An I-MMSE Perspective to the Capacity of the MIMO Gaussian Wiretap Channel
Shlomo Shamai Department of Electrical Engineering Technion - Israel Institute of Technology
Friday, February 5, 2010 11:00 am - 12:00 pm EEB 248
Abstract: The fundamental relationship between information theory and estimation theory in the Gaussian channel, is used for an alternative derivation of the secrecy capacity of the multiple-input multiple-output (MIMO) Gaussian wiretap channel, under a power-covariance constraint.
This approach yields closed form expressions in contrast to non-convex optimization based formulas provided by the standard different approaches (Khisti-Wornell, Oggier-Hassibi, Liu-Shamai). Furthermore, the input covariance matrix required in order to attain the capacity is specified, and the current technique provides also some insight into the concept of enhancement, and alternative expressions applied to this problem by Liu-Shamai. An alternative expression for the secrecy capacity of the MIMO Gaussian wiretap channel by Liu-Liu-Poor-Shamai is also examined via the information-estimation perspective. A short outlook will conclude the talk.
The talk is based on a joint work with R. Bustin, Technion, R. Liu and V. Poor, Princeton University.
Biography: Shlomo Shamai (Shitz) (S'80–M'82–SM'89–F'94) received the B.Sc., M.Sc., and Ph.D. degrees in electrical engineering from the Technion—Israel Institute of Technology, in 1975, 1981 and 1986 respectively. During 1975-1985 he was with the Communications Research Labs in the capacity of a Senior Research Engineer. Since 1986 he is with the Department of Electrical Engineering, Technion—Israel Institute of Technology, where he is now the William Fondiller Professor of Telecommunications. His research interests encompass a wide spectrum of topics in information theory and statistical communications. He is especially interested in theoretical limits in communication with practical constraints, multi-user information theory and spread spectrum systems, multiple-input-multiple-output communications systems, information theoretic models for wireless networks and systems, information theoretic aspects of magnetic recording, channel coding, combined modulation and coding, turbo codes and LDPC, in channel, source, and combined source-channel applications, iterative detection and decoding algorithms, coherent and noncoherent detection and information theoretic aspects of digital communication in optical channels. Dr. Shamai (Shitz) is a member of the Union Radio Scientifique Internationale (URSI). He is the recipient of the 1999 van der Pol Gold Medal of URSI, and a co-recipient of the 2000 IEEE Donald G. Fink Prize Paper Award, the 2003, and the 2004 Joint IT/COM Societies Paper Award, and the 2007 Information Theory Society Paper Award. He is also the recipient of the 1985 Alon Grant for distinguished young scientists and the 2000 Technion Henry Taub Prize for Excellence in Research. He has served as Associate Editor for the Shannon Theory of the IEEE Transactions on Information Theory, and also serves on the Board of Governors of the Information Theory Society.