How can i use cvx to solve this SDP?

I would pre-form the H_{ie} \Phi H_{ia} term, then enter the problem almost as written, except changing log2det to log_det/log(2). You will need to declare w as complex, and then ^H will just be ' , if that is indeed your intention. Of course, this presupposes you have read the CVX Users’ Guide to learn the basics of CVX.

thank, you
there exist “log_det” function in CVX users’ guide, whether you means using log_det function rather log2(det) function?

Sorry. That was a typo, which I just corrected. Use log_det(...)/log(2)

ok, thank you very much