如何使用MATLAB CVX解决此优化问题？
我使用以下代码来解决这个问题如何使用MATLAB CVX解决此优化问题？,matlab,optimization,convex-optimization,cvx,Matlab,Optimization,Convex Optimization,Cvx,我使用以下代码来解决这个问题 %System parameters: N = 2; K = 8; M = 4; C_l=4; H = [0.1185 0.2811; 0.3550 0.8224; 0.3260 0.9644; 0.5333 0.6083; 0.6871 0.2298; 0.2594 0.8361; 0.1309 0.2454; 0.4715 0.2111]; %(K,N) matrix A = [-1 1; 1 0]; %(N,N) integer matrix C = [0 -
%System parameters:
N = 2;
K = 8;
M = 4;
C_l=4;
H = [0.1185 0.2811; 0.3550 0.8224; 0.3260 0.9644; 0.5333 0.6083; 0.6871 0.2298; 0.2594 0.8361; 0.1309 0.2454; 0.4715 0.2111]; %(K,N) matrix
A = [-1 1; 1 0]; %(N,N) integer matrix
C = [0 -1 1 1; 0 -1 1 1; 0 1 -1 0; 0 1 -1 0; -1 0 1 -1; -1 0 1 -1; 1 0 0 -1; 1 0 0 -1]; %(N,M) integer matrix
P = 125*eye(M); %(M,M) diagonal matrix
P_u = 125*eye(K); %(K,K) diagonal matrix
S1 = [0.5623 0.5610 0.8769 0.6921 0.8645 0.8924 0.8373 0.8927]; %(1,K) vector
% I want to find matrix B with dimensions N*M that minimizes the difference
% between S2 and S1 vectors.
cvx_begin
variable B(N,M)
%calculate S2 from B and the other given inputs
for j=N:-1:1
d(j) = (B(j,:)*P*B(j,:)')/((2^(2*C_l))-(norm(A(j,:))^2));
end
D = diag(d);
for i=K:-1:1
V(i)=C(i,:)*P*B'*H(i,:)'*inv(1+H(i,:)*(A'*D*A+B*P*B')*H(i,:)');
sigma(i)=norm((V(i)*H(i,:)*B-C(i,:))*(P^(1/2)))^2+(V(i)^2)*(1+H(i,:)*A'*D*A*H(i,:)');
S2(i)=0.5*(log2((P_u(i,i))/(sigma(:,i))));
end
minimize(sum(S2-S1).^2)
subject to
for k=1:1:K
S2(k) >= S1(k);
end
cvx_end
Error using * (line 126)
Disciplined convex programming error:
Only scalar quadratic forms can be specified in CVX
.
Error in doOptimization3 (line 24)
V(i)=C(i,:)*P*B'*H(i,:)'*inv(1+H(i,:)*(A'*D*A+B*P*B')*H(i,:)');