Non-coherent capacity of secret-key agreement with public discussion

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

doi:10.1109/iccw.2011.5963542

Non-coherent capacity of secret-key agreement with public discussion

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We study the Rayleigh fading non-coherent capacity of secret-key agreement with public discussion, where neither the sender nor the receivers have access to instantaneous channel state information (CSI) of any channel. 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)
Title of host publication	2011 IEEE International Conference on Communications Workshops (ICC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)	9781612849553
DOIs	https://doi.org/10.1109/iccw.2011.5963542
State	Published - Jun 2011

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10.1109/iccw.2011.5963542

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

abstract = "We study the Rayleigh fading non-coherent capacity of secret-key agreement with public discussion, where neither the sender nor the receivers have access to instantaneous channel state information (CSI) of any channel. 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.",

author = "Anurag Agrawal and Zouheir Rezki and Khisti, {Ashish J.} and Mohamed-Slim Alouini",

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AU - Agrawal, Anurag

AU - Rezki, Zouheir

AU - Khisti, Ashish J.

AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2011/6

Y1 - 2011/6

N2 - We study the Rayleigh fading non-coherent capacity of secret-key agreement with public discussion, where neither the sender nor the receivers have access to instantaneous channel state information (CSI) of any channel. 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.

AB - We study the Rayleigh fading non-coherent capacity of secret-key agreement with public discussion, where neither the sender nor the receivers have access to instantaneous channel state information (CSI) of any channel. 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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DO - 10.1109/iccw.2011.5963542

M3 - Conference contribution

SN - 9781612849553

BT - 2011 IEEE International Conference on Communications Workshops (ICC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Non-coherent capacity of secret-key agreement with public discussion

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