Journal
IEEE TRANSACTIONS ON INFORMATION FORENSICS AND SECURITY
Volume 13, Issue 10, Pages 2628-2638Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIFS.2018.2825944
Keywords
Untrusted two-way relay (UTWR); multipleinput multiple-output (MIMO); security; precoding; perfect and imperfect channel state information
Funding
- National Natural Science Foundation of China [61671160]
- Guangdong Natural Science Foundation [2014A030310374]
- Department of Education of Guangdong Province [2016KZDXM050]
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Physical-layer secure is an important issue for untrusted relay systems. In this paper, we investigate secure precoding design for non-regenerative multiple-input multiple-output untrusted two-way relay systems, where artificial noise (AN) is applied at the source and the relay is untrusted. We aim to maximize the secrecy sum rate by jointly designing the source's signal and AN precoders and the relay's precoder, under the sources and relay transmit power constraints. We consider two scenarios that perfect and imperfect channel state information of all the channels is available. For the former, we convert the secure precoding problem to a difference of convex programming and develop a constrained concave convex procedure based iterative algorithm which can obtain a local optimal solution. We also provide asymptotic analysis on the maximum secrecy sum rate when the relay transmit power approaches infinity, and propose alternating optimization method to compute asymptotic optimal precoders. For the latter, we model the channel uncertainties by using worst-case criterion and propose the weighted minimum mean square error based method to solve the robust secure precoding problem. Numerical simulations are presented to show the effectiveness of our proposed schemes.
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