This paper investigates the achievable region and precoder design for multiple access wiretap (MAC-WT) channels, where each user transmits both secret and open (i.e., non-confidential) messages. All these messages are intended for the legitimate receiver (or Bob for brevity) and the eavesdropper (Eve) is interested only in the secret messages of all users. By allowing users with zero secret message rate to act as conventional MAC channel users with no wiretapping, we show that the achievable region of the discrete memoryless (DM) MAC-WT channel given in [1] can be enlarged. In [1], the achievability was proven by considering the two-user case, making it possible to prove a key auxiliary lemma by directly using the Fourier-Motzkin elimination procedure. However, this approach does not generalize to the case with any number of users. In this paper, we provide a new region that generally enlarges that in [1] and provide general achievability proof. Furthermore, we consider the Gaussian vector (GV) MAC-WT channel and maximize the sum secrecy rate by precoder design. Although this non-convex problem can be solved by the majorization minimization (MM) technique, this suffers from an extremely high computational complexity. Instead, we propose a simultaneous diagonalization based low-complexity (SDLC) method to maximize the secrecy rate of a simple single-user wiretap channel, and then use this method to iteratively optimize the covariance matrix of each user in the GV MAC-WT channel at hand. Simulation results show that, compared with existing approaches, the SDLC scheme achieves similar secrecy performance but requires much lower complexity. It is also shown that the system spectral efficiency can be significantly increased by simultaneously transmitting secret and open messages.
翻译:本文调查了多存取窃听( MAC-WT) 频道的可实现区域和预编码设计, 每个用户都传输秘密和开放式( 非机密) 信息。 所有这些信息都针对合法的接收器( 或 Bob 用于简便) 和 eavesoper (Eve), 仅对用户的秘密信息感兴趣。 允许使用零秘密信息率的用户作为常规 MAC 频道用户, 没有窃听的用户, 我们显示, 在 [1] 中提供的无记忆的离散( DMAC- WT) 频道的可实现的复杂区域可以扩大。 在 [1] 中, 考虑双用户案例( 即非保密), 就能证明可实现的准确性。 但是, 直接使用 Fourier- Motzkin 消除程序, 和 eaview 窃听器只对所有用户的秘密信息进行概括。 在本文中, 我们提供一个新的区域, 普遍扩大在 [ 1] 中提供普通的可感知性证据。 此外, 我们认为 高额的矢测( GVVDAC- WT 频道) 和 快速化 系统在本次的精确变变现系统上显示一个快速化, 的精确化,, 的系统会显示一个高额 的精确率,, 显示一个基于的精确化 的精确化 。