📄 msk.m
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%整个程序
n=10000;
count=100;
N=n/count; %N=100
r=rand(1,N-1); % 产生一个行向量,共9999个
for i=1:N-1,
if (r(i)>=0.5)
r(i)=1;
else r(i)=-1;
end;
end; %将这9999个数整数化为 1,-1
for i=1:n-count % 取9900个
R(i)=r(((i-1)-mod((i-1),count))/count+1);
end; %
a(1)=1;
for i=2:N
if r(i-1)==1
a(i)=-a(i-1);
else a(i)=a(i-1);
end;
end;
for i=1:n
A(i)=a(((i-1)-mod((i-1),count))/count+1);
end;
for i=1:N
if(mod(i,2))
l(i)=a(i);
l(i+1)=a(i);
else q(i)=a(i);
q(i-1)=a(i);
end;
end;
for i=1:n
I(i)=l(((i-1)-mod((i-1),count))/count+1);
end;
for i=1:n
Q(i)=q(((i-1)-mod((i-1),count))/count+1);
end;
ts=0.0001;
Ts=ts*count;
fs=1/ts;
fc=5/(2*Ts);
t0=Ts*N-ts;
f=1/(4*Ts);
df=0.3;
tI=[-Ts:ts:t0-Ts];
tQ=[0:ts:t0];
tQ_R=[0:ts:t0-Ts];
c=2*pi*f;
u=I.*cos(c*tI);
v=Q.*sin(c*tQ);
U=u.*cos(2*pi*fc*tI);
V=v.*sin(2*pi*fc*tQ);
for i=count+1:n
W(i)=U(i)+V(i-count);
end;
% figure
% subplot(4,1,1);
% plot(tQ_R,R,'k');axis([-Ts,0.1,-2,2]);
% title('数字信号');
% grid on
% subplot(4,1,2);
% plot(tI,A,'k');axis([-Ts,0.1,-2,2]);
% title('差分编码后的信号');
% grid on
% subplot(4,1,3);
% plot(tI,I,'k');axis([-Ts,0.1,-2,2]);
% title('同相调制信号I');
% grid on
%
% subplot(4,1,4);
% plot(tQ,Q,'k');axis([-Ts,0.1,-2,2]);
% title('正交调制信号Q');
% grid on
% figure
% subplot(3,1,1);
% plot(tI,U,'k');axis([-Ts,0.1,-2,2]);
% title('Icos(wct)cos(wt)');grid on
% subplot(3,1,2);
% plot(tQ,V,'k');axis([-Ts,0.1,-2,2]);
% title('Qsin(wct)sin(wt)');grid on
%
% subplot(3,1,3);
% plot(tI,W,'k');axis([-Ts,0.1,-2,2]);
% title('MSK信号');grid on
noise=0*randn(1,n);
S=W+noise;
[S1,s,df1]=fftseq(S,ts,df);
S1=S1/fs;
f=[0:df1:df1*(length(s)-1)]-fs/2;
n_cutoff=100;
H=zeros(size(f));
for i=floor((fc-n_cutoff)/df1):floor((fc+n_cutoff)/df1)
H(i)=1;
end;
for i=(65536-floor((fc-n_cutoff)/df1)):-1:(65536-floor((fc+n_cutoff)/df1)),
H(i)=1;
end;
DEM=S1.*H;
dem=real(ifft(DEM))*fs;
dm=dem(1:length(tQ));
ds1=dm.*cos(2*pi*fc*tQ+pi*tQ/(2*Ts));
ds2=dm.*cos(2*pi*fc*tQ-pi*tQ/(2*Ts));
[DW1,ww,df1]=fftseq(ds1,ts,df);
[DW2,ww,df1]=fftseq(ds2,ts,df);
DW1=DW1/fs;
DW2=DW2/fs;
n_cutoff1=floor(200/df1);
f1=[0:df1:df1*(length(ww)-1)]-fs/2;
H1=zeros(size(f1));
H1(1:n_cutoff1)=2*ones(1,n_cutoff1);
H1(length(f1)-n_cutoff1+1:length(f1))=2*ones(1,n_cutoff1);
DEM1=H1.*DW1;
DEM2=H1.*DW2;
s1=real(ifft(DEM1))*fs;
s11=s1(1:length(tQ));
s2=real(ifft(DEM2))*fs;
s22=s2(1:length(tQ));
for i=1:n
if (s11(i)>=0.95)||(s11(i)<=-0.95),sa(i)=-1;
else sa(i)=1;
end;
end;
for i=1:n
if (s22(i)>=0.95)||(s22(i)<=-0.95),sb(i)=1;
else sb(i)=-1;
end;
end;
for i=1:n
if (v(i)>0),sa1(i)=-1;
else sa1(i)=1;
end;
end;
figure
plot(sa)
figure
plot(sa1)
for i=0:N-1,
u1(i+1)=sa(i*count+count/2);
u2(i+1)=sb(i*count+count/2);
end;
for j=1:N,
if (mod(j,2)==0) out(j)=u2(j);
else out(j)=u1(j);
end;
end;
for i=1:n,
OUT(i)=out(((i-1)-mod((i-1),count))/count+1);
end;
figure
subplot(3,1,1);
plot(tQ,S,'k');axis([0,0.1,-2,2]);
title(' 加噪声后的信号S');axis([0,0.1,-2,2]);
grid on
subplot(3,1,2);
plot(tQ,dm,'k');
title(' 经过带通后的信号dm');axis([0,0.1,-2,2]);
grid on
subplot(3,1,3);
plot(tQ,ds1,'k');
title(' 乘以载波后的信号ds1');axis([0,0.1,-2,2]);
grid on
figure
subplot(3,1,1);
plot(tQ,ds2,'k');
title(' 乘以载波后的信号ds2');axis([0,0.1,-2,2]);
grid on
subplot(3,1,2);
plot(tQ,s11,'k');
title(' 经过低通后的信号s11');axis([0,0.1,-2,2]);
grid on
subplot(3,1,3);
plot(tQ,s22,'k');
title(' 经过低通后的信号s22');axis([0,0.1,-2,2]);
grid on
figure
subplot(3,1,1);
plot(f,fftshift(abs(H)),'k');
title('带通滤波器H');grid on
subplot(3,1,2);
plot(f1,fftshift(abs(H1)),'k');
title('低通滤波器H1');grid on
subplot(3,1,3);
plot(tQ,sa,'k');
title(' 经过低通后的信号sa');axis([0,0.1,-2,2]);
grid on
figure
subplot(3,1,1);
plot(tQ,sb,'k');
title(' 经过低通后的信号sb');axis([0,0.1,-2,2]);
grid on
subplot(3,1,2);
plot(tQ_R,R,'k');axis([0,1,-2,2]);
title('调制信号');grid on
subplot(3,1,3);
plot(tQ_R,OUT(count+1:n),'k');
title('解调信号');axis([0,1,-2,2]);
grid on
count1=0;
for i=1:N-1,
if(r(i)~=out(i+1))
count1=count1+1;
end;
end;
Pe=count1/(N-1)*100;
sprintf('MSK错误概率为:%g%%',Pe)
%频率间隔的图
n=10000;
count=100;
N=n/count;
r=rand(1,N-1);
for i=1:N-1,
if (r(i)>=0.5)
r(i)=1;
else r(i)=-1;
end;
end;
r([1:10])=[1 -1 -1 1 1 1 -1 1 -1 -1];
for i=1:n-count,
R(i)=r(((i-1)-mod((i-1),count))/count+1);
end;
a(1)=1;
for i=2:N
if r(i-1)==1
a(i)=-a(i-1);
else a(i)=a(i-1);
end;
end;
for i=1:n
A(i)=a(((i-1)-mod((i-1),count))/count+1);
end;
for i=1:N
if(mod(i,2))
l(i)=a(i);
l(i+1)=a(i);
else q(i)=a(i);
q(i-1)=a(i);
end;
end;
for i=1:n
I(i)=l(((i-1)-mod((i-1),count))/count+1);
end;
for i=1:n
Q(i)=q(((i-1)-mod((i-1),count))/count+1);
end;
ts=0.0001;
Ts=ts*count;
fs=1/ts;
fc=3/(2*Ts);
t0=Ts*N-ts;
f=1/(4*Ts);
df=0.3;
tI=[-Ts:ts:t0-Ts];
tQ=[0:ts:t0];
tQ_R=[0:ts:t0-Ts];
c=2*pi*f;
u=I.*cos(c*tI);
v=Q.*sin(c*tQ);
U=u.*cos(2*pi*fc*tI);
V=v.*sin(2*pi*fc*tQ);
for i=count+1:n
W(i)=U(i)+V(i-count);
end;
figure
subplot(3,1,1);
plot(tQ_R,R,'k');axis([0,0.1,-2,2]);
title('数字信号');
grid on
subplot(3,1,2);
plot(tI,W,'k');axis([0,0.1,-2,2]);
title('MSK信号');
grid on
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