This paper investigates simultaneous wireless information and power transfer in multiple-input-multiple-output system consisting of multiple multi-antenna eavesdroppers. In the case that the channel state information of the eavesdroppers can not be accurately obtained, the objective is to maximize the worst-case secrecy energy efficiency by jointly designing the beamforming matrix, artificial noise covariance matrix and power splitting ratio subject to transmit power constraint and energy harvest constraint. Based on fractional theory, the original non-convex problem is transformed into an equivalent optimization problem in subtractive form. By means of novel equivalent transformation, the problem of coupling between multiple optimization variables is solved and then the alternating optimization is avoided. With the aid of S-procedure and first order Taylor series expansion, the non-convex problem is transformed into a convex one. Based on Dinkelbach method, a two-level optimization iterative algorithm is proposed and simulation results are provided to show the effectiveness and convergence of the proposed algorithm.
YANG Guangyu, QIU Hongbing
. Robust Optimization for Energy Efficiency for
Secrecy MIMO SWIPT Systems[J]. Journal of Shanghai Jiaotong University, 2020
, 54(4)
: 369
-375
.
DOI: 10.16183/j.cnki.jsjtu.2020.04.005
[1]CHEN X, NG D, CHEN H. Secrecy wireless information and power transfer: Challenges and opportunities[J]. IEEE Wireless Communications, 2016, 23(2): 54-61.
[2]CHU Z, ZHU Z, HUSSEIN J. Robust optimization for AN-aided transmission and power splitting for secure MISO SWIPT system[J]. IEEE Communications Letters, 2016, 20(8): 1571-1574.
[3]SHI Q, XU W, WU J, et al. Secure beamforming for MIMO broadcasting with wireless information and power transfer[J]. IEEE Transactions on Wireless Communications, 2015, 14(5): 2841-2853.
[4]WANG S, WANG B. Robust secure transmit design in MIMO channels with simultaneous wireless information and power transfer[J]. IEEE Signal Processing Letters, 2015, 22(11): 2147-2151.
[5]LIU L, ZHANG R, CHUA K. Secrecy wireless information and power transfer with MISO beamforming[J]. IEEE Transactions on Signal Processing, 2014, 62(7): 1850-1863.
[6]CHU Z, ZHU Z, JOHNSTON M, et al. Simultaneous wireless information power transfer for MISO secrecy channel[J]. IEEE Transactions on Vehicular Technology, 2016, 65(9): 6913-6925.
[7]WANG Y, SUN R, WANG X. Transceiver design to maximize the weighted sum secrecy rate in full-duplex SWIPT systems[J]. IEEE Signal Processing Letters, 2016, 23(6): 883-887.
[8]NGHIA N, TUAN H, DUONG T, et al. MIMO Beamforming for secure and energy-efficient wireless communication [J]. IEEE Signal Processing Letters, 2017, 24(2): 236-239.
[9]OUYANG J, LIN M, ZOU Y, et al. Secrecy energy efficiency maximization in cognitive radio networks[J]. IEEE Access, 2017, 5: 2641-2649.
[10]ZHANG H, HUANG Y, LI S, et al. Energy-efficient precoder design for MIMO wiretap channels[J]. IEEE Communications Letters, 2014, 18(9): 1559-1562.
[11]MEI W, CHEN Z, FANG J. Artificial noise aided energy efficiency optimization in MIMOME system with SWIPT[J]. IEEE Communications Letters, 2017, 21(8): 1795-1798.
[12]LI Q, MA W. Spatially selective artificial-noise aided transmit optimization for MISO multi-eves secrecy rate maximization[J]. IEEE Transactions on Signal Processing, 2013, 61(10): 2704-2717.
[13]HUANG J, SWINDLEHURST A. Robust secure transmission in MISO channels based on worst-case optimization[J]. IEEE Transactions on Signal Processing, 2012, 60(4): 1696-1707.
[14]DINKELBACH W. On nonlinear fractional programming[J]. Management Science, 1967, 13(7): 492-498.
[15]TANG J, SO D, ZHAO N, et al. Energy efficiency optimization with SWIPT in MIMO broadcast channels for internet of things[J]. IEEE Internet of Things Journal, 2018, 5(4): 2605-2619.
[16]LUO Z, STURM J, ZHANG S. Multivariate nonnegative quadratic mappings[J]. SIAM Journal on Optimization, 2004, 14(4): 1140-1162.
[17]BOYD S, VANDENBERGHE L. Convex optimization[M]. Cambridge: Cambridge University Press, 2009.
[18]LI C G, LI Y S, SONG K, et al. Energy efficient design for multiuser downlink energy and uplink information transfer in 5G[J]. Science China Information Sciences, 2016, 59(2): 1-8.