Large System Analysis of Linear Precoding in MISO Broadcast Channels with Confidential Messages
- 26 August 2013
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Journal on Selected Areas in Communications
- Vol. 31 (9) , 1660-1671
Abstract
In this paper, we study the performance of regularized channel inversion (RCI) precoding in large MISO broadcast channels with confidential messages (BCC). We obtain a deterministic approximation for the achievable secrecy sum-rate which is almost surely exact as the number of transmit antennas M and the number of users K grow to infinity in a fixed ratio β=K/M. We derive the optimal regularization parameter ξ and the optimal network load β that maximize the per-antenna secrecy sum-rate. We then propose a linear precoder based on RCI and power reduction (RCI-PR) that significantly increases the high-SNR secrecy sum-rate for 1<;β<;2. Our proposed precoder achieves a per-user secrecy rate which has the same high-SNR scaling factor as both the following upper bounds: (i) the rate of the optimum RCI precoder without secrecy requirements, and (ii) the secrecy capacity of a single-user system without interference. Furthermore, we obtain a deterministic approximation for the secrecy sum-rate achievable by RCI precoding in the presence of channel state information (CSI) error. We also analyze the performance of our proposed RCI-PR precoder with CSI error, and we determine how the error must scale with the SNR in order to maintain a given rate gap to the case with perfect CSI.Keywords
All Related Versions
This publication has 29 references indexed in Scilit:
- Linear Precoding for Broadcast Channels with Confidential Messages under Transmit-Side Channel CorrelationIEEE Communications Letters, 2013
- Secrecy Sum-Rates for Multi-User MIMO Regularized Channel Inversion PrecodingIEEE Transactions on Communications, 2012
- Large system analysis of the secrecy sum-rates with Regularized Channel Inversion precoding2012
- Secrecy sum-rates for multi-user MIMO linear precoding2011
- Random Matrix Methods for Wireless Communications2011
- Rethinking the Secrecy Outage Formulation: A Secure Transmission Design PerspectiveIEEE Communications Letters, 2011
- Robust Beamforming for Security in MIMO Wiretap Channels With Imperfect CSIIEEE Transactions on Signal Processing, 2010
- Multiple-Input Multiple-Output Gaussian Broadcast Channels With Confidential MessagesIEEE Transactions on Information Theory, 2010
- Eigenvalue Distributions of Sums and Products of Large Random Matrices Via Incremental Matrix ExpansionsIEEE Transactions on Information Theory, 2008
- Analysis of the Limiting Spectral Distribution of Large Dimensional Random MatricesJournal of Multivariate Analysis, 1995