基于DNA遗传优化的正交小波常模盲均衡算法

Orthogonal Wavelet Transform Constant Modulus Blind Equalization Algorithm Based on Optimization of DNA Genetic

为克服传统正交小波变换盲均衡算法(Wavelet transform constant modulus blind equalization algorithm,WTCMA)收敛速度慢、均方误差大、易于陷入局部极小值的缺点,提出了一种基于DNA遗传优化的正交小波常模盲均衡算法(Wavelet transform constant modulus blind equalization algorithm based on the optimization of DNA genetic algorithm,DNA-GA-WTCMA)。该算法采用基于DNA核苷酸链的编码方式表示问题的可能解,并且对编码后的DNA链采用新型的交叉操作和变异操作来寻找DNA种群中的最优个体,然后将得到的最优个体进行解码,把解码后得到的权向量作为均衡器的最优权向量,以避免WTCMA出现局部收敛并提高收敛速度。仿真实验表明,与基于遗传优化的正交小波变换常模盲均衡算法(Wavelet transform constant modulus blind equalization algorithm based on the optimization of genetic algorithm,GA-WTCMA)相比,该算法可以获得更快的收敛速度和更低的均方误差。

In order to overcome the disadvantages of traditional orthogonal wavelet transform constant modulus blind equalization algorithm （WTCMA）,such as slow convergence rate,large mean square error,and immerging in partial minimum,an orthogonal wavelet transform constant modulus blind equalization algorithm based on the optimization of DNA genetic algorithm （DNA-GA-WTCMA） is proposed.For the sake of avoiding appearance local convergence of WTCMA and improving the convergence rate,this proposed algorithm adopted encoding method based on DNA nucleotide chains to denote the possible solution of problem,besides,new crossover operators and mutation operators are used to find the optimal individual,and then the weight vector can be obtained after decoding the optimal individual,this weight vector is used as the optimal weight vector of equalizer.Computer simulations show that,compared with orthogonal wavelet transform constant modulus blind equalization algorithm based on the optimization of genetic algorithm （GA-WTCMA）,the proposed algorithm has faster convergence rate and smaller mean square error.