Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold
In the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is important. Usually, the CSI can be obtained by the...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8765734/ |
| _version_ | 1818643927879647232 |
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| author | Wen Zhou Xutao Li Junjuan Xia Wanguo Jiao Min Hua |
| author_facet | Wen Zhou Xutao Li Junjuan Xia Wanguo Jiao Min Hua |
| author_sort | Wen Zhou |
| collection | DOAJ |
| description | In the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is important. Usually, the CSI can be obtained by the training-based channel estimation. Assuming that the users have the channels' statistical information and adopt the minimum mean-square-error (MMSE) receivers, this paper studies how to design an optimal training sequence to minimize the total weighted mean square error (MSE) of channel estimation. Following this objective, we formulate this problem as a positive semidefinite problem (SDP) with two constraints, and further transform it into a dual problem. In the solving process of the dual problem, we model it as an optimization problem on the positive definite matrix manifold and solve it by use of the iterative geodesic equation on the matrix manifold. The convergence and correctness of the proposed method are demonstrated by computer simulation; the effects of key system parameters on the weighted MSE are also investigated. Under various system configurations, the superiority of the proposed method is shown by comparing with a few other existing schemes. |
| first_indexed | 2024-12-17T00:06:44Z |
| format | Article |
| id | doaj.art-4137cd2784df4dfea4d7206970ed921c |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T00:06:44Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-4137cd2784df4dfea4d7206970ed921c2022-12-21T22:10:56ZengIEEEIEEE Access2169-35362019-01-017995899960110.1109/ACCESS.2019.29295848765734Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix ManifoldWen Zhou0https://orcid.org/0000-0003-4831-3375Xutao Li1Junjuan Xia2https://orcid.org/0000-0003-2787-6582Wanguo Jiao3https://orcid.org/0000-0002-2075-3312Min Hua4College of Information Science and Technology, Nanjing Forestry University, Nanjing, ChinaElectronic Engineering Department, Shantou University, Shantou, ChinaSchool of Computer Science and Educational Software, Guangzhou University, Guangzhou, ChinaCollege of Information Science and Technology, Nanjing Forestry University, Nanjing, ChinaCollege of Information Science and Technology, Nanjing Forestry University, Nanjing, ChinaIn the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is important. Usually, the CSI can be obtained by the training-based channel estimation. Assuming that the users have the channels' statistical information and adopt the minimum mean-square-error (MMSE) receivers, this paper studies how to design an optimal training sequence to minimize the total weighted mean square error (MSE) of channel estimation. Following this objective, we formulate this problem as a positive semidefinite problem (SDP) with two constraints, and further transform it into a dual problem. In the solving process of the dual problem, we model it as an optimization problem on the positive definite matrix manifold and solve it by use of the iterative geodesic equation on the matrix manifold. The convergence and correctness of the proposed method are demonstrated by computer simulation; the effects of key system parameters on the weighted MSE are also investigated. Under various system configurations, the superiority of the proposed method is shown by comparing with a few other existing schemes.https://ieeexplore.ieee.org/document/8765734/PilotMIMO broadcastingpositive definite matrix manifold |
| spellingShingle | Wen Zhou Xutao Li Junjuan Xia Wanguo Jiao Min Hua Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold IEEE Access Pilot MIMO broadcasting positive definite matrix manifold |
| title | Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold |
| title_full | Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold |
| title_fullStr | Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold |
| title_full_unstemmed | Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold |
| title_short | Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold |
| title_sort | optimal pilot design for mimo broadcasting systems based on the positive definite matrix manifold |
| topic | Pilot MIMO broadcasting positive definite matrix manifold |
| url | https://ieeexplore.ieee.org/document/8765734/ |
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