Robust Precoding for 3D Massive MIMO with Riemannian Manifold Optimization

This paper investigates robust downlink precoding for three-dimensional (3D) massive multi-input multi-output (MIMO) configuration with matrix manifold optimization. Starting with a posteriori channel model, we formulate the robust precoder design to maximize an upper bound of ergodic weighted sum-r...

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Published in:IEEE Wireless Communications and Networking Conference : [proceedings] : WCNC pp. 1341 - 1346
Main Authors: Wang, Chen, Lu, An-An, Gao, Xiqi, Ding, Zhi
Format: Conference Proceeding
Language:English
Published: IEEE 10.04.2022
Subjects:
3D massive MIMO
Downlink
generalized eigenvalue problem
Linear programming
Manifolds
Massive MIMO
matrix manifold optimization
Precoding
robust precoding
Three-dimensional displays
Upper bound
ISSN:1558-2612
Online Access:Get full text
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Abstract This paper investigates robust downlink precoding for three-dimensional (3D) massive multi-input multi-output (MIMO) configuration with matrix manifold optimization. Starting with a posteriori channel model, we formulate the robust precoder design to maximize an upper bound of ergodic weighted sum-rate under a total power budget. We derive the generalized eigenvector structure for optimal precoder with matrix manifold optimization. However, since the precoding of multiple users is coupled in the structure, we maximize the objective function for each user in alternation and prove the solution of each individual problem is the generalized eigenvector corresponding to the maximum generalized eigenvalue. In accordance with this, we present an iterative algorithm to design the precoder. Furthermore, we propose a Riemannian conjugate gradient (RCG) method to solve the generalized eigenvalue problem (GEP) for higher efficiency in the precoder design algorithm.
AbstractList This paper investigates robust downlink precoding for three-dimensional (3D) massive multi-input multi-output (MIMO) configuration with matrix manifold optimization. Starting with a posteriori channel model, we formulate the robust precoder design to maximize an upper bound of ergodic weighted sum-rate under a total power budget. We derive the generalized eigenvector structure for optimal precoder with matrix manifold optimization. However, since the precoding of multiple users is coupled in the structure, we maximize the objective function for each user in alternation and prove the solution of each individual problem is the generalized eigenvector corresponding to the maximum generalized eigenvalue. In accordance with this, we present an iterative algorithm to design the precoder. Furthermore, we propose a Riemannian conjugate gradient (RCG) method to solve the generalized eigenvalue problem (GEP) for higher efficiency in the precoder design algorithm.
Author Gao, Xiqi
Wang, Chen
Ding, Zhi
Lu, An-An
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  givenname: An-An
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  givenname: Xiqi
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  organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096
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  givenname: Zhi
  surname: Ding
  fullname: Ding, Zhi
  email: zding@ucdavis.ca
  organization: University of California,Department of Electrical and Computer Engineering,Davis,CA,USA,95616
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Snippet This paper investigates robust downlink precoding for three-dimensional (3D) massive multi-input multi-output (MIMO) configuration with matrix manifold...
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StartPage 1341
SubjectTerms 3D massive MIMO
Downlink
generalized eigenvalue problem
Linear programming
Manifolds
Massive MIMO
matrix manifold optimization
Precoding
robust precoding
Three-dimensional displays
Upper bound
Title Robust Precoding for 3D Massive MIMO with Riemannian Manifold Optimization
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