American Journal of Electromagnetics and Applications
Volume 3, Issue 1, January 2015, Pages: 1-11
Received: Dec. 31, 2014;
Accepted: Jan. 18, 2015;
Published: Feb. 2, 2015
Views 3988 Downloads 328
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
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.
A. V. Ashikhmin,
Yu. G. Pasternak,
Yu. A. Rembovskiy,
S. M. Fedorov,
Virtual Antenna Array Theory and Applications, American Journal of Electromagnetics and Applications.
Vol. 3, No. 1,
2015, pp. 1-11.
B. Friedlander. Direction finding with an interpolated array. // Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, Apr. 1990.
Tuncer E., Friedlander B. Classical and Modern Direction-of-Arrival Estimation. USA: AP. 2009. 429 P.
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.
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.
Hyberg P. Antenna Array Mapping for DOA Estimation in Radio Signal Reconnaissance. PhD thesis. — Royal Institute of Technology (KTH), Stockholm, Sweden. — 2005.
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.
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.
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.
Advances in Direction-of-Arrival Estimation / S. Chandran. Norwood: ARTECH HOUSE. 2006. 474 P.
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).
(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.
(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.
(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.
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.
(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.
(in Russian) Transl.: A.S. Ilyinsky, V.V. Kravtsov, A.G. Sveshnikov, “Mathematical models of electrodynamics,” Moscow: Higher School. 1991. 224 p.
(in Russian) Transl.: M.A. Aleksidze, “The fundamental functions in approximate solutions of boundary problems,” Moscow: Nauka, 1991. 352 p.
(in Russian) Transl.: G. Korn, T. Korn, “Mathematical Handbook for Scientists and Engineers,” Moscow: Nauka, 1973. 832 p.
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.
(in Russian) Transl.: J.A. Bakhvalov, S.Yu. Knyazev, A.A. Shcherbakov, “Mathematical modeling of physical fields by point sources method,” Izvestiya RAN. A physical series. 2008. T. 72, № 9. PP. 1259-1261.
(in Russian) Transl.: N.N. Kalitkin, “Numerical methods,” Nauka. 1978. 512 p.