How to formulate the below expression using cvx:

min X
Ptot (X) :SINR(X)>=alpha
where Ptot=Tr((sigma^2HH^H + sigma^I(N))XX^H)
and Xis a N*N matrix

\min_{X,Y}P_{tot}(X) + \mu(Tr(\bar{Y})-\lambda_{max}(\bar{Y}))
where Ptot=Tr((sigma^2HH^H + sigma^I(N))XX^H)