NDLI: The Secrecy Capacity of Compound Gaussian MIMO Wiretap Channels

Content Provider	IEEE Xplore Digital Library
Author	Schaefer, R.F. Loyka, S.
Copyright Year	1963
Abstract	Strong secrecy capacity of compound wiretap channels is studied. The known lower bounds for the secrecy capacity of compound finite-state memoryless channels under discrete alphabets are extended to arbitrary uncertainty sets and continuous alphabets under the strong secrecy criterion. The conditions under which these bounds are tight are given. Under the saddle-point condition, the compound secrecy capacity is shown to be equal to that of the worst-case channel. Based on this, the compound Gaussian multiple-input multiple-output wiretap channel is studied under the spectral norm constraint and without the degradedness assumption. First, it is assumed that only the eavesdropper channel is unknown, but is known to have a bounded spectral norm (maximum channel gain). The compound secrecy capacity is established in a closed form and the optimal signaling is identified. The compound capacity equals the worst-case channel capacity and thus establishing the saddlepoint property; the optimal signaling is Gaussian and on the eigenvectors of the legitimate channel and the worst-case eavesdropper is isotropic. The eigenmode power allocation somewhat resembles the standard water-filling but is not identical to it. More general uncertainty sets are considered and the existence of a maximum element is shown to be sufficient for a saddle-point to exist, so that signaling on the worst-case channel achieves the compound capacity of the whole class of channels. The case of rank-constrained eavesdropper is considered and the respective compound secrecy capacity is established. Subsequently, the case of additive uncertainty in the legitimate channel, in addition to the unknown eavesdropper channel, is studied. Its compound secrecy capacity and the optimal signaling are established in a closed form as well, revealing the same saddle-point property. When a saddle-point exists under strong secrecy, strong and weak secrecy compound capacities are equal.
Sponsorship	IEEE Information Theory Society
Starting Page	5535
Ending Page	5552
Page Count	18
File Size	513045
File Format	PDF
ISSN	00189448
Volume Number	61
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Compounds Uncertainty MIMO Transmitters Receivers Wireless communication Security saddle-point Wiretap channel compound channel strong secrecy worst-case
Content Type	Text
Resource Type	Article
Subject	Computer Science Applications Library and Information Sciences Information Systems

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Mr. Siddhartha Mukherjee siddhartha@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	ndl-support@iitkgp.ac.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Libarray of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Degraded Compound Multi-Receiver Wiretap Channels

On the Secrecy Capacity of Rank-Deficient Compound Wiretap Channels

The secrecy capacity of a compound MIMO Gaussian channel

Optimal input covariance for achieving secrecy capacity in Gaussian MIMO wiretap channels

On the secrecy capacity of fading Gaussian wiretap channel

Optimal transceiver design for wiretap channels with side information

Secrecy Degrees of Freedom of MIMO Broadcast Channels With Delayed CSIT

Filter design for MIMO Gaussian wiretap channel

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

The Secrecy Capacity of Compound Gaussian MIMO Wiretap Channels

Similar Documents

Degraded Compound Multi-Receiver Wiretap Channels

On the Secrecy Capacity of Rank-Deficient Compound Wiretap Channels

The secrecy capacity of a compound MIMO Gaussian channel

Optimal input covariance for achieving secrecy capacity in Gaussian MIMO wiretap channels

On the secrecy capacity of fading Gaussian wiretap channel

Optimal transceiver design for wiretap channels with side information

Secrecy Degrees of Freedom of MIMO Broadcast Channels With Delayed CSIT

Filter design for MIMO Gaussian wiretap channel

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

The Secrecy Capacity of Compound Gaussian MIMO Wiretap Channels