A Note on the Secrecy Capacity of the Multiple-Antenna Wiretap Channel

Author

Tie Liu ; Shamai, S.

Author_Institution

Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX

Volume

55

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

2547

Lastpage

2553

Abstract

The secrecy capacity of the multiple-antenna wiretap channel under the average total power constraint was recently characterized, independently, by Khisti and Wornell and Oggier and Hassibi using a Sato-like argument and matrix analysis tools. This paper presents an alternative characterization of the secrecy capacity of the multiple-antenna wiretap channel under a more general matrix constraint on the channel input using a channel-enhancement argument. This characterization is by nature information-theoretic and is directly built on the intuition regarding to the optimal transmission strategy in this communication scenario.

Keywords

antenna arrays; channel capacity; matrix algebra; average total power constraint; channel capacity; matrix analysis tool; matrix constraint; multiple-antenna wiretap channel; optimal transmission; Additive noise; Capacity planning; Cities and towns; Costs; Covariance matrix; Decoding; Degradation; Information theory; Receiving antennas; Wireless communication; Channel enhancement; multiple-antenna communications; wiretap channel;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2009.2018322

Filename

4957657