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Secrecy sum-rate of multi-user MISO visible light communication systems with confidential messages

Thanh V. Pham, Anh T. Pham

Published Jul 17, 2017• 28 citations
Publisher
DOI
10.1016/j.ijleo.2017.07.037

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This paper studies the secrecy sum-rate in multi-user multiple-input single-output (MU-MISO) broadcast visible light communication (VLC) systems with confidential messages. The well-known Zero-Forcing (ZF) precoding is utilized to ensure confidentiality among users. Different from radio frequency (RF) counterpart, input data signals of VLC systems are amplitude constrained. This fundamental difference makes the derivation of the secrecy capacity more complex. In this study, we investigate a lower bound on the secrecy sum-rate of all users, which is valid in high signal-to-noise ratio (SNR) regime. The secrecy sum-rate is derived for two scenarios: known and unknown eavesdropper's channel state information (CSI) at the transmitter.
We investigate in this paper the achievable secrecy sum-rate of the multiple-input single-output (MISO) visible light communication (VLC) broadcast Gaussian channel with confidential messages. We consider a system model comprising (K +1) nodes: a transmitter (Alice) equipped with N fixtures of LEDs and K (K ≤ N) spatially dispersed users, each equipped with a single photo-diode (PD). The channel is modeled as deterministic and real-valued, subject to amplitude and power constraints, through which Alice wants to transmit in one channel use K confidential messages. We propose a new precoding scheme based on the eigenvalues of the pencils of the different K MISO VLC channels in order to maximize the achievable secrecy sum-rate of the overall system. The motivation behind this scheme is based on the fact that the optimal precoding scheme maximizing the achievable secrecy rate of the single user MISO VLC wiretap channel is expressed through the eigenvector associated to the largest eigenvalue of the wiretap channel's pencil. We investigate both cases, namely, when the locations of users are known, i.e., perfect channel state information (CSI) is available to Alice, or unknown, i.e., imperfect CSI. Furthermore, we adopt the truncated generalized normal (TGN) distribution as input signaling. We present several examples which demonstrate the substantial improvements in the secrecy sum-rates achieved by the proposed techniques compared to those achieved by zero-forcing (ZF) precoding.