2013
DOI: 10.1109/tsp.2013.2253774
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Full Rank Solutions for the MIMO Gaussian Wiretap Channel With an Average Power Constraint

Abstract: This paper considers a multiple-input multipleoutput (MIMO) Gaussian wiretap channel with a transmitter, a legitimate receiver and an eavesdropper, each equipped with multiple antennas. We first study the rank of the optimal input covariance matrix that achieves the secrecy capacity of the MIMO Gaussian wiretap channel under an average power constraint. The rank and other properties of the optimal solution are derived based on certain relationships between the channel matrices for the legitimate receiver and e… Show more

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Cited by 64 publications
(45 citation statements)
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“…Then by Proposition 1 in [40] we know that solving the optimal input covariance matrix for a GWTC is a convex problem. For full CSIT cases we can use convex optimization tools to solve it numerically or some partial analytical results can be seen in [40,41], etc.…”
Section: Theorem 6 a Sufficient Condition To Have A Degraded Multiplmentioning
confidence: 99%
“…Then by Proposition 1 in [40] we know that solving the optimal input covariance matrix for a GWTC is a convex problem. For full CSIT cases we can use convex optimization tools to solve it numerically or some partial analytical results can be seen in [40,41], etc.…”
Section: Theorem 6 a Sufficient Condition To Have A Degraded Multiplmentioning
confidence: 99%
“…In certain cases, it is possible to find a closed form of the capacity such as when S is full rank [63,64] or when the SNR is considered high [19].…”
Section: A More General Matrix Input-power Constraintmentioning
confidence: 99%
“…As pointed out in [6] and [7], the secrecy capability of the wiretap channel depends upon exploiting the DoF of …”
Section: A Degrees Of Freedom Analysismentioning
confidence: 99%
“…A minimum mean square error (MMSE) approach was used in [5]. More recently, in [6] the transmission solution for the MIMO wiretap channel was characterized for a full-rank input covariance matrix under an average power constraint. The general transmit solution that achieves the MIMO wiretap channel's secrecy capacity (C S ) through alternating optimisation was introduced in [7].…”
Section: Introductionmentioning
confidence: 99%