Linear Precoder Optimization for MIMO Systems with Joint Power Constraints
This paper considers linear precoder optimization problems for multiple-input multiple-output (MIMO) systems. In addition to the conventionally used sum-power constraint, maximum eigenvalue constraint on the precoding matrix is also considered so as to account for power limitations imposed on each a...
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| Vydané v: | IEEE transactions on communications Ročník 60; číslo 8; s. 2240 - 2254 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.08.2012
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0090-6778 |
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| Abstract | This paper considers linear precoder optimization problems for multiple-input multiple-output (MIMO) systems. In addition to the conventionally used sum-power constraint, maximum eigenvalue constraint on the precoding matrix is also considered so as to account for power limitations imposed on each antenna by the linearity of its own power amplifier in practical implementations. A framework employing directional derivative is developed to obtain optimal precoder designs for different criteria including maximizing the information rate and minimizing the sum of mean-square error (MSE). It turns out that power allocations in such situations are piecewise linear in sum-power space. The piecewise linear property allows us to generate the entire path of solution through finding out a finite number of breakpoints. A Homotopy-type algorithm is then proposed to obtain the solution for an arbitrary sum-power constraint. The number of breakpoints to be determined in our exact piecewise linear solution is in fact only about two times of the number of transmit antennas, so that our method is super fast and outperforms existing approximate solutions in the literature in both effectiveness and efficiency. Simulated experiments are performed to verify our theoretical analysis. |
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| AbstractList | This paper considers linear precoder optimization problems for multiple-input multiple-output (MIMO) systems. In addition to the conventionally used sum-power constraint, maximum eigenvalue constraint on the precoding matrix is also considered so as to account for power limitations imposed on each antenna by the linearity of its own power amplifier in practical implementations. A framework employing directional derivative is developed to obtain optimal precoder designs for different criteria including maximizing the information rate and minimizing the sum of mean-square error (MSE). It turns out that power allocations in such situations are piecewise linear in sum-power space. The piecewise linear property allows us to generate the entire path of solution through finding out a finite number of breakpoints. A Homotopy-type algorithm is then proposed to obtain the solution for an arbitrary sum-power constraint. The number of breakpoints to be determined in our exact piecewise linear solution is in fact only about two times of the number of transmit antennas, so that our method is super fast and outperforms existing approximate solutions in the literature in both effectiveness and efficiency. Simulated experiments are performed to verify our theoretical analysis. |
| Author | Xu, Weichao Chang, Chunqi Ye, Zhongfu Dai, Jisheng |
| Author_xml | – sequence: 1 givenname: Jisheng surname: Dai fullname: Dai, Jisheng organization: School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China – sequence: 2 givenname: Chunqi surname: Chang fullname: Chang, Chunqi organization: Department of Electrical and Electronic Engineering, Department of Linguistics, and the State Key Lab of Brain and Cognitive Sciences, The University of Hong Kong, Pokfulam Road, Hong Kong – sequence: 3 givenname: Weichao surname: Xu fullname: Xu, Weichao organization: Department of Automatic Control, Faculty of Automation, Guangdong University of Technology, Guangzhou, 510006, China – sequence: 4 givenname: Zhongfu surname: Ye fullname: Ye, Zhongfu organization: Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, Anhui, 230027, China |
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| Keywords | Performance evaluation Multiple-input multiple-output (MIMO) Information rate Eigenvalue piecewise linear method Power allocation minimum mean-square error (MMSE) Implementation Optimization Optimal design Mean square error Coding Gaussian broadcast channel directional derivative Pretreatment MIMO system Breakpoint Coding circuit water-filling principle Algorithm Information transmission Exact solution Transmitting antenna Homotopy Linearity Power amplifier Approximate solution Piecewise linearization |
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| SubjectTerms | Antennas Applied sciences Coding, codes directional derivative Eigenvalues and eigenfunctions Exact sciences and technology Gaussian broadcast channel homotopy Information rates Information, signal and communications theory Joints MIMO minimum mean-square error (MMSE) Multiple-input multiple-output (MIMO) Optimization piecewise linear method Radiocommunications Resource management Signal and communications theory Symmetric matrices Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) water-filling principle |
| Title | Linear Precoder Optimization for MIMO Systems with Joint Power Constraints |
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