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Multi-Antenna Gaussian Broadcast Channels with Confidential Messages

2008/04/26 by Ruoheng Liu, H. Vincent Poor, Liu, Ruoheng +1
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #cs.CR #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.0804.4195

Proceedings of the 2008 IEEE International Symposium on Information Theory, Toronto, ON, Canada, July 6-11, 2008

arxiv created 2008/04/26 · openalex publication_date 2008/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In wireless data networks, communication is particularly susceptible to eavesdropping due to its broadcast nature. Security and privacy systems have become critical for wireless providers and enterprise networks. This paper considers the problem of secret communication over a Gaussian broadcast channel, where a multi-antenna transmitter sends independent confidential messages to two users with information-theoretic secrecy. That is, each user would like to obtain its own confidential message in a reliable and safe manner. This communication model is referred to as the multi-antenna Gaussian broadcast channel with confidential messages (MGBC-CM). Under this communication scenario, a secret dirty-paper coding scheme and the corresponding achievable secrecy rate region are first developed based on Gaussian codebooks. Next, a computable Sato-type outer bound on the secrecy capacity region is provided for the MGBC-CM. Furthermore, the Sato-type outer bound proves to be consistent with the boundary of the secret dirty-paper coding achievable rate region, and hence, the secrecy capacity region of the MGBC-CM is established. Finally, a numerical example demonstrates that both users can achieve positive rates simultaneously under the information-theoretic secrecy requirement.

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