Multiple-Input Multiple-Output Gaussian Broadcast Channels with Confidential Messages
Information Theory
2009-03-24 v1 Cryptography and Security
math.IT
Abstract
This paper considers the problem of secret communication over a two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel. The transmitter has two independent messages, each of which is intended for one of the receivers but needs to be kept asymptotically perfectly secret from the other. It is shown that, surprisingly, under a matrix power constraint both messages can be simultaneously transmitted at their respective maximal secrecy rates. To prove this result, the MIMO Gaussian wiretap channel is revisited and a new characterization of its secrecy capacity is provided via a new coding scheme that uses artificial noise and random binning.
Cite
@article{arxiv.0903.3786,
title = {Multiple-Input Multiple-Output Gaussian Broadcast Channels with Confidential Messages},
author = {Ruoheng Liu and Tie Liu and H. Vincent Poor and Shlomo Shamai},
journal= {arXiv preprint arXiv:0903.3786},
year = {2009}
}
Comments
Submitted to the IEEE Transactions on Information Theory, March 2009