NDLI: Algorithms for Secrecy Guarantee With Null Space Beamforming in Two-Way Relay Networks

Content Provider	IEEE Xplore Digital Library
Author	Yunchuan Yang Cong Sun Hui Zhao Hang Long Wenbo Wang
Copyright Year	1991
Abstract	In this paper, we consider a two-way relay network with two sources and multiple cooperative relays in the presence of an eavesdropper. To guarantee the secrecy, a null space beamforming scheme is applied, where the relay beamforming vector lies in the nullspace of the equivalent channel of relay link from two sources to the eavesdropper. Our goal is to obtain the optimal beamforming vector as well as two sources' transmit power subject to various criteria. We propose three different approaches and solve them in an alternating iterative way, where subproblems for solving beamforming and sources' power are formulated in each iteration, respectively. First, we minimize the total transmit power under secrecy rate constraint at two sources. For beamforming vector subproblem, two different methods, semi-definite programming (SDP) and sequential quadratic programming (SQP), are proposed, where we analyze and verify SQP has lower complexity than SDP. Second, we maximize the secrecy sum rate, subject to total transmit power constraint. The beamforming vector subproblem is equivalent to a generalized Rayleigh quotient problem with rank constraint. Third, the problem of minimum per-user secrecy rate maximization under the total power constraint is investigated for user fairness. An iterative procedure utilizing the SDP with bisection search method is proposed to solve beamforming subproblem. In each approach the subproblem with two sources' power is formulated as a single variable problem and solved by Newton's method with line search. Simulation results demonstrate the validity of proposed approaches and algorithms for both symmetric and asymmetric scenarios.
Sponsorship	IEEE Signal Processing Society
Starting Page	2111
Ending Page	2126
Page Count	16
File Size	4215668
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Relays Array signal processing Vectors Null space Wireless communication Signal processing algorithms Linear programming sequential quadratic programming Null space beamforming physical layer security semi-definite programming
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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