Hybrid Precoding for Millimeter Wave MIMO Systems with Finite-Alphabet Inputs
This paper investigates the hybrid precoding design for millimeter wave (mmWave) multiple-input multiple- output (MIMO) systems with finite alphabet inputs. The precoding problem is a joint optimization of analog and digital precoders,and it imposes nonconvex constant modulus constraints on the analog precoder. We treat this problem as a matrix factorization problem with constant modulus constraints. The main contributions of our work are listed as follows: First, we propose sufficient and necessary conditions for hybrid precoding schemes to realize any unconstrained optimal precoders exactly when the number of data streams is equal to the number of radio frequency chains. Second, we show that the power constraint in the hybrid precoding problem can be removed without loss of optimality. Third, we present a trust region Newton method to solve our problem using gradient and Hessian information, and the proposed algorithm converges to a stationary point satisfying the first and second order necessary optimality conditions. Several numerical examples are provided to show that the proposed algorithm outperforms existing hybrid precoding algorithms.
J. Jin et al., "Hybrid Precoding for Millimeter Wave MIMO Systems with Finite-Alphabet Inputs," Proceedings of the 2017 IEEE Global Communications Conference (2017, Singapore, Singapore), vol. 17, Institute of Electrical and Electronics Engineers (IEEE), Dec 2018.
The definitive version is available at https://doi.org/10.1109/GLOCOM.2017.8254859
2017 IEEE Global Communications Conference, GLOBECOM 2017 (2017: Dec. 4-8, Singapore, Singapore)
Electrical and Computer Engineering
National Science Foundation (U.S.)
Natural Science Foundation of China
Shanghai Key Fundamental Research Project
National Science and Technology Major Project of China
Ministry of Science and Technology of the People's Republic of China. 863 Program
Keywords and Phrases
Factorization; Matrix algebra; Millimeter waves (mmwave); MIMO systems; Newton-Raphson method; Constant modulus constraints; Finite-alphabet inputs; Joint optimization; Matrix factorizations; Necessary optimality condition; Radio frequency chains; Sufficient and necessary condition; Problem solving
International Standard Book Number (ISBN)
Article - Conference proceedings
© 2018 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Dec 2018