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ÏÂÃæÊÇдµÄÒ»¶ÎUCA ROOT-MUSIC³ÌÐò£¬µ«ÊÇÔËÐнá¹û²»¶Ô£¬²»ÊÇÉèÖõÄ[20,50]¡£Í¬ÑùÊDZ¾³ÌÐòµÄÔëÉù×ӿռ䣬ÓÃÆ×·åËÑË÷µÄMUSIC¾ÍÊǶԵ쬵«ÊÇÓÃROOT-MUSIC¾Í²»¶Ô¡£Ó¦¸Ã¾ÍÊÇroot-musicÄǶγÌÐòÓÐ´í£¬µ«ÊÇ×Ô¼º²éÒ²²é²»³öÀ´´íÎó£¬Çë¸÷λ´óÏÀ°ï°ï棬·Ç³£¸Ðл£¡

sig_num = 1000;%%ÐźŵĿìÅÄÊý
snr=10;
rou=0;
x1=randint(sig_num,1,4);%²úÉúsig_sum*1µÄ¾ØÕó£¬ÊýÖµÔÚ0-3Ö®¼ä
x2=randint(sig_num,1,4);
x3=randint(sig_num,1,4);
x222=rou*x1+sqrt(1-(abs(rou))^2)*x3;%²úÉúÏà¹ØµÄÁ½Â·ÐźÅ
x2=round(x222);
for i=1:sig_num
    if x2(i)>=4
        x2(i)=3;
    elseif x2(i)<=0
        x2(i)=0;
    end
end
y1=dmod(x1,1,0.1,4,'psk',4);
y1=y1(1:sig_num);
y2=dmod(x2,1,0.1,4,'psk',4);
y2=y2(1:sig_num);
x=[y1';y2'];
s=x;
q=2;
p=12;%ÖÇÄÜÌìÏßÕóÔªÊý
fc=10.7*10^6;
lemda=3*10^8/fc;
banjing=20;
jh=pi./180;
k0=2*pi/lemda;
h=ceil(k0*banjing);
P=2*h+1;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%¾ùÔÈÔ²Õóת»¯Îª¾ùÔÈÏßÕó
alpha=[90,90];
theta=[20,50];
kesei=2*pi*banjing./lemda;%%
j=sqrt(-1);
n=[0:  (p-1)]';
gama=2*pi*n/p;
for i=1:q
    for n=0:  (p-1)
        a(n+1,i)=exp(j*kesei*sin(theta(i)*jh)*cos(alpha(i)*jh-gama(n+1)));
    end
end
x11=a*s;
vn=var(x11.')./(10^(snr/10));
n11=randn(p,sig_num)+j*randn(p,sig_num);
a1=(vn./var(n11.'));
b1=((n11.'-ones(size(n11,2),1)*mean(n11.'))).';
for i=1:p
    c1(i, : )=a1(i)*b1(i, : );
end
xn=x11+c1;
for i=-h:h
cv1(i+h+1)=j^(-abs(i));
end
cv=diag(cv1);
for m=-h:h
    for i=0:p-1
        w(i+1,m+h+1)=exp(-j*m*gama(i+1));
    end
end
V=1./sqrt(p)*w;
Fe=cv*V';
for i=-h:h
    alph(i+h+1)=2*pi*i/P;
end
for i=-h:h
    for m=-h:h
        v(m+h+1,i+h+1)=exp(j*2*pi*i*m./P);
    end
end
W=(1/sqrt(P))*v;
Fr=W'*Fe;
rx=xn*xn'./sig_num;
ry=Fr*rx*Fr';
r=real(ry);
% r=Fe*rx*Fe';

[u,sig,v]=svd(r);%%svdÆæÒìÖµ·Ö½â£¬ÌØÕ÷Öµ½µÐòÅÅÁÐ
  signalspace=u(:,q);
noisespace=u(:,q+1:7);
% vv=conj(noisespace)*noisespace';
UU=noisespace*noisespace.';

%%%%%%root-music%%%%%%%%%%%%%%%%%

J1=besselj(1:h,k0*banjing*sin(90*jh));
J11=diag([fliplr(J1),besselj(0,k0*banjing*sin(90*jh)),J1]);

Q=J11*W*UU*W'*J11;

num1=1;
num2=1;
A1(1,1: P-1)=0;
A2(1,1: P-1)=0;
for l=P-1:-1:1
    j=P;
    jj=j-l;
    for n=1:jj
        i=j-l;
        A1(1,num1)=A1(1,num1)+Q(i,j);
        A2(1,num2)=A2(1,num2)+Q(j,i);
        j=j-1;
        j;
    end
    num1=num1+1;
    num2=num2+1;
end
A1;
A2;
A=[A1, trace(Q),fliplr(A2)];
ra=roots([A]);
rb=ra(abs(ra)<1);
[dumm,I]=sort(abs(abs(rb)-1));
w=angle(rb(I(1:q)));
fi=-w/jh

[ Last edited by Ó°ÔÂË®À½ on 2013-7-2 at 21:53 ]
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