  We investigate the precoding, remote radio head (RRH) selection and signal
splitting in the simultaneous wireless information and power transferring
(SWIPT) cloud radio access networks \mbox{(C-RANs)}. The objective is to
minimize the power consumption of the SWIPT C-RAN. Different from the existing
literature, we consider the nonlinear fronthaul power consumption and the
multiple antenna RRHs. By switching off the unnecessary RRHs, the group
sparsity of the precoding coefficients is introduced, which indicates that the
precoding process and the RRH selection are coupled. In order to overcome these
issues, a group sparse precoding and signal splitting algorithm is proposed
based on the majorization-minimization framework, and the convergence behavior
is established. Numerical results are used to verify our proposed studies.
