过载svm.m

信号过载情况下的SVM波束形成, 比其他常用的方法效果好很多.

close all;
clear all;
N=9;
M=8;
j=sqrt(-1);
len=100;
% rp.TNRdB=10;
% rp.INRdB=10;
% rp.mean_v  = 0; % mean of complex-valued AWGN
% rp.var_v   = 1; % variance of complex-valued AWGN
theta=[-80*pi/180,-60*pi/180,-40*pi/180,-20*pi/180,0*pi/180,10*pi/180,20*pi/180,45*pi/180,60*pi/180];
s0=2*(rand(1,len)>0.5)-1;
s1=2*(rand(1,len)>0.5)-1;
s2=2*(rand(1,len)>0.5)-1;
s3=2*(rand(1,len)>0.5)-1;
s4=2*(rand(1,len)>0.5)-1;
s5=2*(rand(1,len)>0.5)-1;
s6=2*(rand(1,len)>0.5)-1;
s7=2*(rand(1,len)>0.5)-1;
s8=2*(rand(1,len)>0.5)-1;
% t=0:0.01:0.2;
% x=rectpuls(t,1);
% for i=1:len
%     x_bpsk1((i-1)*20+1:i*20)=s0(1,i)*x(1:20);%基带信号
%     x_bpsk2((i-1)*20+1:i*20)=s1(1,i)*x(1:20);
% end
for i=1:len
   x_bpsk1(i)=sqrt(10.^(-5/10))*s0(i);
    x_bpsk2(i)=sqrt(10.^(6/10))*s1(i);
     x_bpsk3(i)=sqrt(10.^(5/10))*s2(i);
      x_bpsk4(i)=sqrt(10.^(-5/10))*s3(i); 
       x_bpsk5(i)=sqrt(10.^(10/10))*s4(i);
        x_bpsk6(i)=sqrt(10.^(-8/10))*s5(i);
         x_bpsk7(i)=sqrt(10.^(-5/10))*s6(i);
          x_bpsk8(i)=sqrt(10.^(2/10))*s7(i);
           x_bpsk9(i)=sqrt(10.^(5/10))*s8(i);
end
s=[x_bpsk1;x_bpsk2;x_bpsk3;x_bpsk4;x_bpsk5;x_bpsk6;x_bpsk7;x_bpsk8;x_bpsk9];
for i=1:M
    for k=1:N
        A1(i,k)=exp(-j*pi*(i-1)*sin(theta(k)));%array responce
    end
end

rp.mean_v  = 0; % mean of complex-valued AWGN
rp.var_v   = 1; % variance of complex-valued AWGN
vr = sqrt(rp.var_v/2) * randn(M,len) + rp.mean_v;
vi = sqrt(rp.var_v/2) * randn(M,len) + rp.mean_v;
v  = vr + j*vi;
X_nn=A1*s;
X=X_nn+v;
L=100;
a=zeros(1,L);
C=0.1;
y=s4;
% y=zeros(1,L);
% for i=1:L
%       y(i)=sign(real(X(1,i)));
% end
for i=1:L
    sum=0;
    for t=1:L
      
        sum=sum+a(t)*y(t)*X(:,i)'*X(:,t);
    end
    u=1/(X(:,i)'*X(:,i));
    a(i)=a(i)+u*(1-y(i)*sum);
    if a(i)<0
        a(i)=0;
    else if a(i)>C
            a(i)=C;
        end
    end
end

w=zeros(M,1);
i=1;
for i=1:L
   w=w+a(i)*y(i)*X(:,i);
end

sita1=[-90:2:90];
sita=sita1*pi/180;
G_sita=zeros(1,length(sita));
a_sita_i=zeros(M,length(sita));
for i=1:length(sita)
a_sita_i(:,i)=[1;exp(-j*pi*sin(sita(i))) ; exp(-j*2*pi*sin(sita(i))); exp(-j*3*pi*sin(sita(i))) ;exp(-j*4*pi*sin(sita(i))) ;exp(-j*5*pi*sin(sita(i))) ;exp(-j*6*pi*sin(sita(i))) ;exp(-j*7*pi*sin(sita(i)))];
G_sita(i)=a_sita_i(:,i)'*w;
end


figure;
plot(sita1,10*log10(abs(G_sita)));
grid on ;