Cognitive beamforming for multiple secondary data streams with individual SNR constraints
In this paper, we consider cognitive beamforming for multiple secondary data streams subject to individual signal-to-noise ratio (SNR) requirements for each secondary data stream. In such a cognitive radio system, the secondary user is permitted to use the spectrum allocated to the primary user as l...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/99535 http://hdl.handle.net/10220/17468 |
| _version_ | 1811684080885956608 |
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| author | Cai, Sheng-Ming Gong, Yi |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Cai, Sheng-Ming Gong, Yi |
| author_sort | Cai, Sheng-Ming |
| collection | NTU |
| description | In this paper, we consider cognitive beamforming for multiple secondary data streams subject to individual signal-to-noise ratio (SNR) requirements for each secondary data stream. In such a cognitive radio system, the secondary user is permitted to use the spectrum allocated to the primary user as long as the caused interference at the primary receiver is tolerable. With both secondary SNR constraint and primary interference power constraint, we aim to minimize the secondary transmit power consumption. By exploiting the individual SNR requirements, we formulate this cognitive beamforming problem as an optimization problem on the Stiefel manifold. Both zero forcing beamforming (ZFB) and nonzero forcing beamforming (NFB) are considered. For the ZFB case, we derive a closed-form beamforming solution. For the NFB case, we prove that the strong duality holds for the nonconvex primal problem and thus the optimal solution can be easily obtained by solving the dual problem. Finally, numerical results are presented to illustrate the performance of the proposed cognitive beamforming solutions. |
| first_indexed | 2024-10-01T04:22:57Z |
| format | Journal Article |
| id | ntu-10356/99535 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:22:57Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/995352020-03-07T14:00:31Z Cognitive beamforming for multiple secondary data streams with individual SNR constraints Cai, Sheng-Ming Gong, Yi School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering In this paper, we consider cognitive beamforming for multiple secondary data streams subject to individual signal-to-noise ratio (SNR) requirements for each secondary data stream. In such a cognitive radio system, the secondary user is permitted to use the spectrum allocated to the primary user as long as the caused interference at the primary receiver is tolerable. With both secondary SNR constraint and primary interference power constraint, we aim to minimize the secondary transmit power consumption. By exploiting the individual SNR requirements, we formulate this cognitive beamforming problem as an optimization problem on the Stiefel manifold. Both zero forcing beamforming (ZFB) and nonzero forcing beamforming (NFB) are considered. For the ZFB case, we derive a closed-form beamforming solution. For the NFB case, we prove that the strong duality holds for the nonconvex primal problem and thus the optimal solution can be easily obtained by solving the dual problem. Finally, numerical results are presented to illustrate the performance of the proposed cognitive beamforming solutions. 2013-11-08T06:02:06Z 2019-12-06T20:08:29Z 2013-11-08T06:02:06Z 2019-12-06T20:08:29Z 2013 2013 Journal Article Cai, S.-M., & Gong, Y. (2013). Cognitive Beamforming for Multiple Secondary Data Streams With Individual SNR Constraints. IEEE Transactions on Signal Processing, 61(17), 4189-4198. https://hdl.handle.net/10356/99535 http://hdl.handle.net/10220/17468 10.1109/TSP.2013.2266323 en IEEE transactions on signal processing |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Cai, Sheng-Ming Gong, Yi Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title | Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title_full | Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title_fullStr | Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title_full_unstemmed | Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title_short | Cognitive beamforming for multiple secondary data streams with individual SNR constraints |
| title_sort | cognitive beamforming for multiple secondary data streams with individual snr constraints |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/99535 http://hdl.handle.net/10220/17468 |
| work_keys_str_mv | AT caishengming cognitivebeamformingformultiplesecondarydatastreamswithindividualsnrconstraints AT gongyi cognitivebeamformingformultiplesecondarydatastreamswithindividualsnrconstraints |