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A Low-Complexity Algorithm for Achieving Secrecy Capacity in MIMO Wiretap Channels
Date Issued
2020-06-11
Date Available
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.
Sponsorship
Science Foundation Ireland
Other Sponsorship
Academy of Finland
Type of Material
Conference Publication
Publisher
IEEE
Copyright (Published Version)
2020 IEEE
Web versions
Language
English
Status of Item
Peer reviewed
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
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