matlab编写2psk、qpsk、8psk调制解调和蒙特卡罗仿真

以下是MATLAB中实现2PSK、QPSK、8PSK调制和解调的代码示例：

2PSK调制：

% 信号的二进制比特流
bits = [1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0];

% 2PSK调制映射表
mapping_table = [1 -1];

% 将二进制比特流映射到2PSK调制信号
signal = mapping_table(bits+1);

% 绘制2PSK调制信号波形
plot(signal);

2PSK解调：

% 接收信号
received_signal = [-1 1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 1 -1];

% 2PSK解调映射表
demodulation_table = [-1 1];

% 2PSK解调
demodulated_bits = received_signal > 0;
demodulated_signal = demodulation_table(demodulated_bits+1);

% 输出解调结果
disp('解调结果：');
disp(demodulated_signal);

QPSK调制：

% 信号的二进制比特流
bits = [1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0];

% QPSK调制映射表
mapping_table = [1+1i -1+1i -1-1i 1-1i] / sqrt(2);

% 将二进制比特流映射到QPSK调制信号
signal = mapping_table(1+(bits(1:2:end)*2+bits(2:2:end)));

% 绘制QPSK调制信号波形
plot(real(signal), imag(signal));

QPSK解调：

% 接收信号
received_signal = [-0.7071-0.7071i -0.7071+0.7071i 0.7071+0.7071i -0.7071+0.7071i 0.7071+0.7071i -0.7071-0.7071i -0.7071-0.7071i 0.7071-0.7071i 0.7071+0.7071i -0.7071+0.7071i 0.7071-0.7071i -0.7071-0.7071i 0.7071-0.7071i -0.7071+0.7071i 0.7071+0.7071i -0.7071-0.7071i];

% QPSK解调映射表
demodulation_table = [1 0 3 2];

% QPSK解调
demodulated_bits = zeros(1, length(received_signal)*2);
for i=1:length(received_signal)
    [~, idx] = min(abs(received_signal(i) - mapping_table));
    demodulated_bits(i*2-1:i*2) = de2bi(demodulation_table(idx)-1, 2);
end

% 输出解调结果
disp('解调结果：');
disp(demodulated_bits);

8PSK调制：

% 信号的二进制比特流
bits = [1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0];

% 8PSK调制映射表
mapping_table = exp(1i*(0:7)*pi/4);

% 将二进制比特流映射到8PSK调制信号
signal = mapping_table(1+(bits(1:3:end)*4+bits(2:3:end)*2+bits(3:3:end)));

% 绘制8PSK调制信号波形
plot(real(signal), imag(signal));

8PSK解调：

% 接收信号
received_signal = [-0.7071+0.7071i 1.0000+0.0000i -0.7071+0.7071i 0.0000-1.0000i -0.7071-0.7071i 0.0000+1.0000i -0.7071-0.7071i 0.7071-0.7071i 0.7071+0.7071i -0.7071-0.7071i 0.0000+1.0000i -0.7071+0.7071i 0.0000-1.0000i 0.7071-0.7071i 0.7071+0.7071i -0.7071+0.7071i];

% 8PSK解调映射表
demodulation_table = [1 2 3 4 5 6 7 8];

% 8PSK解调
demodulated_bits = zeros(1, length(received_signal)*3);
for i=1:length(received_signal)
    [~, idx] = min(abs(received_signal(i) - mapping_table));
    demodulated_bits(i*3-2:i*3) = de2bi(demodulation_table(idx)-1, 3);
end

% 输出解调结果
disp('解调结果：');
disp(demodulated_bits);

以上是调制和解调的代码示例，下面是蒙特卡罗仿真的示例代码：

% 信号的二进制比特流
bits = randi([0, 1], [1, 1000]);

% 2PSK调制映射表
mapping_table_2psk = [1 -1];

% 2PSK调制
signal_2psk = mapping_table_2psk(bits+1);

% 2PSK解调映射表
demodulation_table_2psk = [-1 1];

% 添加高斯白噪声
snr = 5;
noise_power = 10^(-snr/10);
noise = sqrt(noise_power/2) * (randn(size(signal_2psk)) + 1i * randn(size(signal_2psk)));

% 接收信号
received_signal_2psk = signal_2psk + noise;

% 2PSK解调
demodulated_bits_2psk = received_signal_2psk > 0;
demodulated_signal_2psk = demodulation_table_2psk(demodulated_bits_2psk+1);

% 计算误码率
num_errors_2psk = sum(bits ~= demodulated_bits_2psk);
ber_2psk = num_errors_2psk / length(bits);

disp(['2PSK误码率：', num2str(ber_2psk)]);

% QPSK调制映射表
mapping_table_qpsk = [1+1i -1+1i -1-1i 1-1i] / sqrt(2);

% QPSK调制
signal_qpsk = mapping_table_qpsk(1+(bits(1:2:end)*2+bits(2:2:end)));

% QPSK解调映射表
demodulation_table_qpsk = [1 0 3 2];

% 添加高斯白噪声
noise = sqrt(noise_power/2) * (randn(size(signal_qpsk)) + 1i * randn(size(signal_qpsk)));

% 接收信号
received_signal_qpsk = signal_qpsk + noise;

% QPSK解调
demodulated_bits_qpsk = zeros(1, length(received_signal_qpsk)*2);
for i=1:length(received_signal_qpsk)
    [~, idx] = min(abs(received_signal_qpsk(i) - mapping_table_qpsk));
    demodulated_bits_qpsk(i*2-1:i*2) = de2bi(demodulation_table_qpsk(idx)-1, 2);
end

% 计算误码率
num_errors_qpsk = sum(bits ~= demodulated_bits_qpsk);
ber_qpsk = num_errors_qpsk / length(bits);

disp(['QPSK误码率：', num2str(ber_qpsk)]);

% 8PSK调制映射表
mapping_table_8psk = exp(1i*(0:7)*pi/4);

% 8PSK调制
signal_8psk = mapping_table_8psk(1+(bits(1:3:end)*4+bits(2:3:end)*2+bits(3:3:end)));

% 8PSK解调映射表
demodulation_table_8psk = [1 2 3 4 5 6 7 8];

% 添加高斯白噪声
noise = sqrt(noise_power/2) * (randn(size(signal_8psk)) + 1i * randn(size(signal_8psk)));

% 接收信号
received_signal_8psk = signal_8psk + noise;

% 8PSK解调
demodulated_bits_8psk = zeros(1, length(received_signal_8psk)*3);
for i=1:length(received_signal_8psk)
    [~, idx] = min(abs(received_signal_8psk(i) - mapping_table_8psk));
    demodulated_bits_8psk(i*3-2:i*3) = de2bi(demodulation_table_8psk(idx)-1, 3);
end

% 计算误码率
num_errors_8psk = sum(bits ~= demodulated_bits_8psk);
ber_8psk = num_errors_8psk / length(bits);

disp(['8PSK误码率：', num2str(ber_8psk)]);

以上是2PSK、QPSK、8PSK调制解调和蒙特卡罗仿真的代码示例。