📄 estimator_mmse.m
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function [ H_est , MSE ] = estimator_mmse( Recv , Training , Method , N_subc_Remain , H_ideal)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 进行基本的MMSE和MMSE-DFT信道估计
% 计算出均方误差.
% 输入: Recv, 频域接收到的各个子载波上的复数信号, N_subc(子载波数) 行, N(训练OFDM符号个数)列的复数向量
% Training , 发送的训练序列 , N_subc 行, N 列的向量
% 注意: 训练序列中不能有零, 否则出错.
% Method, 信道估计的方法 ,正整数, 1--- MMSE估计, 2 ---MMSE-DFT估计的DFT改进
% N_subc_Remain, LS估计的DFT改进方法,所保留的子载波数. 为正整数值.
% 建议选取改值等于最大多径时延对应的时域样点数
%
%
% 输出: H_est, 估计得到的各个子载波上的频域响应, N_subc 行, 1列的复数向量
% MSE, 本次估计的均方误差
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
N_subc = size(Recv,1); % 子载波数
H_est = zeros(N_subc ,1);
N = size(Recv,2);
% 接收信号乘上训练序列的共轭, 除以训练序列的模值的平方,得到LS估计的信道响应
H_ls = Recv.*conj(Training)./abs(Training).^2;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 如果仅输入两个参数
if nargin == 2
H_est = H_ls; % LS估计
MSE = [];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 如果输入五个参数
elseif nargin == 5
if Method == 1
H_est = H_ls; % LS估计
elseif Method == 2 % LS估计DFT改进
% 首先变换到时域
time_domain = ifft(fftshift(H_ls,1)) * sqrt(N_subc);
time_cut = zeros(N_subc,N);
leakage = 0; % 能量泄漏的子载波数
% 保留时域能量集中的N_subc_Remain个样点
time_cut( 1: N_subc_Remain,: ) = time_domain( 1: N_subc_Remain,: );
% 保留能量泄漏的leakage个样点
time_cut( N_subc - leakage : N_subc,: ) = time_domain( N_subc - leakage : N_subc,: );
% 变换到频域
H_ls_dft = fftshift(fft(time_cut) * 1/sqrt(N_subc),1);
H_est = H_ls_dft;
else
error('子程序estimator输入参数不匹配!');
end
% 计算均方误差
diff = H_ideal - H_est;
MSE = sum(sum( abs(diff).^2 )) / (N_subc*N) ;
end
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