A Low-Complexity Algorithm for Achieving Secrecy Capacity in MIMO Wiretap Channels

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Title: A Low-Complexity Algorithm for Achieving Secrecy Capacity in MIMO Wiretap Channels
Authors: Nguyen, Thang VanVu, Quang-DoanhJuntti, MarkkuTran, Le-Nam
Permanent link: http://hdl.handle.net/10197/11909
Date: 11-Jun-2020
Online since: 2021-02-01T17:38:40Z
Abstract: We consider a secure transmission including a transmitter, a receiver and an eavesdropper, each being equipped with multiple antennas. The aim is to develop a low-complexity and scalable method to find a globally optimal solution to the problem of secrecy rate maximization under a total power constraint at the transmitter. In principle, the original formulation of the problem is nonconvex. However, it can be equivalently translated into finding a saddle point of a minimax convex-concave program. An existing approach finds the saddle point using the Newton method, whose computational cost increases quickly with the number of transmit antennas, making it unsuitable for large scale antenna systems. To this end, we propose an iterative algorithm based on alternating optimization, which is guaranteed to converge to a saddle point, and thus achieves a globally optimal solution to the considered problem. In particular, each subproblem of the proposed iterative method admits a closed-form solution. We analytically show that the iteration cost of our proposed method is much cheaper than that of the known solution. As a result, numerical results demonstrate that the proposed method remarkably outperforms the existing one in terms of the overall run time.
Funding Details: Science Foundation Ireland
Funding Details: Academy of Finland
Type of material: Conference Publication
Publisher: IEEE
Copyright (published version): 2020 IEEE
Keywords: Antenna arraysConcave programmingConvex programmingMIMO communicationMinimax techniquesNewton methodOptimisation
DOI: 10.1109/ICC40277.2020.9149178
Other versions: https://icc2020.ieee-icc.org/
Language: en
Status of Item: Peer reviewed
Is part of: ICC 2020 - 2020 IEEE International Conference on Communications (ICC)
Conference Details: The 2020 IEEE International Conference on Communications (ICC 2020), Virtual Conference, 7-11 June 2020
ISBN: 9781728150895
ISSN: 1550-3607
This item is made available under a Creative Commons License: https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Appears in Collections:Electrical and Electronic Engineering Research Collection

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