Weight Vector Fluctuations in Adaptive Antenna Arrays Tuned Using the Least-Mean-Square Error Algorithm with Quadratic Constraint
We present the results of statistical analysis of an adaptive antenna array tuned using the least-mean-square error algorithm with quadratic constraint on the useful-signal amplification with allowance for the weight-coefficient fluctuations. Using the perturbation theory, the expressions for the co...
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Veröffentlicht in: | Radiophysics and quantum electronics 2015-06, Vol.58 (1), p.71-77 |
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description | We present the results of statistical analysis of an adaptive antenna array tuned using the least-mean-square error algorithm with quadratic constraint on the useful-signal amplification with allowance for the weight-coefficient fluctuations. Using the perturbation theory, the expressions for the correlation function and power of the output signal of the adaptive antenna array, as well as the formula for the weight-vector covariance matrix are obtained in the first approximation. The fluctuations are shown to lead to the signal distortions at the antenna-array output. The weight-coefficient fluctuations result in the appearance of additional terms in the statistical characteristics of the antenna array. It is also shown that the weight-vector fluctuations are isotropic, i.e., identical in all directions of the weight-coefficient space. |
doi_str_mv | 10.1007/s11141-015-9582-5 |
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V.</creatorcontrib><title>Weight Vector Fluctuations in Adaptive Antenna Arrays Tuned Using the Least-Mean-Square Error Algorithm with Quadratic Constraint</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><description>We present the results of statistical analysis of an adaptive antenna array tuned using the least-mean-square error algorithm with quadratic constraint on the useful-signal amplification with allowance for the weight-coefficient fluctuations. Using the perturbation theory, the expressions for the correlation function and power of the output signal of the adaptive antenna array, as well as the formula for the weight-vector covariance matrix are obtained in the first approximation. The fluctuations are shown to lead to the signal distortions at the antenna-array output. The weight-coefficient fluctuations result in the appearance of additional terms in the statistical characteristics of the antenna array. 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V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c410t-c6b1731a876668511f2630bdcf8184c5cfefadcda75419b7b1d2d2500cc509203</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Adaptive antenna arrays</topic><topic>Algorithms</topic><topic>Amplification</topic><topic>Analysis</topic><topic>Antennas</topic><topic>Antennas (Electronics)</topic><topic>Astronomy</topic><topic>Astrophysics and Astroparticles</topic><topic>Covariance matrix</topic><topic>Fluctuation</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Lasers</topic><topic>Mathematical analysis</topic><topic>Mathematical and Computational Physics</topic><topic>Nuclear Physics</topic><topic>Observations and Techniques</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Permissible error</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Optics</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zimina, S. 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V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Weight Vector Fluctuations in Adaptive Antenna Arrays Tuned Using the Least-Mean-Square Error Algorithm with Quadratic Constraint</atitle><jtitle>Radiophysics and quantum electronics</jtitle><stitle>Radiophys Quantum El</stitle><date>2015-06-01</date><risdate>2015</risdate><volume>58</volume><issue>1</issue><spage>71</spage><epage>77</epage><pages>71-77</pages><issn>0033-8443</issn><eissn>1573-9120</eissn><coden>RPQEAC</coden><abstract>We present the results of statistical analysis of an adaptive antenna array tuned using the least-mean-square error algorithm with quadratic constraint on the useful-signal amplification with allowance for the weight-coefficient fluctuations. 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subjects | Adaptive antenna arrays Algorithms Amplification Analysis Antennas Antennas (Electronics) Astronomy Astrophysics and Astroparticles Covariance matrix Fluctuation Hadrons Heavy Ions Lasers Mathematical analysis Mathematical and Computational Physics Nuclear Physics Observations and Techniques Optical Devices Optics Permissible error Photonics Physics Physics and Astronomy Quantum Optics Theoretical |
title | Weight Vector Fluctuations in Adaptive Antenna Arrays Tuned Using the Least-Mean-Square Error Algorithm with Quadratic Constraint |
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