Abstract
Conditional mutual information (CMI) analysis and precoding design for generally correlated wireless multi-hop multi-input multi-output (MIMO) channels are presented in this paper. Although some particular scenarios have been examined in existing publications, this paper investigates a generally correlated transmission system having spatially correlated channel, mutually correlated source symbols, and additive colored Gaussian noise (ACGN). First, without precoding techniques, we derive the optimized source symbol covariances upon mutual information maximization. Secondly, we apply a precoding technique and then design the precoder in two cases: maximizing the mutual information and minimizing the detection error. Since the optimal design for the end-to-end system cannot be analytically obtained in closed form due to the non-monotonic nature, we relax the optimization problem and attain sub-optimal designs in closed form. Simulation results show that without precoding, the average mutual information obtained by the asymptotic design is very close to the one obtained by the optimal design, while saving a huge computational complexity. When having the proposed precoding matrices, the end-to-end mutual information significantly increases while it does not require resources of the system such as transmission power or bandwidth.
Highlights
With the fast-paced development of computing technologies, wireless devices have enough computation and communication capabilities to support various multimedia applications
multi-input multi-output (MIMO) has been adopted by almost all new LTE, 3GPP, 3GPP2, and IEEE standards for wireless broadband transmission to support wireless multimedia applications [2,3,4,5,6,7]
The pervasive use of computing devices such as laptop computers, PDAs, smart phones, automotive computing devices, wearable computers, and video sensors leads to a fast-growing deployment of wireless mesh networks (WMN) [14] to connect these computing devices by a multi-hop wireless channel
Summary
With the fast-paced development of computing technologies, wireless devices have enough computation and communication capabilities to support various multimedia applications. In [26,27], the authors assumed that there is no noise at relay nodes, and the number of antennas is very large Since these assumptions are not feasible in compact MIMO design with mutual interference, in this paper, we consider a generally correlated system at the wireless fading channel, data symbols, and additive colored Gaussian noises (ACGN). A ≤ B (A < B, respectively) for symmetric matrices A and B means that B − A is a positive semi-definite (definite, respectively) Hermitian matrix
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