Virtual Antenna Array Theory and Applications

A. V. Ashikhmin; Yu. G. Pasternak; Yu. A. Rembovskiy; S. M. Fedorov

doi:doi:10.11648/j.ajea.20150301.11

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Virtual Antenna Array Theory and Applications

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy, S. M. Fedorov

Published in American Journal of Electromagnetics and Applications (Volume 3, Issue 1)

Received: 31 December 2014 Accepted: 18 January 2015 Published: 2 February 2015

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Abstract

In this article we would like to present a physical basis of virtual antenna array method which is based on electrodynamic principle of field source equivalence. Also, here are formulae and numerical relations for field description errors for the field at the edges of physical and virtual antenna arrays It is also demonstrated that the virtual antenna array method helps increase radio emitters angular coordinates accuracy even without data about antenna array carrier body geometry and material properties. Potential use of this method is also provided.

Published in	American Journal of Electromagnetics and Applications (Volume 3, Issue 1)
DOI	10.11648/j.ajea.20150301.11
Page(s)	1-11
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Electromagnetic Fields, Diffraction, Approximation Methods, Antenna Array, Error Compensation

References

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[2]	Tuncer E., Friedlander B. Classical and Modern Direction-of-Arrival Estimation. USA: AP. 2009. 429 P.
[3]	M. Pesavento, A. B. Gershman, and Zhi-Quan Luo. Robust array interpolation using second-order cone programming. IEEE Signal Processing Letters, vol. 9 no. 1, pp. 8-11, Jan. 2002.
[4]	M. Buhren, M. Pesavento, and J. F. Bohme. A new approach to array interpolation by generation of artificial shift invariances: interpolated ESPRIT. Proceedings IEEE Int. Conf. Acoustics, Speech, and Signal Proces. (ICASSP), vol. 5, pp. 205-208, 2003.
[5]	Hyberg P. Antenna Array Mapping for DOA Estimation in Radio Signal Reconnaissance. PhD thesis. — Royal Institute of Technology (KTH), Stockholm, Sweden. — 2005.
[6]	F. Belloni, A. Richter, and V. Koivunen. Reducing Excess Variance in Beamspace Methods for Uniform Circular Array. In Proceedings of the IEEE Workshop on Statistical Signal Processing (SSP), Bordeaux, France, July 17-20, 2005.
[7]	S. Chen, B. Mulgrew, and P. M. Grant, “A clustering technique for digital communications channel equalization using radial basis function networks,” IEEE Trans. Neural Networks, vol. 4, pp. 570–578, Jul. 1993.
[8]	Belloni F., Richter A., Koivunen V. DOA Estimation via Manifold Separation For Arbitrary Array Structures // IEEE Trans. Signal Processing, 2007, vol. 55, № 10, pp. 4800-4810.
[9]	Advances in Direction-of-Arrival Estimation / S. Chandran. Norwood: ARTECH HOUSE. 2006. 474 P.
[10]	Antenna Array Including Virtual Antenna. P. van Rooyen, P. Roux. Patent US 7,605,755B2, 20.10.2009 (prior publication data US 2008/0303719 A1, 11.12.2008).
[11]	(in Russian) Transl.: V.I. Glazyev, R.A. Zatserkovsky, O.V. Smidovich, “The method of phantoms in the theory of antenna arrays,” Materials of Acoustic Symposium "Consonans-2003". Kiev. 2003. Publisher NAN of Ukraine. PP. 67-72.
[12]	(in Russian) Transl.: Yu.G. Pasternak, Yu.A. Rembovsky, “Field structure in the region of the mobile circular antenna array,” Antennas. 2007. № 1 (116). PP. 30-34.
[13]	(in Russian) Transl.: Yu.G. Pasternak, Yu.A. Rembovsky, “The method of recovery of the electromagnetic field on plane near three-dimensional scatterer,” Antennas. 2007. № 7 (122). PP. 43-48.
[14]	A.V. Ashikhmin, Yu.G. Pasternak, Yu.A. Rembovsky, “The method of synthesis of a "virtual" array and researching of the possibility of using it to improve the performance of mobile and stationary radio direction finders,” (in Russian) Transl.: Antennas. 2008. № 10 (137). PP. 34-46.
[15]	(in Russian) Transl.: A.V. Ashikhmin, S.V. Korochin, Yu.G. Pasternak, Yu.A. Rembovsky, “The method of synthesis of direction finding antenna array on the case of the mobile carrier” Radiolocation and communication. 2009. № 8. PP. 18-23.
[16]	(in Russian) Transl.: A.S. Ilyinsky, V.V. Kravtsov, A.G. Sveshnikov, “Mathematical models of electrodynamics,” Moscow: Higher School. 1991. 224 p.
[17]	(in Russian) Transl.: M.A. Aleksidze, “The fundamental functions in approximate solutions of boundary problems,” Moscow: Nauka, 1991. 352 p.
[18]	(in Russian) Transl.: G. Korn, T. Korn, “Mathematical Handbook for Scientists and Engineers,” Moscow: Nauka, 1973. 832 p.
[19]	Weiland T. A discretization method for the solution of Maxwell`s equations for six-component fields // Electronics and Communication, 1977. V. 31. PP. 116-120.
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[21]	(in Russian) Transl.: N.N. Kalitkin, “Numerical methods,” Nauka. 1978. 512 p.

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APA Style

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy, S. M. Fedorov. (2015). Virtual Antenna Array Theory and Applications. American Journal of Electromagnetics and Applications, 3(1), 1-11. https://doi.org/10.11648/j.ajea.20150301.11

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ACS Style

A. V. Ashikhmin; Yu. G. Pasternak; Yu. A. Rembovskiy; S. M. Fedorov. Virtual Antenna Array Theory and Applications. Am. J. Electromagn. Appl. 2015, 3(1), 1-11. doi: 10.11648/j.ajea.20150301.11

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AMA Style

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy, S. M. Fedorov. Virtual Antenna Array Theory and Applications. Am J Electromagn Appl. 2015;3(1):1-11. doi: 10.11648/j.ajea.20150301.11

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@article{10.11648/j.ajea.20150301.11,
  author = {A. V. Ashikhmin and Yu. G. Pasternak and Yu. A. Rembovskiy and S. M. Fedorov},
  title = {Virtual Antenna Array Theory and Applications},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {3},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ajea.20150301.11},
  url = {https://doi.org/10.11648/j.ajea.20150301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20150301.11},
  abstract = {In this article we would like to present a physical basis of virtual antenna array method which is based on electrodynamic principle of field source equivalence. Also, here are formulae and numerical relations for field description errors for the field at the edges of physical and virtual antenna arrays It is also demonstrated that the virtual antenna array method helps increase radio emitters angular coordinates accuracy even without data about antenna array carrier body geometry and material properties. Potential use of this method is also provided.},
 year = {2015}
}

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TY  - JOUR
T1  - Virtual Antenna Array Theory and Applications
AU  - A. V. Ashikhmin
AU  - Yu. G. Pasternak
AU  - Yu. A. Rembovskiy
AU  - S. M. Fedorov
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DO  - 10.11648/j.ajea.20150301.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
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AB  - In this article we would like to present a physical basis of virtual antenna array method which is based on electrodynamic principle of field source equivalence. Also, here are formulae and numerical relations for field description errors for the field at the edges of physical and virtual antenna arrays It is also demonstrated that the virtual antenna array method helps increase radio emitters angular coordinates accuracy even without data about antenna array carrier body geometry and material properties. Potential use of this method is also provided.
VL  - 3
IS  - 1
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Author Information

A. V. Ashikhmin

JSC "IRCOS", Moscow, Russia
Yu. G. Pasternak

Faculty of radio engineering and electronics, Voronezh State Technical University, Voronezh, Russia
Yu. A. Rembovskiy

JSC "IRCOS", Moscow, Russia
S. M. Fedorov

Faculty of radio engineering and electronics, Voronezh State Technical University, Voronezh, Russia

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APA Style

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy, S. M. Fedorov. (2015). Virtual Antenna Array Theory and Applications. American Journal of Electromagnetics and Applications, 3(1), 1-11. https://doi.org/10.11648/j.ajea.20150301.11

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ACS Style

A. V. Ashikhmin; Yu. G. Pasternak; Yu. A. Rembovskiy; S. M. Fedorov. Virtual Antenna Array Theory and Applications. Am. J. Electromagn. Appl. 2015, 3(1), 1-11. doi: 10.11648/j.ajea.20150301.11

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AMA Style

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy, S. M. Fedorov. Virtual Antenna Array Theory and Applications. Am J Electromagn Appl. 2015;3(1):1-11. doi: 10.11648/j.ajea.20150301.11

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@article{10.11648/j.ajea.20150301.11,
  author = {A. V. Ashikhmin and Yu. G. Pasternak and Yu. A. Rembovskiy and S. M. Fedorov},
  title = {Virtual Antenna Array Theory and Applications},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {3},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ajea.20150301.11},
  url = {https://doi.org/10.11648/j.ajea.20150301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20150301.11},
  abstract = {In this article we would like to present a physical basis of virtual antenna array method which is based on electrodynamic principle of field source equivalence. Also, here are formulae and numerical relations for field description errors for the field at the edges of physical and virtual antenna arrays It is also demonstrated that the virtual antenna array method helps increase radio emitters angular coordinates accuracy even without data about antenna array carrier body geometry and material properties. Potential use of this method is also provided.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Virtual Antenna Array Theory and Applications
AU  - A. V. Ashikhmin
AU  - Yu. G. Pasternak
AU  - Yu. A. Rembovskiy
AU  - S. M. Fedorov
Y1  - 2015/02/02
PY  - 2015
N1  - https://doi.org/10.11648/j.ajea.20150301.11
DO  - 10.11648/j.ajea.20150301.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20150301.11
AB  - In this article we would like to present a physical basis of virtual antenna array method which is based on electrodynamic principle of field source equivalence. Also, here are formulae and numerical relations for field description errors for the field at the edges of physical and virtual antenna arrays It is also demonstrated that the virtual antenna array method helps increase radio emitters angular coordinates accuracy even without data about antenna array carrier body geometry and material properties. Potential use of this method is also provided.
VL  - 3
IS  - 1
ER  -

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