BCH codes is derived by studying their generation principles,and then a new estimation algorithm for characteristic polynomial of m sequence is proposed in the paper.By constructing equivalent BCH codes,characteristic polynomial of m sequence is estimated using their good error-correction performance under high error conditions.Simulation results show that the algorithm can solve the estimation for characteristic polynomial of m sequence under error conditions,operation speed of the algorithm can mainly be accepted for analysis of m sequence lower than 20-order in signal processing.