The MIMO Wiretap Channel Decomposed
| Autor: | Anatoly Khina, Ashish Khisti, Yuval Kochman |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
FOS: Computer and information sciences
021110 strategic defence & security studies Computer science Computer Science - Information Theory Information Theory (cs.IT) Gaussian MIMO 0211 other engineering and technologies 020206 networking & telecommunications Data_CODINGANDINFORMATIONTHEORY 02 engineering and technology Library and Information Sciences Topology Computer Science Applications Matrix decomposition symbols.namesake Channel capacity Single antenna interference cancellation 0202 electrical engineering electronic engineering information engineering symbols Computer Science::Cryptography and Security Computer Science::Information Theory Information Systems Communication channel |
| Zdroj: | IEEE Transactions on Information Theory. 64:1046-1063 |
| ISSN: | 1557-9654 0018-9448 |
| Popis: | The problem of sending a secret message over the Gaussian multiple-input multiple-output (MIMO) wiretap channel is studied. While the capacity of this channel is known, it is not clear how to construct optimal coding schemes that achieve this capacity. In this work, we use linear operations along with successive interference cancellation to attain effective parallel single-antenna wiretap channels. By using independent scalar Gaussian wiretap codebooks over the resulting parallel channels, the capacity of the MIMO wiretap channel is achieved. The derivation of the schemes is based upon joint triangularization of the channel matrices. We find that the same technique can be used to re-derive capacity expressions for the MIMO wiretap channel in a way that is simple and closely connected to a transmission scheme. This technique allows to extend the previously proven strong security for scalar Gaussian channels to the MIMO case. We further consider the problem of transmitting confidential messages over a two-user broadcast MIMO channel. For that problem, we find that derivation of both the capacity and a transmission scheme is a direct corollary of the proposed analysis for the MIMO wiretap channel. Comment: Submitted to IEEE Transactions on Information Theory Aug. 2015; revised Oct. 2016 |
| Databáze: | OpenAIRE |
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