Abstract
This letter considers the multiple-input single-output (MISO) broadcast system for simultaneous wireless information and power transfer (SWIPT) using receiver power splitting and aims to optimize jointly the beamforming vectors and the power splitting ratios for minimizing the transmit power of the base station (BS) subject to the individual signal-to-interference-plus-noise ratio (SINR) and the energy-harvesting constraints at the mobile stations (MSs). However, the CSI is assumed imperfect but has a deterministic uncertainty region. Unlike existing attempts that resort to iterations guided by semidefinite relaxation (SDR), we propose a reverse convex nonsmooth optimization algorithm, which provides the near-optimal rank-one solution.
Highlights
T HE CONTINUOUS efforts to tackle the challenge of battery-limited mobile communications have recently given rise to the concept of simultaneous wireless information and power transfer (SWIPT) and have since opened up numerous new opportunities
Later in [6], the results were extended to cope with the case of imperfect channel state information (CSI), via a highly complex suboptimal two-step optimization process, which relies on alternatively solving semi-definite relaxation (SDR) problems with a K -dimensional search
We have shown that the penalty function method yields a more reliable and better solution
Summary
T HE CONTINUOUS efforts to tackle the challenge of battery-limited mobile communications have recently given rise to the concept of simultaneous wireless information and power transfer (SWIPT) and have since opened up numerous new opportunities. As an example, [1] characterized the rate-energy regions for multiple-input multiple-output (MIMO) broadcast systems for SWIPT with separated and colocated information and energy receivers. Other recent examples include the SWIPT work for orthogonal frequency-division multiplexing (OFDM) systems [2], frequency-selective channels [3] and multiuser scenarios, such as the interference channel, the relay channel [4], multicasting, and the broadcast channels [5]. The broadcast channel is a typical scenario of great interest, where the base station (BS) communicates with several mobile stations (MSs). The joint optimization problem of power splitting ratios and beamforming was studied in [5] for multiple-input single-output (MISO) SWIPT broadcast systems assuming perfect channel state information (CSI) at the BS. Later in [6], the results were extended to cope with the case of imperfect CSI, via a highly complex suboptimal two-step optimization process, which relies on alternatively solving semi-definite relaxation (SDR) problems with a K -dimensional search (where K denotes the number of users in the broadcast system)
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