CMA(p,q)型自适应算法的稳态性能分析  

Steady-state performance analysis of CMA(p,q) adaptive algorithm

作　　者：霍嘉俊 张朝宇 李甲顺 林斌[1] HUO Jia-jun;ZHANG Chao-yu;LI Jia-shun;LIN-Bin(College of Information Science and Technology,Dalian Maritime University,Dalian 116026,China)

机构地区：[1]大连海事大学信息科学技术学院,辽宁大连116026

出　　处：《大连海事大学学报》2021年第3期96-103,共8页Journal of Dalian Maritime University

摘　　要：在数字通信中具有广泛应用的盲均衡恒模算法CMA(p,q),其参数p和q值一般选取为正整数1和2.为适应更一般环境,有必要将参数p和q值从整数推广至普通正实数.与传统的性能分析方法即对权值误差向量的协方差矩阵进行递归推导不同,基于能量守恒关系,直接对误差函数进行泰勒级数展开,并利用分离假设原理,推导出CMA(p,q)的通用稳态封闭解析表达式,并建立关于p,q值在可选择范围的理想的数学模型.仿真结果表明,复数或实数数据的仿真值和理论值均较为匹配.CMA(p,q), a blind equalization constant modulus algorithm, was widely used in digital communication, its parameters p and q were generally selected as positive integers 1 and 2. In order to adapt to a more general environment, it is necessary to extend the values of parameters p and q from integers to ordinary positive real numbers. Different from the traditional performance analysis method which was to recursively derive the covariance matrix of the weight error vector, based on the energy conservation relationship, the error function was directly expanded by Taylor series, and the principle of separation hypothesis was used to derive the general steady-state closed analytical expression of CMA(p,q), and an ideal mathematical model for p,q values in the selectable range was established. The simulation results show that the simulation values of complex or real data match well with the theoretical values.

关 键 词：恒模算法(CMA) 能量守恒 稳态性能 均方误差 

分 类 号：TN91[电子电信—通信与信息系统]