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.
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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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