Towards the Secrecy Capacity of the Gaussian MIMO Wire-Tap Channel: The 2-2-1 Channel

By Shabnam Shafiee, Nan Liu, Sennur Ulukus. IEEE Transactions on Information Theory, 2007

313 citations recorded by the source corpus.

We find the secrecy capacity of the 2-2-1 Gaussian MIMO wiretap channel, which consists of a transmitter and a receiver with two antennas each, and an eavesdropper with a single antenna. We determine the secrecy capacity of this channel by proposing an achievable scheme and then developing a tight upper bound that meets the proposed achievable secrecy rate. We show that, for this channel, Gaussian signalling in the form of beam-forming is optimal, and no pre-processing of information is necessary.

Subfields: Biomedical Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/35f318e85a120eb23f6598e7d1f980ad788f2687

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Citations in the corpus

Secure Radar-Communication Systems With Malicious Targets: Integrating Radar, Communications and Jamming Functionalities (2019, background): “MIMO secrecy capacity problems were considered in [21]–[23].”
A Note on the Secrecy Capacity of the Multi-antenna Wiretap Channel (2007, background): “For the multi-antenna wiretap channel, Khisti and Wornell [1] showed that the conditional mutual information I ( X ; Y ′ r | Y ′ e ) is maximized when the channel input X is Gaussian.”
Cooperation With an Untrusted Relay: A Secrecy Perspective (2009, methodology): “This line of work includes the multiple input multi p e output (MIMO) wiretap channel [4]–[6], the wiretap channel with a cooperative jammer [7], the multiple access wiretap channel [8]–[11], the MIMO broadcast channel with multiple legitim ate receivers and an external eavesdropper [12], the two-wa”
Physical Layer Security for Next Generation Wireless Networks: Theories, Technologies, and Challenges (2017, methodology): “Reference [29] showed a special case of r = 2, t = 2, and e = 1 using this approach.”
Secure Transmission With Multiple Antennas I: The MISOME Wiretap Channel (2007, background): “Since the submission of the present paper, the capacity for the more general MIMOME case has also been obtained [15], [27]–[30].”
Secure Transmission With Multiple Antennas—Part II: The MIMOME Wiretap Channel (2010, background): “Since the submission of the present paper, the capacity for the more general MIMOME case has also been obtained [15], [27]–[30].”
Secure Transmission with Multiple Antennas II: The MIMOME Wiretap Channel (2010, background): “[17] and further applied to the case of two transmit antennas, two receive antennas, and a single eavesdropper antenna [18].”
The General Gaussian Multiple-Access and Two-Way Wiretap Channels: Achievable Rates and Cooperative Jamming (2007, methodology): “Multiple-input–multiple-output (MIMO) channels were considered in [36] and [37].”
Secure Communication Over Fading Channels (2007, background): “Fading wiretap channels were studied recently in, e.g., [3]–[7], and multiple-antenna wiretap channels were studied in, e.g., [8]–[ 11 ].”
The secrecy capacity of the MIMO wiretap channel (2007, background): “The secrecy capacity has been computing for the particular cases where both the transmitter and receiver have two antennas, and the eavesdropper has either one antenna [21] or two antennas [17].”