Ergodic Secrecy Sum-Rate for Multiuser Downlink Transmission via Regularized Channel Inversion: Large System Analysis

In this letter, we study the ergodic secrecy sum-rate of a multiuser downlink system achievable by using the regularized zero-forcing precoding based on imperfect channel estimation. The channels between the base station and users are modeled as fading channels with different spatial correlations and line-of-sight components. By using the limiting distribution of a new class of random matrix, we derive a large-system approximation of the ergodic secrecy sum-rate in the multiuser downlink system. The large-system approximation provides a reliable performance prediction, which enables us to identify the optimal regularization parameter efficiently.

[1]  Kai-Kit Wong,et al.  A Deterministic Equivalent for the Analysis of Non-Gaussian Correlated MIMO Multiple Access Channels , 2011, IEEE Transactions on Information Theory.

[2]  Imre Csiszár,et al.  Broadcast channels with confidential messages , 1978, IEEE Trans. Inf. Theory.

[3]  Matthieu R. Bloch,et al.  Wireless Information-Theoretic Security , 2008, IEEE Transactions on Information Theory.

[4]  Chau Yuen,et al.  Physical Layer Security of TAS/MRC With Antenna Correlation , 2013, IEEE Transactions on Information Forensics and Security.

[5]  Adeel Razi,et al.  Secrecy Sum-Rates for Multi-User MIMO Regularized Channel Inversion Precoding , 2012, IEEE Transactions on Communications.

[6]  A. D. Wyner,et al.  The wire-tap channel , 1975, The Bell System Technical Journal.

[7]  Shi Jin,et al.  Large System Analysis of Cooperative Multi-Cell Downlink Transmission via Regularized Channel Inversion with Imperfect CSIT , 2013, IEEE Transactions on Wireless Communications.

[8]  Iain B. Collings,et al.  Linear Precoding for Broadcast Channels with Confidential Messages under Transmit-Side Channel Correlation , 2013, IEEE Communications Letters.

[9]  Mérouane Debbah,et al.  Large System Analysis of Linear Precoding in Correlated MISO Broadcast Channels Under Limited Feedback , 2009, IEEE Transactions on Information Theory.

[10]  Iain B. Collings,et al.  Large System Analysis of Linear Precoding in MISO Broadcast Channels with Confidential Messages , 2013, IEEE Journal on Selected Areas in Communications.

[11]  Shi Jin,et al.  On Capacity of Large-Scale MIMO Multiple Access Channels with Distributed Sets of Correlated Antennas , 2012, IEEE Journal on Selected Areas in Communications.

[12]  Mérouane Debbah,et al.  Massive MIMO in the UL/DL of Cellular Networks: How Many Antennas Do We Need? , 2013, IEEE Journal on Selected Areas in Communications.