MIMO Detection for High Order QAM by Canonical Dual Approach
We develop a canonical dual approach for solving the MIMO problem. First, a special linear transformation is introduced to reformulate the original problem into a {−1,1} constrained quadratic programming problem. Then, we derive a canonical dual problem which is piecewise continuous problem with no...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/201369 |
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| _version_ | 1849683102286217216 |
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| author | Ye Tian Jr-Fong Dang |
| author_facet | Ye Tian Jr-Fong Dang |
| author_sort | Ye Tian |
| collection | DOAJ |
| description | We develop a canonical dual approach for solving the MIMO problem. First, a special linear transformation is introduced to reformulate the original problem into a {−1,1} constrained quadratic programming problem. Then, we derive a canonical dual problem which is piecewise continuous problem with no duality gap. Under certain conditions, the canonical problem becomes a concave maximization dual problem over a convex feasible domain. By getting the stationary point of the canonical dual problem, we can find either an optimal or approximate solution of the original problem. A gradient decent algorithm is proposed to solve the MIMO problem and simulation results are provided to demonstrate the effectiveness of the method. |
| format | Article |
| id | doaj-art-ca3cb12cc16e44f1bceac6c9c485d4a0 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ca3cb12cc16e44f1bceac6c9c485d4a02025-08-20T03:23:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/201369201369MIMO Detection for High Order QAM by Canonical Dual ApproachYe Tian0Jr-Fong Dang1School of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Industrial Engineering & Management, National Chiao Tung University, Hsinchu 300, TaiwanWe develop a canonical dual approach for solving the MIMO problem. First, a special linear transformation is introduced to reformulate the original problem into a {−1,1} constrained quadratic programming problem. Then, we derive a canonical dual problem which is piecewise continuous problem with no duality gap. Under certain conditions, the canonical problem becomes a concave maximization dual problem over a convex feasible domain. By getting the stationary point of the canonical dual problem, we can find either an optimal or approximate solution of the original problem. A gradient decent algorithm is proposed to solve the MIMO problem and simulation results are provided to demonstrate the effectiveness of the method.http://dx.doi.org/10.1155/2015/201369 |
| spellingShingle | Ye Tian Jr-Fong Dang MIMO Detection for High Order QAM by Canonical Dual Approach Journal of Applied Mathematics |
| title | MIMO Detection for High Order QAM by Canonical Dual Approach |
| title_full | MIMO Detection for High Order QAM by Canonical Dual Approach |
| title_fullStr | MIMO Detection for High Order QAM by Canonical Dual Approach |
| title_full_unstemmed | MIMO Detection for High Order QAM by Canonical Dual Approach |
| title_short | MIMO Detection for High Order QAM by Canonical Dual Approach |
| title_sort | mimo detection for high order qam by canonical dual approach |
| url | http://dx.doi.org/10.1155/2015/201369 |
| work_keys_str_mv | AT yetian mimodetectionforhighorderqambycanonicaldualapproach AT jrfongdang mimodetectionforhighorderqambycanonicaldualapproach |