Precoder Design for User-Centric Network Massive MIMO With Matrix Manifold Optimization

In this paper, we investigate the precoder design for user-centric network (UCN) massive multiple-input multiple-output (mMIMO) downlink with matrix manifold optimization. In UCN mMIMO systems, each user terminal (UT) is served by a subset of base stations (BSs) instead of all the BSs, facilitating...

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Veröffentlicht in:IEEE journal on selected areas in communications Jg. 43; H. 3; S. 705 - 719
Hauptverfasser: Sun, Rui, You, Li, Lu, An-An, Sun, Chen, Gao, Xiqi, Xia, Xiang-Gen
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.03.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Antennas
Computational complexity
Design methodology
Euclidean geometry
Euclidean space
Interference
Manifold optimization
Manifolds
Manifolds (mathematics)
Massive MIMO
Next generation networking
Optimization
Precoding
Riemannian submanifold
Simulation
user-centric network massive MIMO
weighted sum rate
ISSN:0733-8716, 1558-0008
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Zusammenfassung:In this paper, we investigate the precoder design for user-centric network (UCN) massive multiple-input multiple-output (mMIMO) downlink with matrix manifold optimization. In UCN mMIMO systems, each user terminal (UT) is served by a subset of base stations (BSs) instead of all the BSs, facilitating the implementation of the system and lowering the dimension of the precoders to be designed. By proving that the precoder set satisfying the per-BS power constraints forms a Riemannian submanifold of a linear product manifold, we transform the constrained precoder design problem in Euclidean space to an unconstrained one on the Riemannian submanifold. Riemannian ingredients, including orthogonal projection, Riemannian gradient, retraction and vector transport, of the problem on the Riemannian submanifold are further derived, with which the Riemannian conjugate gradient (RCG) design method is proposed for solving the unconstrained problem. The proposed method avoids the inverses of large dimensional matrices, which is beneficial in practice. The complexity analyses show the high computational efficiency of RCG precoder design. Simulation results demonstrate the numerical superiority of the proposed precoder design and the high efficiency of the UCN mMIMO system.
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ISSN:0733-8716
1558-0008
DOI:10.1109/JSAC.2025.3536504