Well-rounded lattices for coset coding in MIMO wiretap channels

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Journal Title
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Volume Title
Conference article in proceedings
Date
2017-03-14
Major/Subject
Mcode
Degree programme
Language
en
Pages
6
289-294
Series
26th International Telecommunication Networks and Applications Conference, ITNAC 2016
Abstract
The concept of well-rounded lattices has recently found important applications in the setting of a fading single-input single-output (SISO) wiretap channel. It has been shown that, under this setup, the property of being well-rounded is critical for minimizing the eavesdropper's probability of correct decoding in lower SNR regimes. The superior performance of coset codes constructed from well-rounded lattices has been illustrated in several simulations. In the present article, this work is extended to fading multiple-input multiple-output (MIMO) wiretap channels, and similar design criteria as in the SISO case are derived. Further, explicit coset codes for Rayleigh fading MIMO wiretap channels are designed. In particular, it is shown through extensive simulations that sublattices of the well-known Alamouti code and Golden code which meet our design criteria perform better than scalar multiples of the code lattice for the same parameters.
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Citation
Gnilke, O W, Barreal Fernandez, A, Karrila, A, Tran Nguyen Thanh, H, Karpuk, D A & Hollanti, C 2017, Well-rounded lattices for coset coding in MIMO wiretap channels . in 26th International Telecommunication Networks and Applications Conference, ITNAC 2016 ., 7878824, IEEE, pp. 289-294, International Telecommunication Networks and Applications Conference, Dunedin, New Zealand, 07/12/2016 . https://doi.org/10.1109/ATNAC.2016.7878824