Cvx norm transformation problem

I want to solve a problem like this:
max SR
s.t. ||HWH’||+||HVH’||>=constant
the SR is convex,I want to use cvx to solve it ,but the first constrict of the (norm>=constant ) is not distinguished,i already tried some ways to transform the constrict to other expression,but it didn’t work.Could you guys give me some advice,thanks a lot.

What you want is not possible using CVX.