Matrix Manifold Precoder Design for User-Centric Network Massive MIMO
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 the base stations (BSs) instead of all BSs, lowering the...
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| Veröffentlicht in: | IEEE Global Communications Conference (Online) S. 4046 - 4051 |
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IEEE
08.12.2024
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| ISSN: | 2576-6813 |
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| Abstract | 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 the base stations (BSs) instead of all BSs, lowering the dimension of the precoders to be designed. Each BS in the system has a power constraint. By proving that the precoder set satisfying the constraints forms a Riemannian submanifold, we transform the constrained precoder design problem in Euclidean space as 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. The complexity analyses show the high efficiency of RCG precoder design. Simulation results demonstrate the superiority of the proposed precoder design and the high efficiency of the UCN mMIMO system. |
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| AbstractList | 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 the base stations (BSs) instead of all BSs, lowering the dimension of the precoders to be designed. Each BS in the system has a power constraint. By proving that the precoder set satisfying the constraints forms a Riemannian submanifold, we transform the constrained precoder design problem in Euclidean space as 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. The complexity analyses show the high efficiency of RCG precoder design. Simulation results demonstrate the superiority of the proposed precoder design and the high efficiency of the UCN mMIMO system. |
| Author | Gao, Xiqi Sun, Chen Xia, Xiang-Gen Xiang, Ziyu You, Li Sun, Rui Lu, An-An |
| Author_xml | – sequence: 1 givenname: Rui surname: Sun fullname: Sun, Rui email: ruisun@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 2 givenname: Li surname: You fullname: You, Li email: lyou@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 3 givenname: An-An surname: Lu fullname: Lu, An-An email: aalu@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 4 givenname: Chen surname: Sun fullname: Sun, Chen email: sunchen@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 5 givenname: Ziyu surname: Xiang fullname: Xiang, Ziyu email: ziyuxiang@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 6 givenname: Xiqi surname: Gao fullname: Gao, Xiqi email: xqgao@seu.edu.cn organization: Southeast University,National Mobile Communications Research Laboratory,Nanjing,China,210096 – sequence: 7 givenname: Xiang-Gen surname: Xia fullname: Xia, Xiang-Gen email: xxia@ee.udel.edu organization: University of Delaware,Department of Electrical and Computer Engineering,Newark,USA,DE 19716 |
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| Snippet | In this paper, we investigate the precoder design for user-centric network (UCN) massive multiple-input multiple-output (mMIMO) downlink with matrix manifold... |
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| SubjectTerms | Complexity theory Global communication Manifold optimization Manifolds Massive MIMO Optimization Performance gain Precoding Riemannian submanifold Simulation Transforms user-centric network massive MIMO Vectors |
| Title | Matrix Manifold Precoder Design for User-Centric Network Massive MIMO |
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