Noncoherent capacity of secret-key agreement with public discussion

Anurag Agrawal; Zouheir Rezki; Ashish J. Khisti; Mohamed-Slim Alouini

doi:10.1109/TIFS.2011.2158999

Noncoherent capacity of secret-key agreement with public discussion

Anurag Agrawal, Zouheir Rezki, Ashish J. Khisti, Mohamed-Slim Alouini

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We study the noncoherent capacity of secret-key agreement with public discussion over independent identically distributed (i.i.d.) Rayleigh fading wireless channels, where neither the sender nor the receivers have access to instantaneous channel state information (CSI). We present two results. At high signal-to-noise ratio (SNR), the secret-key capacity is bounded in SNR, regardless of the number of antennas at each terminal. Second, for a system with a single antenna at both the legitimate and the eavesdropper terminals and an arbitrary number of transmit antennas, the secret-key capacity-achieving input distribution is discrete, with a finite number of mass points. Numerically we observe that at low SNR, the capacity achieving distribution has two mass points with one of them at the origin. © 2011 IEEE.

Original language	English (US)
Pages (from-to)	565-574
Number of pages	10
Journal	IEEE Transactions on Information Forensics and Security
Volume	6
Issue number	3
DOIs	https://doi.org/10.1109/TIFS.2011.2158999
State	Published - Sep 2011

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

Computer Networks and Communications
Safety, Risk, Reliability and Quality

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10.1109/TIFS.2011.2158999

Cite this

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title = "Noncoherent capacity of secret-key agreement with public discussion",

abstract = "We study the noncoherent capacity of secret-key agreement with public discussion over independent identically distributed (i.i.d.) Rayleigh fading wireless channels, where neither the sender nor the receivers have access to instantaneous channel state information (CSI). We present two results. At high signal-to-noise ratio (SNR), the secret-key capacity is bounded in SNR, regardless of the number of antennas at each terminal. Second, for a system with a single antenna at both the legitimate and the eavesdropper terminals and an arbitrary number of transmit antennas, the secret-key capacity-achieving input distribution is discrete, with a finite number of mass points. Numerically we observe that at low SNR, the capacity achieving distribution has two mass points with one of them at the origin. {\textcopyright} 2011 IEEE.",

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AU - Agrawal, Anurag

AU - Rezki, Zouheir

AU - Khisti, Ashish J.

AU - Alouini, Mohamed-Slim

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AB - We study the noncoherent capacity of secret-key agreement with public discussion over independent identically distributed (i.i.d.) Rayleigh fading wireless channels, where neither the sender nor the receivers have access to instantaneous channel state information (CSI). We present two results. At high signal-to-noise ratio (SNR), the secret-key capacity is bounded in SNR, regardless of the number of antennas at each terminal. Second, for a system with a single antenna at both the legitimate and the eavesdropper terminals and an arbitrary number of transmit antennas, the secret-key capacity-achieving input distribution is discrete, with a finite number of mass points. Numerically we observe that at low SNR, the capacity achieving distribution has two mass points with one of them at the origin. © 2011 IEEE.

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JO - IEEE Transactions on Information Forensics and Security

JF - IEEE Transactions on Information Forensics and Security

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Noncoherent capacity of secret-key agreement with public discussion

Abstract

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