Abstract
This paper investigates the linear precoder design that maximizes the average mutual information of multiple-input multiple-output channels with finite-alphabet inputs and statistical channel state information known at the transmitter. This linear precoder design is an important open problem and is extremely difficult to solve: First, average mutual information lacks closed-form expression and involves complicated computations; Second, the optimization problem over precoder is nonconcave. This study explores the solution to this problem and provides the following contributions: 1) a closed-form lower bound of average mutual information is derived. It achieves asymptotic optimality at low and high signal-to-noise ratio regions and, with a constant shift, offers an accurate approximation to the average mutual information; 2) the optimal structure of the precoder is revealed, and a unified two-step iterative algorithm is proposed to solve this problem. Numerical examples show the convergence and the efficacy of the proposed algorithm. Compared to its conventional counterparts, the proposed linear precoding method provides a significant performance gain. © 2011 IEEE.
Recommended Citation
W. Zeng et al., "On the Linear Precoder Design for MIMO Channels with Finite-alphabet Inputs and Statistical CSI," GLOBECOM - IEEE Global Telecommunications Conference, article no. 6133925, Institute of Electrical and Electronics Engineers, Dec 2011.
The definitive version is available at https://doi.org/10.1109/GLOCOM.2011.6133925
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-142449268-8
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Dec 2011
