Abstract
We study the design optimization of linear precoders that maximize the mutual information in complex-valued vector Gaussian channels under finite alphabet inputs. It is well known that mutual information of a vector channel with discrete constellation source is a highly nonlinear and nonconcave function of the linear precoder matrix G, thereby complicating the precoder design optimization. in this paper, we show that the mutual information is a concave function of W = GhHhHG, where H is the complex-valued channel matrix and superscript "h" represents conjugate transpose. We further propose an iterative algorithm for solving the globally optimal linear precoder G. Illustrative results show that the proposed iterative algorithm is very robust and efficient for global convergence. © 2011 IEEE.
Recommended Citation
C. Xiao et al., "Design Optimization of Linear Precoders for Complex Vector Gaussian Channelswith Finite Alphabet Inputs," ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, pp. 3272 - 3275, article no. 5946720, Institute of Electrical and Electronics Engineers, Aug 2011.
The definitive version is available at https://doi.org/10.1109/ICASSP.2011.5946720
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
global optimization; Linear precoder; mutual information; vector Gaussian noise channel
International Standard Book Number (ISBN)
978-145770539-7
International Standard Serial Number (ISSN)
1520-6149
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
18 Aug 2011
