I am regenerating the results of a paper published in IEEE transactions in Array signal processing where they used CVX to solve a convex optimization problem. They are minimizing the following function
among them,R^-1Is the known matrix of the input,T is hermitian toeplitz matrix, X is complex matrix.
I tried many ways to formulate this problem using CVX. none of them scceeded.
variable delta_k(sensor_num,1) ;
variable T(sensor_num,sensor_num) hermitian toeplitz ;
variable X(sensor_num,sensor_num) complex ;
[X , R_tlide_half ; R_tlide_half , T+diag(delta_k)] == hermitian_semidefinite(2*sensor_num);
T == hermitian_semidefinite(sensor_num);
But I obtain following error
Error using minimize (line 36)
Disciplined convex programming error:
Cannot minimize a(n) complex affine expression.
Error in CVX_fun(line 26)
minimize (trace(R_tlide_invT)+trace(R_tlide_invdiag(delta_k))+trace(X)) .
I dont know how to solve this. Can some one help?