Capacity of cognitive interference channels with and without secrecy

Yingbin Liang; Anelia Somekh-Baruch; H. Vincent Poor; Shlomo Shamai; Sergio Verdú

doi:10.1109/tit.2008.2009584

Capacity of cognitive interference channels with and without secrecy

Yingbin Liang, Anelia Somekh-Baruch, H. Vincent Poor, Shlomo Shamai, Sergio Verdú

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

140 Scopus citations

Abstract

Like the conventional two-user interference channel, the cognitive interference channel consists of two transmitters whose signals interfere at two receivers. It is assumed that there is a common message (message 1) known to both transmitters, and an additional independent message (message 2) known only to the cognitive transmitter (transmitter 2). The cognitive receiver (receiver 2) needs to decode messages 1 and 2, while the noncognitive receiver (receiver 1) should decode only message 1. Furthermore, message 2 is assumed to be a confidential message which needs to be kept as secret as possible from receiver 1, which is viewed as an eavesdropper with regard to message 2. The level of secrecy is measured by the equivocation rate. In this paper, a single-letter expression for the capacity-equivocation region of the discrete memoryless cognitive interference channel is obtained. The capacity-equivocation region for the Gaussian cognitive interference channel is also obtained explicitly. Moreover, particularizing the capacity-equivocation region to the case without a secrecy constraint, the capacity region for the two-user cognitive interference channel is obtained, by providing a converse theorem.

Original language	English
Pages (from-to)	604-619
Number of pages	16
Journal	IEEE Transactions on Information Theory
Volume	55
Issue number	2
DOIs	https://doi.org/10.1109/tit.2008.2009584
State	Published - 2009
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received December 18, 2007; revised September 30, 2008. Current version published February 04, 2009. The material in this paper was presented in part at the 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, September 2007. The work of Y. Liang and H. V. Poor was supported by the National Science Foundation under Grants ANI-03-38807, CNS-06-25637, and CCF-07-28208. The work of A. Somekh-Baruch was supported by a Marie Curie Outgoing International Fellowship within the 6th European Community Framework Programme. The work of S. Shamai and S. Verdú was supported by the US–Israel Binational Science Foundation. The work of S. Verdú was also supported by the National Science Foundation under Grant CCF-0635154.

Funding Information:
Dr. Somekh-Baruch received the Tel-Aviv University program for outstanding B.Sc. students scholarship, the Viterbi scholarship, the Rothschild foundation scholarship for postdoctoral studies, and the Marie Curie Outgoing International Fellowship.

Keywords

Capacity-equivocation region
Cognitive communication
Confidential messages
Interference channel
Rate splitting
Secrecy capacity region

Access to Document

10.1109/tit.2008.2009584

Cite this

@article{943d76c1b42248f88cf12e9746ef6499,

title = "Capacity of cognitive interference channels with and without secrecy",

abstract = "Like the conventional two-user interference channel, the cognitive interference channel consists of two transmitters whose signals interfere at two receivers. It is assumed that there is a common message (message 1) known to both transmitters, and an additional independent message (message 2) known only to the cognitive transmitter (transmitter 2). The cognitive receiver (receiver 2) needs to decode messages 1 and 2, while the noncognitive receiver (receiver 1) should decode only message 1. Furthermore, message 2 is assumed to be a confidential message which needs to be kept as secret as possible from receiver 1, which is viewed as an eavesdropper with regard to message 2. The level of secrecy is measured by the equivocation rate. In this paper, a single-letter expression for the capacity-equivocation region of the discrete memoryless cognitive interference channel is obtained. The capacity-equivocation region for the Gaussian cognitive interference channel is also obtained explicitly. Moreover, particularizing the capacity-equivocation region to the case without a secrecy constraint, the capacity region for the two-user cognitive interference channel is obtained, by providing a converse theorem.",

keywords = "Capacity-equivocation region, Cognitive communication, Confidential messages, Interference channel, Rate splitting, Secrecy capacity region",

author = "Yingbin Liang and Anelia Somekh-Baruch and Poor, {H. Vincent} and Shlomo Shamai and Sergio Verd{\'u}",

note = "Funding Information: Manuscript received December 18, 2007; revised September 30, 2008. Current version published February 04, 2009. The material in this paper was presented in part at the 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, September 2007. The work of Y. Liang and H. V. Poor was supported by the National Science Foundation under Grants ANI-03-38807, CNS-06-25637, and CCF-07-28208. The work of A. Somekh-Baruch was supported by a Marie Curie Outgoing International Fellowship within the 6th European Community Framework Programme. The work of S. Shamai and S. Verd{\'u} was supported by the US–Israel Binational Science Foundation. The work of S. Verd{\'u} was also supported by the National Science Foundation under Grant CCF-0635154. Funding Information: Dr. Somekh-Baruch received the Tel-Aviv University program for outstanding B.Sc. students scholarship, the Viterbi scholarship, the Rothschild foundation scholarship for postdoctoral studies, and the Marie Curie Outgoing International Fellowship.",

year = "2009",

doi = "10.1109/tit.2008.2009584",

language = "אנגלית",

volume = "55",

pages = "604--619",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

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

number = "2",

}

TY - JOUR

T1 - Capacity of cognitive interference channels with and without secrecy

AU - Liang, Yingbin

AU - Somekh-Baruch, Anelia

AU - Poor, H. Vincent

AU - Shamai, Shlomo

AU - Verdú, Sergio

N1 - Funding Information: Manuscript received December 18, 2007; revised September 30, 2008. Current version published February 04, 2009. The material in this paper was presented in part at the 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, September 2007. The work of Y. Liang and H. V. Poor was supported by the National Science Foundation under Grants ANI-03-38807, CNS-06-25637, and CCF-07-28208. The work of A. Somekh-Baruch was supported by a Marie Curie Outgoing International Fellowship within the 6th European Community Framework Programme. The work of S. Shamai and S. Verdú was supported by the US–Israel Binational Science Foundation. The work of S. Verdú was also supported by the National Science Foundation under Grant CCF-0635154. Funding Information: Dr. Somekh-Baruch received the Tel-Aviv University program for outstanding B.Sc. students scholarship, the Viterbi scholarship, the Rothschild foundation scholarship for postdoctoral studies, and the Marie Curie Outgoing International Fellowship.

PY - 2009

Y1 - 2009

N2 - Like the conventional two-user interference channel, the cognitive interference channel consists of two transmitters whose signals interfere at two receivers. It is assumed that there is a common message (message 1) known to both transmitters, and an additional independent message (message 2) known only to the cognitive transmitter (transmitter 2). The cognitive receiver (receiver 2) needs to decode messages 1 and 2, while the noncognitive receiver (receiver 1) should decode only message 1. Furthermore, message 2 is assumed to be a confidential message which needs to be kept as secret as possible from receiver 1, which is viewed as an eavesdropper with regard to message 2. The level of secrecy is measured by the equivocation rate. In this paper, a single-letter expression for the capacity-equivocation region of the discrete memoryless cognitive interference channel is obtained. The capacity-equivocation region for the Gaussian cognitive interference channel is also obtained explicitly. Moreover, particularizing the capacity-equivocation region to the case without a secrecy constraint, the capacity region for the two-user cognitive interference channel is obtained, by providing a converse theorem.

AB - Like the conventional two-user interference channel, the cognitive interference channel consists of two transmitters whose signals interfere at two receivers. It is assumed that there is a common message (message 1) known to both transmitters, and an additional independent message (message 2) known only to the cognitive transmitter (transmitter 2). The cognitive receiver (receiver 2) needs to decode messages 1 and 2, while the noncognitive receiver (receiver 1) should decode only message 1. Furthermore, message 2 is assumed to be a confidential message which needs to be kept as secret as possible from receiver 1, which is viewed as an eavesdropper with regard to message 2. The level of secrecy is measured by the equivocation rate. In this paper, a single-letter expression for the capacity-equivocation region of the discrete memoryless cognitive interference channel is obtained. The capacity-equivocation region for the Gaussian cognitive interference channel is also obtained explicitly. Moreover, particularizing the capacity-equivocation region to the case without a secrecy constraint, the capacity region for the two-user cognitive interference channel is obtained, by providing a converse theorem.

KW - Capacity-equivocation region

KW - Cognitive communication

KW - Confidential messages

KW - Interference channel

KW - Rate splitting

KW - Secrecy capacity region

UR - http://www.scopus.com/inward/record.url?scp=61349186445&partnerID=8YFLogxK

U2 - 10.1109/tit.2008.2009584

DO - 10.1109/tit.2008.2009584

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:61349186445

SN - 0018-9448

VL - 55

SP - 604

EP - 619

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 2

ER -

Capacity of cognitive interference channels with and without secrecy

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this