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Power Allocation in MIMO Wiretap Channel with Statistical CSI and Finite-Alphabet Input

Vishwakarma, Sanjay and Chockalingam, A (2014) Power Allocation in MIMO Wiretap Channel with Statistical CSI and Finite-Alphabet Input. In: 2014 INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING AND COMMUNICATIONS (SPCOM), JUL 22-25, 2014, Banaglore, INDIA.

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Official URL: http://arxiv.org/abs/1401.3617

Abstract

In this paper, we consider the problem of power allocation in MIMO wiretap channel for secrecy in the presence of multiple eavesdroppers. Perfect knowledge of the destination channel state information (CSI) and only the statistical knowledge of the eavesdroppers CSI are assumed. We first consider the MIMO wiretap channel with Gaussian input. Using Jensen's inequality, we transform the secrecy rate max-min optimization problem to a single maximization problem. We use generalized singular value decomposition and transform the problem to a concave maximization problem which maximizes the sum secrecy rate of scalar wiretap channels subject to linear constraints on the transmit covariance matrix. We then consider the MIMO wiretap channel with finite-alphabet input. We show that the transmit covariance matrix obtained for the case of Gaussian input, when used in the MIMO wiretap channel with finite-alphabet input, can lead to zero secrecy rate at high transmit powers. We then propose a power allocation scheme with an additional power constraint which alleviates this secrecy rate loss problem, and gives non-zero secrecy rates at high transmit powers.

Item Type: Conference Proceedings
Additional Information: Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Keywords: MIMO wiretap channel; physical layer security; secrecy rate; multiple eavesdroppers; statistical CSI; finite-alphabet input
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: Id for Latest eprints
Date Deposited: 30 Dec 2015 06:08
Last Modified: 30 Dec 2015 06:08
URI: http://eprints.iisc.ac.in/id/eprint/52986

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