Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting
In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 20...
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Schwarz, Stefan [verfasserIn] |
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Englisch |
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2016 |
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Enthalten in: IEEE signal processing letters - Institute of Electrical and Electronics Engineers ; ID: gnd/1692-5, New York, NY, 19XX, 23(2016), 5, Seite 742-746 |
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| Übergeordnetes Werk: |
volume:23 ; year:2016 ; number:5 ; pages:742-746 |
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10.1109/LSP.2016.2550618 |
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| 520 | |a In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. | ||
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| 650 | 4 | |a Covariance matrices | |
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| 650 | 4 | |a Alamouti coding | |
| 650 | 4 | |a semidefinite relaxation | |
| 650 | 4 | |a Multicast communication | |
| 650 | 4 | |a beamforming | |
| 650 | 4 | |a Signal to noise ratio | |
| 650 | 4 | |a Interference | |
| 650 | 4 | |a Receiving antennas | |
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10.1109/LSP.2016.2550618 doi PQ20160719 (DE-627)OLC1975987640 (DE-599)GBVOLC1975987640 (PRQ)i827-158f8766ddd952efbfcd65c9d712d6ff0c1142410c5a661bf5910273958f9dc00 (KEY)02390256u20160000023000500742probabilisticanalysisofsemidefiniterelaxationforle DE-627 ger DE-627 rakwb eng 53.00 bkl Schwarz, Stefan verfasserin aut Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. Base stations Covariance matrices interference leakage Array signal processing multicast approximation bound Alamouti coding semidefinite relaxation Multicast communication beamforming Signal to noise ratio Interference Receiving antennas Enthalten in Institute of Electrical and Electronics Engineers ; ID: gnd/1692-5 IEEE signal processing letters New York, NY, 19XX 23(2016), 5, Seite 742-746 (DE-627)182273075 (DE-600)916964-7 1070-9908 nnns volume:23 year:2016 number:5 pages:742-746 http://dx.doi.org/10.1109/LSP.2016.2550618 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7447712 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT 53.00 AVZ AR 23 2016 5 742-746 |
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10.1109/LSP.2016.2550618 doi PQ20160719 (DE-627)OLC1975987640 (DE-599)GBVOLC1975987640 (PRQ)i827-158f8766ddd952efbfcd65c9d712d6ff0c1142410c5a661bf5910273958f9dc00 (KEY)02390256u20160000023000500742probabilisticanalysisofsemidefiniterelaxationforle DE-627 ger DE-627 rakwb eng 53.00 bkl Schwarz, Stefan verfasserin aut Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. Base stations Covariance matrices interference leakage Array signal processing multicast approximation bound Alamouti coding semidefinite relaxation Multicast communication beamforming Signal to noise ratio Interference Receiving antennas Enthalten in Institute of Electrical and Electronics Engineers ; ID: gnd/1692-5 IEEE signal processing letters New York, NY, 19XX 23(2016), 5, Seite 742-746 (DE-627)182273075 (DE-600)916964-7 1070-9908 nnns volume:23 year:2016 number:5 pages:742-746 http://dx.doi.org/10.1109/LSP.2016.2550618 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7447712 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT 53.00 AVZ AR 23 2016 5 742-746 |
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10.1109/LSP.2016.2550618 doi PQ20160719 (DE-627)OLC1975987640 (DE-599)GBVOLC1975987640 (PRQ)i827-158f8766ddd952efbfcd65c9d712d6ff0c1142410c5a661bf5910273958f9dc00 (KEY)02390256u20160000023000500742probabilisticanalysisofsemidefiniterelaxationforle DE-627 ger DE-627 rakwb eng 53.00 bkl Schwarz, Stefan verfasserin aut Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. Base stations Covariance matrices interference leakage Array signal processing multicast approximation bound Alamouti coding semidefinite relaxation Multicast communication beamforming Signal to noise ratio Interference Receiving antennas Enthalten in Institute of Electrical and Electronics Engineers ; ID: gnd/1692-5 IEEE signal processing letters New York, NY, 19XX 23(2016), 5, Seite 742-746 (DE-627)182273075 (DE-600)916964-7 1070-9908 nnns volume:23 year:2016 number:5 pages:742-746 http://dx.doi.org/10.1109/LSP.2016.2550618 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7447712 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT 53.00 AVZ AR 23 2016 5 742-746 |
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Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting |
| abstract |
In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. |
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In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. |
| abstract_unstemmed |
In this letter, we derive worst-case approximation results for rank one and rank two leakage-based multicasting (LBM) as recently proposed by Schwarz and Rupp ["Transmit optimization for the MISO multicast interference channel," IEEE Trans. Commun. , vol. 63, no. 12, pp. 4936-4949, Dec. 2015]. Specifically, we provide worst-case lower bounds on the approximation ratios achieved with rank one/two Gaussian randomization of the optimal solution as obtained from a semidefinite relaxation (SDR). We demonstrate the validity of the derived bounds through Monte Carlo simulations and we show that good approximation ratios are achieved even for very large number of multicast users and leakage constraints. |
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| title_short |
Probabilistic Analysis of Semidefinite Relaxation for Leakage-Based Multicasting |
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http://dx.doi.org/10.1109/LSP.2016.2550618 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7447712 |
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10.1109/LSP.2016.2550618 |
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