Title
An MMSE approach to the secrecy capacity of the MIMO Gaussian wiretap channel
Abstract
This paper provides a closed-form expression for the secrecy capacity of the multiple-input multiple output (MIMO) Gaussian wiretap channel, under a power-covariance constraint. Furthermore, the paper specifies the input covariance matrix required in order to attain the capacity. The proof uses the fundamental relationship between information theory and estimation theory in the Gaussian channel, relating the derivative of the mutual information to the minimum mean-square error (MMSE). The proof provides themissing intuition regarding the existence and construction of an enhanced degraded channel that does not increase the secrecy capacity. The concept of enhancement has been used in a previous proof of the problem. Furthermore, the proof presents methods that can be used in proving other MIMO problems, using this fundamental relationship.
Year
DOI
Venue
2009
10.1155/2009/370970
EURASIP J. Wireless Comm. and Networking
Keywords
DocType
Volume
Broadcast Channel, Fundamental Relationship, Gaussian Channel, Secrecy Capacity, Wiretap Channel
Conference
2009,
Issue
ISSN
Citations 
1
1687-1499
26
PageRank 
References 
Authors
2.50
17
4
Name
Order
Citations
PageRank
Ronit Bustin1528.94
Ruoheng Liu270848.20
H. V. Poor3254111951.66
Shlomo Shamai44531410.89