Secure communications with insecure feedback: Breaking the high-SNR ceiling

Tùng T. Kim; H. Vincent Poor

doi:10.1109/TIT.2010.2050798

Secure communications with insecure feedback: Breaking the high-SNR ceiling

Tùng T. Kim, H. Vincent Poor

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

5 Scopus citations

Abstract

A multiple-antenna Gaussian wiretap channel in which the number of antennas at the source is not greater than that at the eavesdropper is considered. Without feedback, the secrecy capacity over such a channel generally converges to a constant at high signal-to-noise ratio (SNR). A half-duplex secure protocol allowing the destination to actively transfer random keys in the form of known interference is proposed. It is shown that using multiple antennas at the destination is instrumental in achieving a secrecy rate that grows linearly with log SNR. The pre-log factor of the secrecy rate, i.e., the number of secure degrees of freedom, is characterized, revealing an interesting interplay between the numbers of antennas at the three communication nodes. The relationship of the achievable secure degrees of freedom to those obtained in the case without feedback is finally discussed.

Original language	English (US)
Article number	5508616
Pages (from-to)	3700-3711
Number of pages	12
Journal	IEEE Transactions on Information Theory
Volume	56
Issue number	8
DOIs	https://doi.org/10.1109/TIT.2010.2050798
State	Published - Aug 2010

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Feedback
information-theoretic security
multiple-input multiple-output (MIMO) systems
public channels
wiretap channels

Access to Document

10.1109/TIT.2010.2050798

Cite this

@article{b65fb75fc3674eb7a47aff9f4cb02c1a,

title = "Secure communications with insecure feedback: Breaking the high-SNR ceiling",

abstract = "A multiple-antenna Gaussian wiretap channel in which the number of antennas at the source is not greater than that at the eavesdropper is considered. Without feedback, the secrecy capacity over such a channel generally converges to a constant at high signal-to-noise ratio (SNR). A half-duplex secure protocol allowing the destination to actively transfer random keys in the form of known interference is proposed. It is shown that using multiple antennas at the destination is instrumental in achieving a secrecy rate that grows linearly with log SNR. The pre-log factor of the secrecy rate, i.e., the number of secure degrees of freedom, is characterized, revealing an interesting interplay between the numbers of antennas at the three communication nodes. The relationship of the achievable secure degrees of freedom to those obtained in the case without feedback is finally discussed.",

keywords = "Feedback, information-theoretic security, multiple-input multiple-output (MIMO) systems, public channels, wiretap channels",

author = "Kim, {T{\`u}ng T.} and Poor, {H. Vincent}",

note = "Funding Information: Manuscript received June 12, 2009; revised November 21, 2009. Date of current version July 14, 2010. This work was supported in part by the Office of Naval Research under Grant N00014-09-1-0342. The material in this paper was presented in part at the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 2009. The authors are with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544 USA (e-mail: thanhkim@princeton.edu; poor@princeton.edu). Communicated by Elza Erkip, Associate Editor for Shannon Theory. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2010.2050798",

year = "2010",

month = aug,

doi = "10.1109/TIT.2010.2050798",

language = "English (US)",

volume = "56",

pages = "3700--3711",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8",

}

TY - JOUR

T1 - Secure communications with insecure feedback

T2 - Breaking the high-SNR ceiling

AU - Kim, Tùng T.

AU - Poor, H. Vincent

N1 - Funding Information: Manuscript received June 12, 2009; revised November 21, 2009. Date of current version July 14, 2010. This work was supported in part by the Office of Naval Research under Grant N00014-09-1-0342. The material in this paper was presented in part at the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 2009. The authors are with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544 USA (e-mail: thanhkim@princeton.edu; poor@princeton.edu). Communicated by Elza Erkip, Associate Editor for Shannon Theory. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2010.2050798

PY - 2010/8

Y1 - 2010/8

N2 - A multiple-antenna Gaussian wiretap channel in which the number of antennas at the source is not greater than that at the eavesdropper is considered. Without feedback, the secrecy capacity over such a channel generally converges to a constant at high signal-to-noise ratio (SNR). A half-duplex secure protocol allowing the destination to actively transfer random keys in the form of known interference is proposed. It is shown that using multiple antennas at the destination is instrumental in achieving a secrecy rate that grows linearly with log SNR. The pre-log factor of the secrecy rate, i.e., the number of secure degrees of freedom, is characterized, revealing an interesting interplay between the numbers of antennas at the three communication nodes. The relationship of the achievable secure degrees of freedom to those obtained in the case without feedback is finally discussed.

AB - A multiple-antenna Gaussian wiretap channel in which the number of antennas at the source is not greater than that at the eavesdropper is considered. Without feedback, the secrecy capacity over such a channel generally converges to a constant at high signal-to-noise ratio (SNR). A half-duplex secure protocol allowing the destination to actively transfer random keys in the form of known interference is proposed. It is shown that using multiple antennas at the destination is instrumental in achieving a secrecy rate that grows linearly with log SNR. The pre-log factor of the secrecy rate, i.e., the number of secure degrees of freedom, is characterized, revealing an interesting interplay between the numbers of antennas at the three communication nodes. The relationship of the achievable secure degrees of freedom to those obtained in the case without feedback is finally discussed.

KW - Feedback

KW - information-theoretic security

KW - multiple-input multiple-output (MIMO) systems

KW - public channels

KW - wiretap channels

UR - http://www.scopus.com/inward/record.url?scp=77954592247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954592247&partnerID=8YFLogxK

U2 - 10.1109/TIT.2010.2050798

DO - 10.1109/TIT.2010.2050798

M3 - Article

AN - SCOPUS:77954592247

SN - 0018-9448

VL - 56

SP - 3700

EP - 3711

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 8

M1 - 5508616

ER -

Secure communications with insecure feedback: Breaking the high-SNR ceiling

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this