Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty
The performance of the conventional beamforming for angle-of-arrival (AOA) estimation algorithm under measurement uncertainty is analyzed. Gaussian random variables are used for modeling measurement noises. Analytic expression of the mean square error (MSE) is obtained via Taylor series expansion. I...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2020/7515139 |
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| author | Eun-Kyung Lee Joon-Ho Lee |
| author_facet | Eun-Kyung Lee Joon-Ho Lee |
| author_sort | Eun-Kyung Lee |
| collection | DOAJ |
| description | The performance of the conventional beamforming for angle-of-arrival (AOA) estimation algorithm under measurement uncertainty is analyzed. Gaussian random variables are used for modeling measurement noises. Analytic expression of the mean square error (MSE) is obtained via Taylor series expansion. In traditional performance analysis, estimation accuracy in terms of the MSEs is usually obtained from the Monte Carlo simulation, which is computationally intensive especially for large number of repetitions in the Monte Carlo simulation. For reliable MSE in the Monte Carlo simulation, the number of repetitions should be very large. To circumvent this problem, analytic performance analysis which is less computationally intensive than the Monte Carlo simulation-based performance analysis is proposed in this paper. After some approximations, we derive the closed form expression of the mean square error (MSE) for each incident signal. The validity of the derived expressions is shown by comparing an analytic MSE with an empirical MSEs. The Cramer–Rao bound is also used to further validate the derived analytic expression. |
| format | Article |
| id | doaj-art-e2e240083b514200a4b0d213f6ce54f1 |
| institution | DOAJ |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-e2e240083b514200a4b0d213f6ce54f12025-08-20T03:21:07ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772020-01-01202010.1155/2020/75151397515139Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement UncertaintyEun-Kyung Lee0Joon-Ho Lee1Department of Information and Communication Engineering, Sejong University, 209 Neungdong-ro Gwangjin-gu, Seoul 05006, Republic of KoreaDepartment of Information and Communication Engineering, Sejong University, 209 Neungdong-ro Gwangjin-gu, Seoul 05006, Republic of KoreaThe performance of the conventional beamforming for angle-of-arrival (AOA) estimation algorithm under measurement uncertainty is analyzed. Gaussian random variables are used for modeling measurement noises. Analytic expression of the mean square error (MSE) is obtained via Taylor series expansion. In traditional performance analysis, estimation accuracy in terms of the MSEs is usually obtained from the Monte Carlo simulation, which is computationally intensive especially for large number of repetitions in the Monte Carlo simulation. For reliable MSE in the Monte Carlo simulation, the number of repetitions should be very large. To circumvent this problem, analytic performance analysis which is less computationally intensive than the Monte Carlo simulation-based performance analysis is proposed in this paper. After some approximations, we derive the closed form expression of the mean square error (MSE) for each incident signal. The validity of the derived expressions is shown by comparing an analytic MSE with an empirical MSEs. The Cramer–Rao bound is also used to further validate the derived analytic expression.http://dx.doi.org/10.1155/2020/7515139 |
| spellingShingle | Eun-Kyung Lee Joon-Ho Lee Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty International Journal of Antennas and Propagation |
| title | Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty |
| title_full | Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty |
| title_fullStr | Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty |
| title_full_unstemmed | Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty |
| title_short | Performance Analysis of Conventional Beamforming Algorithm for Angle-of-Arrival Estimation under Measurement Uncertainty |
| title_sort | performance analysis of conventional beamforming algorithm for angle of arrival estimation under measurement uncertainty |
| url | http://dx.doi.org/10.1155/2020/7515139 |
| work_keys_str_mv | AT eunkyunglee performanceanalysisofconventionalbeamformingalgorithmforangleofarrivalestimationundermeasurementuncertainty AT joonholee performanceanalysisofconventionalbeamformingalgorithmforangleofarrivalestimationundermeasurementuncertainty |