An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel

Bustin, Ronit; Liu, Ruoheng; Poor, H. Vincent; Shamai, Shlomo

doi:10.1155/2009/370970

Cited by 113 publications

(88 citation statements)

References 11 publications

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“…There is another constraint, the so-called power-covariance constraint [6], i.e., 0 Q S where S is a known positive semidefinite matrix corresponding to a secrecy capacity C s (S). As revealed in [6, eq.…”

Section: A Total Power Constraint Versus Power-covariance Constraintsmentioning

confidence: 99%

“…In [6], the closed form expression for C s (S) is derived. However, to determine C s (P ), one need to solve (4) which is exactly our problem (2).…”

Section: A Total Power Constraint Versus Power-covariance Constraintsmentioning

confidence: 99%

“…The Gaussian wiretap channel, in which the outputs at the legitimate receiver and at the eavesdropper are corrupted by additive white Gaussian noise (AWGN), was studied in [2]. Recently, the secrecy capacity of MIMO wiretap channels under power constraints was analyzed in [3] and [4], and under power-covariance constraints in [5] and [6]. For some special case of MIMO wiretap channels, e.g., MISO wiretap channels, the optimal input covariance matrix that achieves the secrecy capacity under a power constraint was obtained in [7] in the form of eigenvalue and eigenvector of a matrix, or in [9] in closed form.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On beamforming solution for secrecy capacity of MIMO wiretap channels

Petropulu

2011

2011 IEEE GLOBECOM Workshops (GC Wkshps)

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1 A Gaussian multiple-input multiple-output (MIMO) wiretap channel model is considered, where there exists a transmitter, a legitimate receiver and an eavesdropper each equipped with multiple antennas. The problem of finding the optimal input covariance matrix that achieves secrecy capacity subject to a power constraint is studied. In particular, it is shown that when the difference between the Grams of legitimate and eavesdropper channel matrices has all negative eigenvalues except one positive eigenvalue, beamforming is optimal. For that case, the secrecy capacity is obtained.Index Terms-Secrecy capacity, MIMO wiretap channel, beamforming, wireless physical layer security.

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Section: A Total Power Constraint Versus Power-covariance Constraintsmentioning

confidence: 99%

“…In [6], the closed form expression for C s (S) is derived. However, to determine C s (P ), one need to solve (4) which is exactly our problem (2).…”

Section: A Total Power Constraint Versus Power-covariance Constraintsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On beamforming solution for secrecy capacity of MIMO wiretap channels

Petropulu

2011

2011 IEEE GLOBECOM Workshops (GC Wkshps)

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“…The system as a whole, comprising the OFDM transmitter, the legitimate channel, the OFDM receiver and the eavesdropper channel, can be regarded as a MIMO Gaussian wiretap channel [8,11]. Its secrecy capacity (representing the maximum secrecy rate allowed by the system) is achieved with a Gaussian input [8] and its value is given by…”

Section: Problem Statementmentioning

confidence: 99%

Physical layer secrecy for OFDM systems

Renna

Laurenti

Poor

2010

2010 European Wireless Conference (EW)

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Orthogonal frequency division multiplexing (OFDM) has been established as the preferred modulation choice for high-rate data transmission over dispersive channels, as it allows rejection of inter-symbol interference (ISI) and efficient utilization of the available spectrum. We address the issues of determining achievable secrecy rates and secrecy capacity for OFDM transmission in the presence of a generic eavesdropper. In doing so, we refrain from making the restrictive assumption made in previous works that the eavesdropper uses a standard fast Fourier transform (FFT)-based demodulator. First, the high SNR secrecy capacity under a total input power constraint is evaluated for both cyclic prefix and zero-padding suffix OFDM systems. It is shown that in both cases the result is sensibly lower than what we would get if the eavesdropper used an OFDM receiver. Then, optimal power allocation schemes are proposed for both types of OFDM systems and the secrecy rates are compared with results obtained by using existing power allocation methods described in the literature for parallel Gaussian wiretap channels and multiple-input multiple-output (MIMO) Gaussian wiretap channels

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“…Later, the investigation on secrecy capacity is extended to different communication channels, such as SISO fading channels , Gaussian broadcast channels [7,8] and Gaussian multiple access channels [9][10][11]. With the rapid development of multiple-antenna technologies, recently there has been a flurry of interest in the study of information-theoretic secrecy capacity for multiple-input-multiple-output (MIMO) channel [12][13][14][15][16][17][18][19][20], single-input-multiple-output channel [21] and multiple-input-single-output channel [22][23][24], where the transmitter, the receiver and/or the eavesdropper are equipped with multiple antennas. Practical applications of low-density parity-check (LDPC) codes for Gaussian wiretap channel were studied in [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Eavesdropping mitigation for wireless communications over single‐input–single‐output channels

Liu

2015

IET Communications

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In this study, the authors investigate eavesdropping mitigation for wireless communications with physical-layer security techniques. They consider a multicasting scenario with one transmitter, multiple trusted receivers and multiple eavesdroppers, each equipped with one antenna. Aiming at protecting trusted communications from data interception, they develop two novel waveform designs for eavesdropping reduction under two scenarios: (i) when the eavesdroppers' channel state information (CSI) is known, they design the waveform and transmit energy which can minimise the maximal signal-to-interference-plus-noise ratios (SINRs) at the eavesdroppers while achieving guaranteed SINRs at the trusted receivers and (ii) when the eavesdroppers' CSIs are not available, they adopt 'artificial noise' (AN) strategy aiming at generating as much disturbance to eavesdroppers as possible. A novel waveform and transmit power design is proposed which can maximise the AN's energy with assured quality-of-service at trusted receivers. Extensive simulation studies illustrate the efficiency of the proposed designs for eavesdropping mitigation in wireless communications.

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An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel

Cited by 113 publications

References 11 publications

On beamforming solution for secrecy capacity of MIMO wiretap channels

On beamforming solution for secrecy capacity of MIMO wiretap channels

Physical layer secrecy for OFDM systems

Eavesdropping mitigation for wireless communications over single‐input–single‐output channels

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