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%信源为单极性不归零码(NRZ),取样点数自己定义.......16QAM
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
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
alpha=0; %升余弦滚降系数
t=linspace(-T/2,T/2,N); %频域横坐标
f=linspace(-Bs,Bs,N)+eps;%时域横坐标
%升余弦
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;
figure(1)
set(1,'Position',[10,250,500,400])
%设定窗口位置及大小
figure(2)
set(2,'Position',[515,250,500,400])
%设定窗口位置及大小
figure(3)
set(3,'Position',[50,10,500,200])
%设定窗口位置及大小
figure(4)
set(4,'Position',[600,10,400,300])
%设定窗口位置及大小
A=1;
fc=1/Ts;
m=A*cos(2*pi*fc*t);
n=-A*sin(2*pi*fc*t); % lianggezaibo
EP=zeros(size(f));
EPa=zeros(size(f));
for loop1=1:15 %误码率曲线
Eb_N0(loop1)=2*(loop1-1); %Eb/N0 in dB
%loop1=1;
%Eb_N0(loop1)=30; %Eb/N0 in dB
eb_n0(loop1)=10^(Eb_N0(loop1)/10);
Eb=1;
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);
P=S.*conj(S)/Ts;
EP=(EP*(loop1-1)+P)/loop1; %发送功率谱
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
Pa=ST.*conj(ST)/T;
EPa=(EP*(loop1-1)+Pa)/loop1; %发送功率谱
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; %并串转换
y(2:2:M)=yqq;
for l4=1:L;
e(l4+[0:M-1]*L)=y; %将输出信号变成双极性不归零码
end
Se=t2f(e);
Pa=Se.*conj(Se)/T;
EPa=(EPa*(loop1-1)+Pa)/loop1; %经调制后的PSK信号功率谱
n_err=n_err+length(find(y~=a));
end
Pe(loop1)=n_err/(M*loop2);
end
figure(1)
subplot(2,2,1)
plot(t,s,'r');
axis([-T/64,T/64,min(s)-0.5,max(s)+0.5])
xlabel('t (ms)');
ylabel('s (V/KHz)');
title('信源信号波形');
subplot(2,2,2)
bb=30+10*log10(EP+eps);
plot(f,bb,'g')
axis([-20,20,-20,max(bb)+0.5])
grid
xlabel('f(Mhz)');
ylabel('P(f) (dBm/MHz)');
title('信源信号功率谱密度图形');
subplot(2,2,3)
plot(t,e,'b');
axis([-T/64,T/64,min(e)-0.5,max(e)+0.5])
xlabel('t (ms)');
ylabel('e (V/KHz)');
title('输出信号滤波波形');
subplot(2,2,4)
bb=30+10*log10(EPa+eps);
plot(f,bb,'g')
axis([-20,20,-20,max(bb)+0.5])
grid
xlabel('f(Mhz)');
ylabel('Po(f) (dBm/MHz)');
title('输出信号功率谱密度图形');
figure(2)
subplot(2,3,1)
plot(t,I,'r');
axis([-T/16,T/16,min(I)-0.5,max(I)+0.5])
xlabel('t (ms)');
ylabel('I (V/KHz)');
title('I路信号波形');
subplot(2,3,2)
plot(t,st,'b');
axis([-T/16,T/16,min(st)-0.5,max(st)+0.5])
xlabel('t (ms)');
ylabel('st (V/KHz)');
title('调制信号波形');
subplot(2,3,3)
plot(t,Iaa,'b');
axis([-T/16,T/16,min(Iaa)-0.5,max(Iaa)+0.5])
xlabel('t (ms)');
ylabel('Iaa (V/KHz)');
title('解调信号波形');
subplot(2,3,4)
plot(t,Q,'b');
axis([-T/16,T/16,min(Q)-0.5,max(Q)+0.5])
xlabel('t (ms)');
ylabel('Q (V/KHz)');
title('Q路信号波形');
subplot(2,3,5)
bb=30+10*log10(EPa+eps);
plot(f,bb,'g')
axis([-20,20,-20,max(bb)+0.5])
grid
xlabel('f(Mhz)');
ylabel('Pa(f) (dBm/MHz)');
title('QAM信号功率谱密度图形');
subplot(2,3,6)
plot(t,Ir,'b');
axis([-T/16,T/16,min(Ir)-0.5,max(Ir)+0.5])
xlabel('t (ms)');
ylabel('Ir (V/KHz)');
title('I路解调信号滤波波形');
figure(3)
subplot(1,2,1)
tt=[0:dt:Na*L*dt];
hold on
for jj=1:Na*L:N-Na*L
plot(tt,Ir(jj:jj+Na*L)); %接收信号眼图
end
subplot(1,2,2)
semilogy(Eb_N0,Pe,'g');
eb_n0=10.^(Eb_N0/10);
hold on
plot(Eb_N0,0.5*erfc(sqrt(eb_n0/2)));
axis([0,14,1e-4,1])
xlabel('Eb/N0')
ylabel('Pe')
figure(4)
plot(I,Q,'.');
axis([-4,4,-4,4])
xlabel('I ');
ylabel('Q ');
title('16QAM星座图');
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