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%信源为单极性归零码,取样点数自己定义
global dt df t f N T %定义全局变量
close all %关闭以前的应用窗口
clear Eb_N0 Pe
k=input('取样点数=2^k, k=[13]'); %采样点数自定义,默认为2^13
if k==[], k=13; end
%Rt=input('占空比[0:1](默认0.5,为1则是NRZ码)');
%if Rt==[],Rt=0.5;
%end;
N=2^k; %总的取样点数
L=32; %L为每个码元的取样点数
M=N/L; %M码元总数
Rb=2; %码元速率Rb=2Mb/s
Ts=1/Rb; %码元宽度Ts
dt=Ts/L; %时域取样间隔
df=1/(N*dt);%频域取样间隔
T=N*dt; %时间截断长度
Bs=N*df/2; %带宽
Na=2; %示波器扫描宽度为2个码元
t=linspace(-T/2,T/2,N); %频域横坐标
f=linspace(-Bs,Bs,N)+eps;%时域横坐标
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% BPSK
%升余弦
alpha=0; %理想低通
hr1=sin(pi*t/Ts)./(pi*t/Ts);
hr2=cos(alpha*pi*t/Ts)./(1-(2*alpha*t/Ts).^2);
hr=hr1.*hr2;
HR=abs(t2f(hr));
GT=sqrt(HR);
GR=GT;
%。。。。。。。。。。。。。载波
A=1;
fc=1/Ts;
m=A*cos(2*pi*fc*t);
for loop1=1:15
Eb_N0(loop1)=2*(loop1-1); %Eb/N0 in dB
eb_n0(loop1)=10^(Eb_N0(loop1)/10);
Eb=1;
n0=Eb/(4*eb_n0(loop1)); %信道的噪声谱密度
sita=n0*Bs; %信道中噪声功率
n_err=0; %误码计数
for loop2=1:5
a=sign(randn(1,M)); %产生随机码
s=zeros(1,N);
for ii=1:Ts/dt;
s(ii+[0:M-1]*L)=a; %将信源变成双极性不归零码
end
S=t2f(s); %信源信号的傅式变换
s1=s.*m; %经调制后的PSK信号
S1=t2f(s1);
n_ch=sqrt(sita)*randn(size(t)); %信道噪声
s2=s1+n_ch; %加噪声后的信号
sr=s2.*m; %解调
SR=t2f(sr);
y0=real(f2t(t2f(sr).*GR)); %通过接收滤波器
Y0=t2f(y0);
y=y0(L/2:L:N);
y=sign(y);%抽样判决
n_err=n_err+length(find(y~=a));
end
Pe1(loop1)=n_err/(M*loop2);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% QPSK
A=1;
fc=1/Ts;
m=A*cos(2*pi*fc*t);
n=-A*sin(2*pi*fc*t);
for loop1=1:15 %误码率曲线
Eb_N0(loop1)=2*(loop1-1); %Eb/N0 in dB
eb_n0(loop1)=10^(Eb_N0(loop1)/10);
Eb=0.25;
n0=Eb/(eb_n0(loop1)); %信道的噪声谱密度
sita=n0*Bs; %信道中噪声功率
n_err=0; %误码计数
for loop2=1:5
a=sign(randn(1,M)); %产生随机码
i=zeros(1,M); %串并转换
q=zeros(1,M);
y0=zeros(1,M);
s=zeros(1,N);
I=zeros(1,N);
Q=zeros(1,N);
y=zeros(1,N);
for nn=1:M/2
i(2*nn-1)=a(2*nn);
q(2*nn-1)=a(2*nn-1);
i(2*nn)=i(2*nn-1);
q(2*nn)=i(2*nn-1);
end;
for ii=1:Ts/dt;
s(ii+[0:M-1]*L)=a; %将信源变成不归零码
I(ii+[0:M-1]*L)=i;
Q(ii+[0:M-1]*L)=q;
end
S=t2f(s); %信源信号的傅式变换
Ia=I.*m; %两路分别调制
Qa=Q.*n;
st=Ia+Qa; %并串转换
n_ch=sqrt(sita)*randn(size(t)); %信道噪声
st=st+n_ch; %加噪声
Iaa=st.*m; %对两路信号分别解调
Qaa=st.*n;
Ir=real(f2t(t2f(Iaa).*GR)); %分别通过滤波器
Qr=real(f2t(t2f(Qaa).*GR));
%sr=Ir+Qr;
yi=Ir(L/2:L:N); %抽样判决
yq=Qr(L/2:L:N);
yi=sign(yi);
yq=sign(yq);
bc=ones(1,L); %定义复制的次数
yii=yi(bc,:); %将a的第一行复制L次,生成L*M矩阵
ei=reshape(yii,1,L*M); %将c重排成1*L*M数组
yqq=yq(bc,:); %将a的第一行复制L次,生成L*M矩阵
eq=reshape(yqq,1,L*M); %将c重排成1*L*M数组
for nn=1:M/2 %并串转换
y0(2*nn)=yi(2*nn);
y0(2*nn-1)=yq(2*nn-1);
end;
for ii=1:L;
y(ii+[0:M-1]*L)=y0; %变成不归零码
end
n_err=n_err+length(find(y0~=a));
end
Pe2(loop1)=n_err/(M*loop2);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% FSK
A=1;
f1=1/Ts;
f2=2/Ts;
m=A*cos(2*pi*f1*t);%z载波
n=-A*cos(2*pi*f2*t);
for loop1=1:15
Eb_N0(loop1)=2*(loop1-1); %Eb/N0 in dB
eb_n0(loop1)=10^(Eb_N0(loop1)/10);
Eb=1;
n0=Eb/(4*eb_n0(loop1)); %信道的噪声谱密度
sita=n0*Bs; %信道中噪声功率
n_err=0; %误码计数
for loop2=1:5
a=round(rand(1,M)); %产生随机码
b=a-1;
s=zeros(1,N);
ss=zeros(1,N);
for ii=1:Ts/dt;
s(ii+[0:M-1]*L)=a; %将信源变成单极性不归零码
ss(ii+[0:M-1]*L)=b;
end
S=t2f(s); %信源信号的傅式变换
s1=s.*m;
s2=ss.*n;
st=s1+s2;%经调制后的FSK信号
ST=t2f(st);
n_ch=sqrt(sita)*randn(size(t)); %信道噪声
stt=st+n_ch; %加噪声后的信号
sr1=stt.*m; %解调
sr2=stt.*(-n);
SR=t2f(sr1);
y1=real(f2t(t2f(sr1).*GR)); %通过接收滤波器
y2=real(f2t(t2f(sr2).*GR)); %通过接收滤波器
Y1=t2f(y1);
y11=y1(L/2:L:N);
y22=y2(L/2:L:N);
y=y11-y22;
y=(sign(y)+1)/2;;%抽样判决
n_err=n_err+length(find(y~=a));
end
Pe3(loop1)=n_err/(M*loop2);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 16QAM
A=1;
fc=1/Ts;
m=A*cos(2*pi*fc*t);
n=-A*sin(2*pi*fc*t); % lianggezaibo
for loop1=1:15 %误码率曲线
Eb_N0(loop1)=2*(loop1-1); %Eb/N0 in dB
eb_n0(loop1)=10^(Eb_N0(loop1)/10);
Eb=0.25;
n0=Eb/(eb_n0(loop1)); %信道的噪声谱密度
sita=n0*Bs; %信道中噪声功率
n_err=0; %误码计数
for loop2=1:5
a=round(rand(1,M)); %产生随机码
for l3=1:L;
s(l3+[0:M-1]*L)=a; %将输出信号变成双极性不归零码
end
S=t2f(s);
i=zeros(1,M/2); %串并转换
q=zeros(1,M/2);
I=zeros(1,N); %串并转换
Q=zeros(1,N);
i=a(1:2:M-1);
q=a(2:2:M);
ii=zeros(1,M/4); %串并转换
qq=zeros(1,M/4);
yii=zeros(1,M/2); %串并转换
yqq=zeros(1,M/2);
y=zeros(1,M);
for l1=1:2:(M/2-1);
if i(l1)-i(l1+1)==1,
ii((l1+1)/2)=1;
elseif i(l1)-i(l1+1)==-1
ii((l1+1)/2)=-1;
elseif i(l1)==0
ii((l1+1)/2)=-3;
else ii((l1+1)/2)=3;
end
if q(l1)-q(l1+1)==1,
qq((l1+1)/2)=1;
elseif q(l1)-q(l1+1)==-1
qq((l1+1)/2)=-1;
elseif q(l1)==0
qq((l1+1)/2)=-3;
else qq((l1+1)/2)=3;
end
end
for l2=1:4*Ts/dt;
I(l2+[0:M/4-1]*4*L)=ii;
Q(l2+[0:M/4-1]*4*L)=qq;
end;
Ia=I.*m; %两路分别调制
Qa=Q.*n;
st=Ia+Qa; %并串转换--矩形星座
ST=t2f(st); %信源信号的傅式变换
n_ch=sqrt(sita)*randn(size(t)); %信道噪声
st=st+n_ch; %加噪声
Iaa=st.*m; %对两路信号分别解调
Qaa=st.*n;
Ir=real(f2t(t2f(Iaa).*GR)); %分别通过滤波器
Qr=real(f2t(t2f(Qaa).*GR));
yi=Ir(2*L:4*L:N); %抽样判决
yq=Qr(2*L:4*L:N);
for l2=1:2:M/2-1
k1=abs(yi((l2+1)/2)+1);
k2=abs(yi((l2+1)/2)+0.5);
k3=abs(yi((l2+1)/2)-0.5);
k4=abs(yi((l2+1)/2)-1);
k=[k1,k2,k3,k4];
p1=abs(yq((l2+1)/2)+1);
p2=abs(yq((l2+1)/2)+0.5);
p3=abs(yq((l2+1)/2)-0.5);
p4=abs(yq((l2+1)/2)-1);
p=[p1,p2,p3,p4];
if k1==min(k)
yii(l2)=0;yii(l2+1)=0;
elseif k2==min(k)
yii(l2)=0;yii(l2+1)=1;
elseif k3==min(k)
yii(l2)=1;yii(l2+1)=0;
elseif k4==min(k)
yii(l2)=1;yii(l2+1)=1;
end
if p1==min(p)
yqq(l2)=0;yqq(l2+1)=0;
elseif p2==min(p)
yqq(l2)=0;yqq(l2+1)=1;
elseif p3==min(p)
yqq(l2)=1;yqq(l2+1)=0;
elseif p4==min(p)
yqq(l2)=1;yqq(l2+1)=1;
end
end
y(1:2:M-1)=yii;
y(2:2:M)=yqq;
n_err=n_err+length(find(y~=a));
end
Pe4(loop1)=n_err/(M*loop2);
end
figure(1)
semilogy(Eb_N0,Pe1,'r');
hold on
semilogy(Eb_N0,Pe2,'y');
hold on
semilogy(Eb_N0,Pe3,'b');
hold on
semilogy(Eb_N0,Pe4,'g');
axis([0,14,1e-4,1])
xlabel('Eb/N0')
ylabel('Pe')
title('误码率曲线')
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