Investigation of the Possibility for Description of the Spatial Field Distribution Near a Mobile Radio Direction Finder Antenna System by a Laurent Series

Ашихмин, А. В.; Негробов, В. В.; Pasternak, Yu. G.; Rembovskii, Yu. A.

doi:10.1615/telecomradeng.v71.i9.30

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“…When the diameter of RAA is shorter than the wavelength (2r r < λ 0 ), we can form a VAA by another method, based on measured values of the fields and their analytical continuation using the theory of analytical functions of a complex variable z = x + iy; in particular, the Cauchy integral [25,26] or Laurent series [27]. This method is applicable because we can use a quasistatic description of the field in an electrically small region: if k 2 0 = (2π/λ 0 ) 2 1, the Helmholtz equation can be replaced by the Laplace equation, whose solutions are harmonic functions.…”

Section: Methods Based On the Theory Of Analytic Functions Of A Complementioning

confidence: 99%

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Virtual Antenna Array for Minimization of DOA Estimation Systematic Error Caused by Scattering of Incident Waves on Antenna Carrier Body

et al. 2020

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The Direction of Arrival (DOA) estimations of systematic errors are caused by diffraction distortions of the measured spatial structure of a electromagnetic field. These distortions result from scattering of incident waves on the antenna system and nearby scatterers (mobile carrier body, antenna mast, underlying surface, etc.) in wide frequency band, including the resonant frequencies of nearby objects. This article proposes a method for minimizing the DOA estimation systematic error by forming an additional virtual receiving channel—a Virtual Antenna Array (VAA). The VAAs were formed by use of classical apparatus of electrodynamics—the Huygens-Kirchhoff principle, the method of equivalent fields and sources, and the quasistatic approximation of the field based on the theory of analytical functions of the complex variable (Cauchy integral, Laurent series). The proposed method does not require calibration of the antenna system or a priori information about the geometry and material properties of the scatterers (dry or wet soil, opened or closed vehicle doors, etc.). Therefore, it gives good results in cases of mobile and stationary arrays, or changing carrier body geometry.

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Section: Methods Based On the Theory Of Analytic Functions Of A Complementioning

confidence: 99%

“…Another method of field approximation is based on the expansion of function U AA (z) in a narrow ring of width δ (r r − δ/2 ≤ r ≤ r r + δ/2, where δ r r , δ λ 0 ), inside of which the phase centers of the RAA elements are located, in a Laurent series [27]:…”

Section: Methods Based On the Theory Of Analytic Functions Of A Complementioning

confidence: 99%

Virtual Antenna Array for Minimization of DOA Estimation Systematic Error Caused by Scattering of Incident Waves on Antenna Carrier Body

et al. 2020

View full text Add to dashboard Cite

show abstract

Investigation of the Possibility for Description of the Spatial Field Distribution Near a Mobile Radio Direction Finder Antenna System by a Laurent Series

Cited by 1 publication

References 0 publications

Virtual Antenna Array for Minimization of DOA Estimation Systematic Error Caused by Scattering of Incident Waves on Antenna Carrier Body

Virtual Antenna Array for Minimization of DOA Estimation Systematic Error Caused by Scattering of Incident Waves on Antenna Carrier Body

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