已知5-tap多径信道参数为f=[-0.1+0.05i, 0.08+0.15i, 0.8-0.58i, -0.3+0.14i, -0.05-0.08i],请用matlab求解迫零均衡器矩阵c,并给出matlab代码
时间: 2023-03-30 22:05:04 浏览: 193
我可以回答这个问题。以下是matlab代码:
h = [-.1 .05i, .08 .15i, .8-.58i, -.3 .14i, -.05-.08i];
H = toeplitz(h);
R = H'*H;
c = inv(R)*H';
disp(c);
相关问题
已知5-tap多通道参数为f=[-0.1+0.05i, 0.08+0.15i, 0.8-0.58i, -0.3+0.14i, -0.05-0.08i],请用matlab求解迷零均衡器矩阵c,并给出matlab代码
我可以回答这个问题。请使用以下代码求解迷零均衡器矩阵c:
f = [-.1 .05i, .08 .15i, .8-.58i, -.3 .14i, -.05-.08i];
c = inv(toeplitz(f)) * [1; ; ; ; ];
其中,toeplitz(f)是根据f生成的Toeplitz矩阵,inv()是求逆矩阵的函数,*是矩阵乘法运算符。
OFDM-MIMO多径信道的LS估计,绘制MSE与信噪比的关系图的代码
以下是基于MATLAB的OFDM-MIMO多径信道LS估计,绘制MSE与信噪比关系图的代码:
```matlab
clear all;
close all;
% 设置参数
M = 4; % 调制阶数
Nt = 2; % 发射天线数
Nr = 2; % 接收天线数
SNR_dB = 0:5:30; % 信噪比范围
numIter = 1000; % 模拟次数
num_tap = 4; % 多径信道时延数
num_subcarrier = 64; % 子载波数
% 生成QPSK调制信号
data = randi([0 M-1], Nt, num_subcarrier);
% 构造发送信号
x = qammod(data, M);
% 构建MIMO多径信道
for i = 1:length(SNR_dB)
SNR = 10^(SNR_dB(i)/10);
h = zeros(Nr, Nt, num_tap);
for j = 1:num_tap
h(:,:,j) = (randn(Nr, Nt) + 1j*randn(Nr, Nt))/sqrt(2);
end
n = sqrt(1/SNR)*(randn(Nr, num_subcarrier, num_tap) + 1j*randn(Nr, num_subcarrier, num_tap))/sqrt(2);
y_tmp = zeros(Nr, num_subcarrier, num_tap);
for j = 1:num_tap
y_tmp(:,:,j) = squeeze(h(:,:,j))*x(:,:,j) + squeeze(n(:,:,j));
end
y(:,:,i) = sum(y_tmp, 3);
H(:,:,i) = squeeze(sum(h, 3));
end
% LS信道估计
H_LS = zeros(Nr, Nt, num_subcarrier, length(SNR_dB));
for i = 1:length(SNR_dB)
for j = 1:num_subcarrier
H_LS(:,:,j,i) = y(:,j,i)*x(:,j,i)'/(x(:,j,i)*x(:,j,i)');
end
end
% 计算MSE
MSE_LS = zeros(length(SNR_dB), 1);
for i = 1:length(SNR_dB)
for j = 1:num_subcarrier
for k = 1:numIter
noise = sqrt(1/SNR)*(randn(Nr, 1) + 1j*randn(Nr, 1))/sqrt(2);
H_est = y(:,j,i)*x(:,j,i)'/(x(:,j,i)*x(:,j,i)');
MSE_LS(i) = MSE_LS(i) + norm(H(:,:,i) - H_est, 'fro')^2;
end
end
end
MSE_LS = MSE_LS/numIter/num_subcarrier;
% 绘制MSE与信噪比关系图
figure;
semilogy(SNR_dB, MSE_LS, 'r-o');
title('LS信道估计MSE与信噪比关系图');
xlabel('信噪比 (dB)');
ylabel('MSE');
grid on;
```
该代码使用LS算法对OFDM-MIMO多径信道进行信道估计,并绘制了MSE与信噪比之间的关系图。
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