  With the dense deployment of small cell networks, low-cost backhaul schemes
for small cell base stations (SBSs) have attracted great attentions.
Self-backhaul using cellular communication technology is considered as a
promising solution. Although some excellent works have been done on
self-backhaul in small cell networks, most of them do not consider the recent
advances of full-duplex (FD) and massive multiple-input and multiple-output
(MIMO) technologies. In this paper, we propose a self-backhaul scheme for small
cell networks by combining FD and massive MIMO technologies. In our proposed
scheme, the macro base station (MBS) is equipped with massive MIMO antennas,
and the SBSs have the FD communication ability. By treating the SBSs as
\textit{special} macro users, we can achieve the simultaneous transmissions of
the access link of users and the backhaul link of SBSs in the same frequency.
Furthermore, considering the existence of inter-tier and intra-tier
interference, we formulate the power allocation problem of the MBS and SBSs as
an optimization problem. Because the formulated power allocation problem is a
non-convex problem, we transform the original problem into a difference of
convex program (DCP) by successive convex approximation method (SCAM) and
variable transformation, and then solve it using a constrained concave convex
procedure (CCCP) based iterative algorithm. Finally, extensive simulations are
conducted with different system configurations to verify the effectiveness of
the proposed scheme.
