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An Error Probability Approach to MIMO Wiretap Channels

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TLDR
In this article, the authors considered MIMO lattice wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve.
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.

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Journal ArticleDOI

A Survey on MIMO Transmission With Finite Input Signals: Technical Challenges, Advances, and Future Trends

TL;DR: In this article, the authors provide a comprehensive overview of MIMO transmission design with finite input signals and propose a unified framework for the design of low-complexity transmission schemes.
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On Secrecy Metrics for Physical Layer Security over Quasi-Static Fading Channels

TL;DR: The secrecy outage probability has two limitations from a practical point of view: it does not give any insight into the eavesdropper's decodability of confidential messages; and it cannot characterize the amount of information leakage to the EAV when an outage occurs.
Journal ArticleDOI

Security-Aware Max–Min Resource Allocation in Multiuser OFDMA Downlink

TL;DR: Three heuristic schemes of polynomial complexity are proposed, offering a better balance between performance and complexity in a multiuser orthogonal frequency-division multiple access (OFDMA) downlink with eavesdropping.
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Construction A of Lattices over Number Fields and Block Fading Wiretap Coding

TL;DR: A lattice construction from totally real and complex multiplication fields, which naturally generalizes Construction A of lattices from p-ary codes obtained from the cyclotomic field Q(ζpr ) and has applications to coset encoding of algebraic lattice codes for block fading channels.
References
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Journal ArticleDOI

A simple transmit diversity technique for wireless communications

TL;DR: This paper presents a simple two-branch transmit diversity scheme that provides the same diversity order as maximal-ratio receiver combining (MRRC) with one transmit antenna, and two receive antennas.
Journal ArticleDOI

The wire-tap channel

TL;DR: This paper finds the trade-off curve between R and d, assuming essentially perfect (“error-free”) transmission, and implies that there exists a Cs > 0, such that reliable transmission at rates up to Cs is possible in approximately perfect secrecy.
Journal ArticleDOI

Space-time codes for high data rate wireless communication: performance criterion and code construction

TL;DR: In this paper, the authors consider the design of channel codes for improving the data rate and/or the reliability of communications over fading channels using multiple transmit antennas and derive performance criteria for designing such codes under the assumption that the fading is slow and frequency nonselective.
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