比较四种特征值扩散度RLS学习曲线

%本例比较了在四种特征值扩散度不同的情况下RLS算法的学习曲线
clear all
close all
sigma = 0.001; %噪声功率
NR = 11; %抽头数
N = 300; %采样次数
wn=[3.5 3.3 3.1 2.9]; %设置四种特征值扩散度
E=zeros(N-NR+1,4); %误差矩阵的初始化
for t = 1:4
W = wn(t);
%独立的200次实验
for j=1:200
%加入信道的随机序列
X = binornd(1, 0.5, N, 1)*2 - ones(N, 1);
%信道冲激响应
n=1:3;
Hn = 1/2 * (1+ cos(2 * pi / W * (n-2)));

C = conv(X, Hn);
%信道噪声为加性高斯白噪声
B = normrnd(0, sqrt(sigma), length(C), 1);
C = B + C;
%算法的初如化设置
delta = 0.004;
lambda = 1.0;
Mn = zeros( NR, 1);
Pn = 1/delta * eye(NR);

for i =1: N-NR+1
Xn = C(i:i+NR-1,1);
Pin = Pn * Xn;
Kn = Pin./(lambda + Xn' * Pin);
Y(i) = Mn' * Xn;
e(i) = X(i+7) - Y(i);
Mn = Mn + Kn * e(i);
Pn = 1/lambda * Pn-1/lambda * Kn * Xn' * Pn;
E(i,t) = E(i,t)+e(i)^2; %每种特征值下的集平均误差
end
end
end
semilogy(E/200);legend('W=3.5','W=3.3','W=3.1','W=2.9');