?? sim_8psk.m
字號:
function [p]=sim_8psk(snr_in_dB)
E=1;
SNR=exp(snr_in_dB*log(10)/10); %信噪比
sgma=E/sqrt(2*SNR); %噪聲的標(biāo)準(zhǔn)偏差
M=10000; %碼元數(shù)
L=32; %每個碼元采樣點(diǎn)數(shù)
N=M*L; %采樣點(diǎn)數(shù)
Rb=2; %碼速率
Ts=1/Rb; %碼元間隔
dt=Ts/L; %時域采樣間隔
df=1/(N*dt); %頻域采樣間隔
d=16; %半個碼元采樣點(diǎn)數(shù)
T=N*dt; %截短時寬
Bs=N*df/2; %頻帶寬度
t=[-T/2+dt/2:dt:T/2]; %時域坐標(biāo)
t1=[-T/2+dt/2:32*dt:T/2]; %時域坐標(biāo)
f=[-Bs+df/2:df:Bs]; %頻域坐標(biāo)
alpha=0.5; %滾降系數(shù)
g1=sin(pi*t/Ts)./(pi*t/Ts);
g2=cos(alpha*pi*t/Ts)./(1-(2*alpha*t/Ts).^2);
g=g1.*g2;
G=sqrt(t2f(g,dt)); %發(fā)送和接收濾波器頻譜
%Cf = 1;
Cf=1-0.5*exp(-2*i*pi*f*d); %信道傳輸函數(shù)
Gf=G.^2.*Cf; %系統(tǒng)總的頻譜
s000=[1 0];
s001=[cos(pi/4) sin(pi/4)];
s011=[0 1];
s010=[cos(3*pi/4) sin(3*pi/4)];
s110=[-1 0];
s111=[cos(5*pi/4) sin(5*pi/4)];
s101=[0 -1];
s100=[cos(7*pi/4) sin(7*pi/4)];
%% 產(chǎn)生序列
c3 = (sign(randn(1,M))+1)/2;
c2 = (sign(randn(1,M))+1)/2;
c1 = (sign(randn(1,M))+1)/2;
for ii = 1:M
if((c1(ii)==0)&(c2(ii)==0)&(c3(ii)==0)),
a(ii)=s000(1);
b(ii)=s000(2);
elseif((c1(ii)==0)&(c2(ii)==0)&(c3(ii)==1)),
a(ii)=s001(1);
b(ii)=s001(2);
elseif((c1(ii)==0)&(c2(ii)==1)&(c3(ii)==0)),
a(ii)=s010(1);
b(ii)=s010(2);
elseif((c1(ii)==0)&(c2(ii)==1)&(c3(ii)==1)),
a(ii)=s011(1);
b(ii)=s011(2);
elseif((c1(ii)==1)&(c2(ii)==0)&(c3(ii)==0)),
a(ii)=s100(1);
b(ii)=s100(2);
elseif((c1(ii)==1)&(c2(ii)==0)&(c3(ii)==1)),
a(ii)=s101(1);
b(ii)=s101(2);
elseif((c1(ii)==1)&(c2(ii)==1)&(c3(ii)==0)),
a(ii)=s110(1);
b(ii)=s110(2);
else
a(ii)=s111(1);
b(ii)=s111(2);
end;
end
%% a路經(jīng)過發(fā)送端的成型濾波器和信道
imp=zeros(1,N);
imp(L/2:L:N)=a/dt;
S=t2f(imp,dt).*Gf;
s=f2t(S,dt);
s1=zeros(1,N); %此段程序?qū)⒔?jīng)傅立葉變換得到的數(shù)字序列
s1(N/2+1:N)=s(1:N/2);%在中軸反轉(zhuǎn),如111-1-11,經(jīng)變換變成-1-11111
s1(1:N/2)=s(N/2+1:N);%因此應(yīng)把它反過來,這主要是由
s1=real(s1); %f2t和t2f函數(shù)引起的.
gr=s1+sgma*randn(1,N); %信號加噪聲,實(shí)現(xiàn)SNR
gr1=gr(16:32:N); %取每個碼元中間的一個樣本
%% b路經(jīng)過發(fā)送端的成型濾波器和信道
imp=zeros(1,N);
imp(L/2:L:N)=b/dt;
S=t2f(imp,dt).*Gf;
s=f2t(S,dt);
s1=zeros(1,N); %此段程序?qū)⒔?jīng)傅立葉變換得到的數(shù)字序列
s1(N/2+1:N)=s(1:N/2);%在中軸反轉(zhuǎn),如111-1-11,經(jīng)變換變成-1-11111
s1(1:N/2)=s(N/2+1:N);%因此應(yīng)把它反過來,這主要是由
s1=real(s1); %f2t和t2f函數(shù)引起的.
gr=s1+sgma*randn(1,N); %信號加噪聲,實(shí)現(xiàn)SNR
gr2=gr(16:32:N); %取每個碼元中間的一個樣本
%% 判決和誤碼概率的計算
numofbiterror = 0;
for ii = 1:M
r = [gr1(ii) gr2(ii)];
c000=dot(r,s000);
c001=dot(r,s001);
c010=dot(r,s010);
c011=dot(r,s011);
c100=dot(r,s100);
c101=dot(r,s101);
c110=dot(r,s110);
c111=dot(r,s111);
c_max=max([c000 c001 c010 c011 c100 c101 c110 c111]);
if(c000==c_max),
decis1=0;decis2=0;decis3=0;
elseif(c001==c_max),
decis1=0;decis2=0;decis3=1;
elseif(c010==c_max),
decis1=0;decis2=1;decis3=0;
elseif(c011==c_max),
decis1=0;decis2=1;decis3=1;
elseif(c100==c_max),
decis1=1;decis2=0;decis3=0;
elseif(c101==c_max),
decis1=1;decis2=0;decis3=1;
elseif(c110==c_max),
decis1=1;decis2=1;decis3=0;
else
decis1=1;decis2=1;decis3=1;
end;
if(decis1~=c1(ii)),
numofbiterror=numofbiterror+1;
end;
if(decis2~=c2(ii)),
numofbiterror=numofbiterror+1;
end;
if(decis3~=c3(ii)),
numofbiterror=numofbiterror+1;
end;
end
p=numofbiterror/(3*M);
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