An Error Probability Approach to MIMO Wiretap Channels

Abstract :

We consider MIMO (Multiple Input Multiple Output) wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve, and communication is done via MIMO channels. We suppose that Alice's strategy is to use a codebook which has a lattice structure, which then allows her to perform coset encoding. We analyze Eve's probability of correctly decoding the message Alice meant to Bob, and from minimizing this probability, we derive a code design criterion for MIMO lattice wiretap codes. The case of block fading channels is treated similarly, and fast fading channels are derived as a particular case. The Alamouti code is carefully studied as an illustration of the analysis provided.

Document type :
Journal articles
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https://hal.telecom-paristech.fr/hal-02286679
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Submitted on : Friday, September 13, 2019 - 4:01:59 PM
Last modification on : Thursday, October 17, 2019 - 12:36:59 PM

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  • HAL Id : hal-02286679, version 1

Citation

Jean-Claude Belfiore, Frédérique Oggier. An Error Probability Approach to MIMO Wiretap Channels. IEEE Transactions on Communications, 2013. ⟨hal-02286679⟩

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