How to give conditions on transformations of variables?

Nonconvex
1

Hi,
I am new to CVX, here I want min-max the H where R is given to us, but the subject to conditions here are to be imposed on ifft of H ( Let ifft(H) = h). We want all coefficients of h to be greater than 0 and its submission to be one.

cvx_begin
variable H(4096)
minimize(max(abs(H- R)))
subject to
h>=0;
dot(ones,h)==1;
cvx_end

How to impose that conditions here?

2

Have you proven your problem is convex? It doesn’t seem likely to be to me.