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International Conference on Electrical and Computer Engineering (ICECE)

Security in multiple keyhole MIMO channels

Rezwana Sultana, M. Z. I. Sarkar, Md. Selim Hossain

Published Dec 1, 2016• 6 citations
Publisher

Abstract

A new closed form expression for the ergodic secrecy capacity with multi-keyhole Multiple-Input Multiple-Output (MIMO) channel has been derived in this paper. Assuming independent and identically distributed (i.i.d.) Rayleigh flat-fading between transmitting and receiving antennas and equal power allocation to each of the transmit antennas, the ergodic secrecy capacity is expressed as a finite sum of weighted Meiger G-functions for ease of calculation. The effect of the number of keyhole on the ergodic secrecy capacity as well as on the receiving antenna is also analyzed in this paper.

DOI
10.1109/icece.2016.7853898

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A new closed form expression for the ergodic secrecy capacity with multi-keyhole Multiple-Input Multiple-Output (MIMO) channel has been derived in this paper. Assuming independent and identically distributed (i.i.d.) Rayleigh flat-fading between transmitting and receiving antennas and equal power allocation to each of the transmit antennas, the ergodic secrecy capacity is expressed as a finite sum of weighted Meiger G-functions for ease of calculation. The effect of the number of keyhole on the ergodic secrecy capacity as well as on the receiving antenna is also analyzed in this paper.
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In this paper, multiple-input-multiple-output wireless communication network is considered: with a base station Alice having multiple antennas, one desired information receiver Bob and one eavesdropper with multiple antennas. A closed-form mathematical expression for the ergodic secrecy capacity under Nakagami-m Fading Channels is derived. The derived expression highlights the variation of the ergodic secrecy capacity with number of antennas in Bob and Nakagami-m pararmeter, which is depicted with numerical analysis.
Abstract In this paper, we study the multiple‐input multiple‐output multiple‐eavesdropper wiretap channel in the nonergodic and ergodic scenarios, both with stationary Rayleigh distributed fading channels. For the ergodic scenario, we derive a new closed‐form expression for the ergodic secrecy capacity with full channel state information at the transmitter (CSIT) of the main and the eavesdropper channels, allowing the covariance matrix to be time‐varying. A lower bound for the ergodic capacity with full CSIT, in which the covariance matrix is fixed for the entire transmission period is also derived. The first expression is restricted to the high signal‐to‐nose ratio (SNR) limit, with nt transmit antennas, nr receive antennas and ne=nt eavesdropper antennas (nt×nr×nt setup). The second expression is restricted to the nt×nt×nt antenna setup. For the nonergodic scenario, we derive a new closed‐form expression for the secrecy outage probability in the high SNR limit, in a 2 × nr×2 setup with . We are also able to calculate an upper bound for the secrecy outage probability in other antenna setups. Copyright © 2015 John Wiley & Sons, Ltd.
This paper analyzes transmit antenna selection (TAS) under Rayleigh flat fading for BPSK/QPSK modulations in multiple-input multiple-output wiretap channels, also termed as multiple-input multiple-output multiple-eavesdropper (MIMOME) channels. In our protocol, a single antenna is selected to transmit the secret message and selection combing (SC) or maximal-ratio combing (MRC) is utilized at the legitimate receiver or the eavesdropper. Novel closed-form expressions for the ergodic secrecy rates are derived to approximate the exact values, which hold high precision and compact forms. Besides theoretical derivations, simulations are provided to demonstrate the feasibility and validity of the proposed formulas.
We consider the problem of secure communication in wireless fading channels in the presence of quantized version of the receivers channel sate information at transmit side. The transmitter has multiple antennas and is able to simultaneously transmits an information bearing signal and artificial noise. For general values of signal to noise ratio (SNR), we obtain the exact closed-form expression for the distribution function of output signal to interference plus noise ratio at the legitimate receiver and a lower bound of the ergodic secrecy capacity can be obtain by using simple numerical integration. For the interference-limited case, we obtained a closed-form expression for a lower bound of secrecy capacity. Our results apply to arbitrary number of antennas and number of feedback bits. The analytical and numerical results show that the ergodic secrecy capacity lower bound approaches to a constant as the SNR of system grows large. In addition, we find that, for system with reasonable number of feedback bits, the optimal power allocation strategy should allocate most of the available power to the information signal.