An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel

被引：0

作者：

Ronit Bustin

Ruoheng Liu

H. Vincent Poor

Shlomo Shamai (Shitz)

机构：

[1] Technion City,Department of Electrical Engineering, Technion

[2] Princeton University,Israel Institute of Technology

来源：

EURASIP Journal on Wireless Communications and Networking | / 2009卷

关键词：

Broadcast Channel; Fundamental Relationship; Gaussian Channel; Secrecy Capacity; Wiretap Channel;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 the missing 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.

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