Secrecy Sum-Rates for Multi-User MIMO Regularized Channel Inversion Precoding

In this paper, we propose a linear precoder for the downlink of a multi-user MIMO system with multiple users that potentially act as eavesdroppers. The proposed precoder is based on regularized channel inversion (RCI) with a regularization parameter \(\alpha\) and power allocation vector chosen in s...

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Vydáno v:arXiv.org
Hlavní autoři: Geraci, Giovanni, Egan, Malcolm, Yuan, Jinhong, Razi, Adeel, Collings, Iain B
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 20.07.2012
Témata:
Algorithms
Eavesdropping
MIMO (control systems)
Optimization
Parameters
Power management
Regularization
Scaling factors
Systems analysis
ISSN:2331-8422
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Shrnutí:In this paper, we propose a linear precoder for the downlink of a multi-user MIMO system with multiple users that potentially act as eavesdroppers. The proposed precoder is based on regularized channel inversion (RCI) with a regularization parameter \(\alpha\) and power allocation vector chosen in such a way that the achievable secrecy sum-rate is maximized. We consider the worst-case scenario for the multi-user MIMO system, where the transmitter assumes users cooperate to eavesdrop on other users. We derive the achievable secrecy sum-rate and obtain the closed-form expression for the optimal regularization parameter \(\alpha_{\mathrm{LS}}\) of the precoder using large-system analysis. We show that the RCI precoder with \(\alpha_{\mathrm{LS}}\) outperforms several other linear precoding schemes, and it achieves a secrecy sum-rate that has same scaling factor as the sum-rate achieved by the optimum RCI precoder without secrecy requirements. We propose a power allocation algorithm to maximize the secrecy sum-rate for fixed \(\alpha\). We then extend our algorithm to maximize the secrecy sum-rate by jointly optimizing \(\alpha\) and the power allocation vector. The jointly optimized precoder outperforms RCI with \(\alpha_{\mathrm{LS}}\) and equal power allocation by up to 20 percent at practical values of the signal-to-noise ratio and for 4 users and 4 transmit antennas.
Bibliografie:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1207.5063