LMS and RLS beamforming algorithms based linear antenna array with known mutual coupling
This study explores the application of LMS and RLS algorithms in adaptive beamforming for a linear array of half wavelength dipole (HWD) antennas with known mutual coupling. The research initiates by deriving analytical expressions for the covariance matrix of signal impinging on an HWD antenna arra...
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| Published in | Journal of electromagnetic waves and applications Vol. 37; no. 17; pp. 1449 - 1462 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis
22.11.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0920-5071 1569-3937 |
| DOI | 10.1080/09205071.2023.2251979 |
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| Abstract | This study explores the application of LMS and RLS algorithms in adaptive beamforming for a linear array of half wavelength dipole (HWD) antennas with known mutual coupling. The research initiates by deriving analytical expressions for the covariance matrix of signal impinging on an HWD antenna array, accounting for mutual coupling effects. Leveraging these expressions, we calculate the weights for both LMS and RLS algorithms, enabling the evaluation of the overall far-field radiation patterns of the HWD antenna array. The results demonstrate that these algorithms effectively steer the main lobe of the radiation pattern towards the desired user while creating nulls in the direction of undesired users. Notably, simulations indicate that the proposed compensation method enhances the performance of beamforming algorithms, particularly when considering mutual coupling effects. Specifically, the LMS algorithm outperforms the RLS algorithm in reducing interference, resulting in lower side lobe levels (SLL) in the radiation pattern. |
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| AbstractList | This study explores the application of LMS and RLS algorithms in adaptive beamforming for a linear array of half wavelength dipole (HWD) antennas with known mutual coupling. The research initiates by deriving analytical expressions for the covariance matrix of signal impinging on an HWD antenna array, accounting for mutual coupling effects. Leveraging these expressions, we calculate the weights for both LMS and RLS algorithms, enabling the evaluation of the overall far-field radiation patterns of the HWD antenna array. The results demonstrate that these algorithms effectively steer the main lobe of the radiation pattern towards the desired user while creating nulls in the direction of undesired users. Notably, simulations indicate that the proposed compensation method enhances the performance of beamforming algorithms, particularly when considering mutual coupling effects. Specifically, the LMS algorithm outperforms the RLS algorithm in reducing interference, resulting in lower side lobe levels (SLL) in the radiation pattern. |
| Author | Boughaba, Noureddine Barkat, Ouarda |
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| References_xml | – ident: e_1_3_2_8_1 doi: 10.1029/2021RS007294 – volume-title: Foundations of MIMO communication year: 2019 ident: e_1_3_2_2_1 – ident: e_1_3_2_33_1 doi: 10.1049/el:19911331 – volume-title: Smart antenna for wireless communication year: 2005 ident: e_1_3_2_7_1 – ident: e_1_3_2_13_1 doi: 10.1109/TWC.2002.800546 – ident: e_1_3_2_11_1 doi: 10.1109/8.60990 – ident: e_1_3_2_35_1 doi: 10.1002/eng2.12295 – ident: e_1_3_2_10_1 doi: 10.1109/TAP.1983.1143128 – ident: e_1_3_2_17_1 doi: 10.1029/2010RS004518 – ident: e_1_3_2_25_1 doi: 10.1088/1742-6596/1577/1/012029 – ident: e_1_3_2_23_1 doi: 10.3390/en12081545 – ident: e_1_3_2_37_1 doi: 10.2528/PIERC22080103 – ident: e_1_3_2_6_1 doi: 10.1109/TAP.2012.2219841 – ident: e_1_3_2_30_1 doi: 10.1016/j.procs.2017.09.081 – ident: e_1_3_2_15_1 doi: 10.1109/ACCESS.2018.2873062 – volume-title: Handbook of antennas in wireless communications year: 2002 ident: e_1_3_2_3_1 – ident: e_1_3_2_28_1 doi: 10.1109/78.143435 – ident: e_1_3_2_4_1 doi: 10.1155/2020/9873410 – ident: e_1_3_2_21_1 doi: 10.1109/TAP.2008.929446 – volume-title: Smart antennas for wireless communications year: 1999 ident: e_1_3_2_29_1 – ident: e_1_3_2_31_1 doi: 10.1109/TCSI.2014.2343552 – ident: e_1_3_2_16_1 doi: 10.1080/02726343.2014.910371 – ident: e_1_3_2_32_1 doi: 10.1049/el:20010134 – ident: e_1_3_2_12_1 doi: 10.1109/TWC.2004.830854 – ident: e_1_3_2_20_1 doi: 10.1109/8.76322 – ident: e_1_3_2_34_1 doi: 10.1109/TSP.2008.2010643 – ident: e_1_3_2_24_1 doi: 10.1109/78.205720 – ident: e_1_3_2_22_1 doi: 10.3390/s151229832 – ident: e_1_3_2_19_1 doi: 10.1109/TAP.2004.832511 – ident: e_1_3_2_9_1 doi: 10.1109/8.273305 – ident: e_1_3_2_18_1 doi: 10.1109/TVT.2007.895545 – ident: e_1_3_2_5_1 doi: 10.1007/s11277-019-06241-0 – volume: 105 start-page: 277 year: 2014 ident: e_1_3_2_26_1 article-title: A low-complexity variable forgetting factor constant modulus RLS algorithm for blind adaptive beamforming publication-title: J Phys Conf Series – ident: e_1_3_2_14_1 doi: 10.2528/PIERB11052802 – ident: e_1_3_2_36_1 doi: 10.1007/s11277-020-07287-1 – volume-title: Adaptive signal processing year: 1985 ident: e_1_3_2_27_1 |
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| SubjectTerms | Beamforming algorithms dipole antenna arrays LMS mutual coupling RLS |
| Title | LMS and RLS beamforming algorithms based linear antenna array with known mutual coupling |
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