A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints
In this paper, we consider an optimal zero-forcing beamformer design problem in multi-user multiple-input multiple-output broadcast channel. The minimum user rate is maximized subject to zero-forcing constraints and power constraint on each base station antenna array element. The natural formulation...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Springer Verlag
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/9508 |
| _version_ | 1848745970200739840 |
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| author | Li, Bin Dam, Hai Huyen Cantoni, Antonio Teo, Kok Lay |
| author_facet | Li, Bin Dam, Hai Huyen Cantoni, Antonio Teo, Kok Lay |
| author_sort | Li, Bin |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider an optimal zero-forcing beamformer design problem in multi-user multiple-input multiple-output broadcast channel. The minimum user rate is maximized subject to zero-forcing constraints and power constraint on each base station antenna array element. The natural formulation leads to a nonconvex optimization problem. This problem is shown to be equivalent to a convex optimization problem with linear objective function, linear equality and inequality constraints and quadratic inequality constraints. Here, the indirect elimination method is applied to reduce the convex optimization problem into an equivalent convex optimization problem of lower dimension with only inequality constraints. The primal-dual interior point method is utilized to develop an effective algorithm (in terms of computational efficiency) via solving the modified KKT equations with Newton method. Numerical simulations are carried out. Compared to algorithms based on a trust region interior point method and sequential quadratic programming method, it is observed that the method proposed is much superior in terms of computational efficiency. |
| first_indexed | 2025-11-14T06:25:49Z |
| format | Journal Article |
| id | curtin-20.500.11937-9508 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:25:49Z |
| publishDate | 2013 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-95082017-09-13T14:50:54Z A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints Li, Bin Dam, Hai Huyen Cantoni, Antonio Teo, Kok Lay Primal-dual interior point method Per-antenna power constraints Newton method Zero-forcing beamforming In this paper, we consider an optimal zero-forcing beamformer design problem in multi-user multiple-input multiple-output broadcast channel. The minimum user rate is maximized subject to zero-forcing constraints and power constraint on each base station antenna array element. The natural formulation leads to a nonconvex optimization problem. This problem is shown to be equivalent to a convex optimization problem with linear objective function, linear equality and inequality constraints and quadratic inequality constraints. Here, the indirect elimination method is applied to reduce the convex optimization problem into an equivalent convex optimization problem of lower dimension with only inequality constraints. The primal-dual interior point method is utilized to develop an effective algorithm (in terms of computational efficiency) via solving the modified KKT equations with Newton method. Numerical simulations are carried out. Compared to algorithms based on a trust region interior point method and sequential quadratic programming method, it is observed that the method proposed is much superior in terms of computational efficiency. 2013 Journal Article http://hdl.handle.net/20.500.11937/9508 10.1007/s11590-013-0673-y Springer Verlag restricted |
| spellingShingle | Primal-dual interior point method Per-antenna power constraints Newton method Zero-forcing beamforming Li, Bin Dam, Hai Huyen Cantoni, Antonio Teo, Kok Lay A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title | A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title_full | A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title_fullStr | A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title_full_unstemmed | A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title_short | A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| title_sort | primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints |
| topic | Primal-dual interior point method Per-antenna power constraints Newton method Zero-forcing beamforming |
| url | http://hdl.handle.net/20.500.11937/9508 |