Considering the adoption of information and energy simultaneous transmission in wireless networks to improve the performance of wireless relay systems， a bidirectional transmission full-duplex relay system with self-energy recycling based on wireless radio frequency network was proposed by using Simultaneous Wireless Information and Power Transmission （SWIPT） technology. It is a new attempt to apply SWIPT in bidirectional full-duplex relay system. The energy-constrained destination node used the energy harvested from the relay and the loop channel to send feedback information， and the logical structure of the full-duplex relay system and the physical structure of the energy-constrained destination node were given. Then， the system performance was described by using the minimization of the system transmit power sum as the optimization target， the power allocation scheme was used for information decoding and energy harvest， the semi-definite programming， rank relaxation and Lagrange methods were used to transform the original non-convex optimization equation into a solvable convex optimization problem， and the solution of the problem was found. The relay transmission power， transmit beamforming vector and power allocation ratio were jointly optimized. Finally， the proposed system was compared with the traditional bidirectional transmission relay system by experimental simulator. The results verify that the self-energy recycling can not only eliminate self-interference， but also significantly optimize the system transmission power sum， and reveal that the proposed system has higher performance gain than the traditional bidirectional transmission system due to the combination of SWIPT technology and full-duplex relay system.