基于均方误差的变步长恒模盲均衡算法仿真

Simulation of the constant modulus blind equilibrium algorithm with variable step-size based on the mean square error

阐述了用于信道盲均衡中恒模算法的数学模型和基本原理,在此基础上进一步研究其改进的变步长算法。采用的改进算法是以剩余均方误差作为调整步长的参量,解决了传统恒模算法中,由于采用固定步长而造成的收敛速度与收敛精度之间的矛盾。在分析不同步长对算法收敛性能的影响的时候,使用了集平均的处理方式,使得均方误差学习曲线变得较为平滑,易于比较。理论分析和计算机仿真实验均表明该算法与传统的恒模算法相比,具有更快的收敛速度和更小的稳态剩余误差。

The mathematic models and basic theory of constant modulus algorithm （CMA） for blind channel equalization are introduced. An improved algorithm with variable step size is proposed based on CMA. The improved algorithm uses the mean square error （MSE） to obtain the new variable step-size to solve the contradiction between the convergence rate and accuracy in traditional CMA with fixed step. To smooth the MSE learning curve for easy comparison, an ensemble average technique is used to analyze the performance of convergence with different step sizes. The theoretical analysis and the simulation results show that the improved algorithm is superior to the traditional constant modulus（CM） in terms of convergence speed and residual error.