基于概率密度函数的盲均衡算法稳态性能分析

Steady state performance analysis of blind equalization algorithm based on probability density function

为分析基于Parzen窗方法概率密度函数盲均衡算法(PPDF)的稳态性能,采用数值求解法,分别输入4种调制信号,研究PPDF算法在不同核参数下补偿因子的取值。此外,利用分离假设原理分别得出PPDF算法在实值和复值数据条件下稳态均方误差(MSE)的封闭解析表达式。仿真结果表明,在无噪环境中,PPDF算法实值和复值的稳态MSE的理论值与仿真值较为吻合,验证了理论分析的准确性。

In order to analyze the steady-state performance of the Parzen probability density function(PPDF) algorithm based on the Parzen window method, the numerical solution method was used to input four kinds of modulation signals respectively, and the value of the compensation factor of the PPDF algorithm under different kernel parameters was studied. In addition, the closed analytical expressions of the steady-state mean square error(MSE) of the PPDF algorithm under the conditions of real-valued and complex-valued data were obtained by using the separation hypothesis principle. The simulation results show that the theoretical values of real and complex steady MSE of PPDF algorithm are in good agreement with the simulation values in the noiseless environment, which verifies the accuracy of the theoretical analysis.