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Adaptive power splitting and power allocation can provide a substantial performance gain in energy-hungry multi-antenna relay wireless networks when perfect channel state information (CSI) is available at relay. In the case when only imperfect CSI is available, the performance may significantly degrade, and robust power-splitting and power-allocation schemes are developed to save this kind of degradation. In this paper, we investigate the energy-constrained multi-antenna relay system, in which one source communicates with one destination (S-D) with the aid of an energy constrained relay. We focus on power splitting (PS) protocol to enable simultaneous energy harvesting and information forwarding, and power allocation (PA) to support both the battery power and harvested energy. The optimization problem is established under partial CSI conditions. The objective is to maximize the transmission rate of S-D pair by jointly optimizing PS and PA. Through mathematical analysis, the PS and PA are obtained. Introduction Facing energy-constrained relay networks [1], simultaneous wireless information and power transfer (SWIPT) has been a popular research spot [2,3,4], in which the energy-hungry relay harvests energy of radio frequency signals from the transmitters and performs information forwarding by using the harvested energy and its own battery energy. Chen et al. in [3] study the distributed power splitting (PS) scheme in relay interference channels. Our previous work [4] considers PS and beaming vectors optimization in multi-antenna cognitive relay networks. However, these work focus on SWIPT under perfect CSI conditions. For practical communication systems, the perfect CSI at the transmitter side is often unavailable. Work [5] develops robust power allocation with error analysis for multicarrier amplify-and-forward relay systems. But, it does not consider the SWIPT and multi-antenna functions. In this paper, we investigate robust PS and PA for SWIPT-enabled multi-antenna relay networks with only imperfect CSI available. Notations: CN means the complex Gaussian distribution, [ ] x E stands for the expectation of a variable x , and M N  C is the space of M N  -dimensional complex matrices. Operators ( )  , ( )  and  denote the transpose, conjugate transpose and Frobenius norm, respectively.. System Model and Problem Formulation As shown in Fig. 1, this paper considers a multi-antenna relay system, in which one source transmits data to the destination with the aid of an energy-constrained relay. The 302 Advances in Computer Science Research (ACRS), volume 54 International Conference on Computer Networks and Communication Technology (CNCT2016)

Power Splitting and Power Allocation for Energy Harvesting Multi-antenna Relay Networks in the Presence of CSI Errors