Recently, I’m studying the beamforming using sdp. I tried to simulate the following optimization problem through SDP. But I failed. Can someone give me some advice on the simulation using CVX? Thank you very much!

\begin{equation}

\begin{split}

\mathop {\min }\limits_{{w_k}} & \sum\limits_{k = 1}^K {\left| {{w_k}} \right|_2^2} \

s.t.&;\frac{{\left| {w_k^H{h_k}} \right|*2^2}}{{\sum\limits*{j = 1,j \ne k}^K {\left| {w_j^H{h_k}} \right|_2^2} + \sigma _k^2}} \ge {\gamma _k}

\end{split}

\end{equation}