Abstract
Based on the mathematical apparatus of cluster and variational-selective analysis, we develop a new intellectual-analytic method for constructing an estimate of irradiating the target position for the case of significant a priori indeterminacy with respect to the functioning conditions of a triangulation measuring system. This method is an alternative to the known methods of maximal verisimilitude, minimal squares, and minimum of various geometric and cinematic discrepancies, applied traditionally for solving the passive location problem within the normal functioning conditions of the system. We provide the results of comparative analysis and practical recommendations for applying the method.
Similar content being viewed by others
References
A. G. Saibel’, Principles of the Theory of Radiotechnical Methods Accuracy (Oborongiz, Moscow, 1958) [in Russian].
I. S. Kukes and M. E. Starik, Fundamentals of Wireless Direction Finding (Sov. Radio, Moscow, 1964) [in Russian].
Theoretical Foundations of Radiolocation, Ed. by Ya. D. Shirman (Sov. Radio, Moscow, 1970) [in Russian].
V. S. Kondrat’ev, A. F. Kotov, and L. N. Markov, Multiposition Radiotechnical Systems (Radio Svyaz’, Moscow, 1986) [in Russian].
V. S. Chernyak, Multiposition Radiolocation (Radio Svyaz’, Moscow, 1993) [in Russian].
V. A. Botov, V. E. Zhuravlev, and A. N. Krenev, “Comparative analysis of radio source position finding techniques,” Radiotekhnika, No. 2, 28–32 (2006).
Yu. V. Bolotin, “Generalized least squares method in the problem of evaluation by angular measurements,” Avtom. Telemekh., No. 2, 65–74 (1997).
E. A. Kirsanov and A. N. Fomin, “Algorithms of calculation of coordinates of source of radio emission in goniometric and measuring differences distances systems with the minimum number of mobile carriers with error check of definition of site of places of acceptance,” Radiotekhnika, No. 7, 47–51 (2013).
L. E. Shirokov, “Complex hypothesis tracking of moving objects,” J. Comput. Syst. Sci. Int. 39, 975 (2000).
Yu. P. Mel’nikov and S. V. Popov, Electronic Intelligence. Methods for Estimating the Effectiveness of Positioning of Radiation Sources (Radiotekhnika, Moscow, 2008) [in Russian].
V. A. Ufaev, V. I. Afanas’ev, and S. N. Razin’kov, “Estimation of radio source coordinates based on measurements of electromagnetic field amplitude,” Radiotekhnika, No. 10, 71–73 (2003).
V. D. Syten’kii, “Passive location on the basis of the amplitude measurement,” Izv. Vyssh. Uchebn. Zaved., Radioelektron., No. 1, 69–75 (2011).
A. E. Kolessa, “Estimation of the coordinates of a collection of objects observed in the multiposition passive location systems,” Radiotekh. Elektron. 32, 2534–2540 (1987).
Reference Book on Radiolocation, Ed. by M. M. Skolnik (Sov. Radio, Moscow, 1978) [in Russian].
S. C. Singhal and L. E. Stansel, Opt. Eng. 19, 376 (1980).
M. Wax, IEEE Trans. Aerospace Electron. Syst. 19, 658 (1983).
V. Yu. Bulychev, Yu. G. Bulychev, S. S. Ivakina, and I. G. Nasenkov, “An angular–energy method of nonstationary passive location based on a single-position system,” J. Comput. Syst. Sci. Int. 54, 783 (2015).
V. Yu. Bulychev, Yu. G. Bulychev, S. S. Ivakina, and I. G. Nasenkov, “Classification of passive location invariants and their use,” J. Comput. Syst. Sci. Int. 54, 905 (2015).
Yu. G. Bulychev, I. G. Nasenkov, and S. S. Ivakina, “Argumentation of possibility of combined application of goniometric and goniometric-power methods of passive location,” Radiotekhnika, No. 3, 128–136 (2015).
Yu. G. Bulychev, I. G. Nasenkov, and S. S. Ivakina, “Passive-energy location and navigation method in stationary and non-stationary statements,” Radiotekhnika, No. 6, 107–115 (2015).
Yu. G. Bulychev and I. V. Burlai, “Direction finding under a priori uncertain conditions,” J. Comput. Syst. Sci. Int. 41, 716 (2002).
A. G. Radzievskii and A. A. Sirota, Information Support of Radioelectronic Systems in Conflict Situations (IPRZhR, Moscow, 2001) [in Russian].
Yu. A. Smirnov, Radiotechnical Reconnaissance (Voenizdat, Moscow, 2001) [in Russian].
Yu. G. Bulychev, V. Yu. Bulychev, S. S. Ivakina, I. G. Nasenkov, P. I. Nikolas, and E. N. Chepel’, “Substantiation of methods for optimal estimation of target motion parameters in triangulation location systems,” J. Comput. Syst. Sci. Int. 54, 593 (2015).
Yu. G. Bulychev and V. A. Golovskoi, “Regularized processing of observations in angle-measuring systems under the a priori uncertainty conditions,” J. Commun. Technol. Electron. 55, 65 (2010).
Yu. G. Bulychev, I. V. Burlai, A. P. Manin, and Ya. V. Kritskii, “The variational–selective method for estimating object coordinates in a theta-theta navigation system,” J. Comput. Syst. Sci. Int. 40, 663 (2001).
X. Lin, T. Kirubarajan, Y. Bar-Shalom, and S. Maskell, “Comparison of EKF, pseudomeasurement and particle filters for a bearing-only target tracking problem,” Proc. SPIE 4728, 240–250 (2002).
B. M. Miller, K. V. Stepanyan, A. B. Miller, K. V. Andreev, and S. N. Khoroshenkikh, “Optimal filter selection for UAV trajectory control problems,” in Proceedings of the 37th Conference for Young Scientists and Engineers on Information Technology and Systems (IITP RAS, Kaliningrad, Russia, 2013), pp. 327–333.
V. J. Aidala and S. C. Nardone, “Biased estimation properties of the pseudolinear tracking filter,” IEEE Trans. Aerospace Electron. Syst. 18, 432–441 (1982).
K. S. Amelin and A. B. Miller, “An algorithm for refinement of the position of a light UAV on the basis of Kalman filtering of bearing measurements,” J. Commun. Technol. Electron. 59, 622–631 (2014).
A. B. Miller, “Development of the motion control on the basis of Kalman filtering of bearing-only measurements,” Autom. Remote Control. 76, 1018–1035 (2015).
A. Miller and B. Miller, “Stochastic control of light UAV at landing with the aid of bearing-only observations,” in Proceedings of the SPIE 8ht International Conference on Machine Vision ICMV 2015, Barcelona, 2015, Proc. SPIE 9875, 987529 (2015).
S. Karpenko, I. Konovalenko, A. Miller, B. Miller, and D. Nikolaev, “UAV control on the basis of 3D landmark bearing-only observations,” Sensors 15, 29802–29820 (2015).
S. Karpenko, I. Konovalenko, A. Miller, B. Miller, and D. Nikolaev, “Visual navigation of the UAVs on the basis of 3D natural landmarks,” in Proceedings of the SPIE 8th International Conference on Machine Vision ICMV 2015, Barcelona, 2015, Proc. SPIE 9875, 98751I (2015).
A. Miller and B. Miller, “UAV control on the basis of the bearing-only observations,” in Proceedings of the 2014 Australian Control Conference, Canberra, 2014, pp. 31–36.
A. Miller and B. Miller, “Tracking of the uAV trajectory on the basis of bearing-only observations, in Proceedings of the 53rd IEEE CDC, Los-Angeles, 2014.
B. F. Zhdanyuk, Fundamentals of Statistical Processing of Trajectory Measurements (Sov. Radio, Moscow, 1978) [in Russian].
E. N. Gil’bo and I. B. Chelpanov, Signal Processing Based on Ordered Selection (Sov. Radio, Moscow, 1975) [in Russian].
V. I. Mudrov and V. P. Kushko, Methods of Measurement Processing: Quasi-Believable Estimates (Radiosvyaz’, Moscow, 1983) [in Russian].
Ch. Lawson and R. J. Hanson, Solving Least Squares Problems (SIAM, Philadelphia, PA, 1995; Nauka, Moscow, 1986).
Yu. G. Bulychev and A. P. Manin, Mathematical Aspects of Detection of Aircraft Motion (Mashinostroenie, Moscow, 2000) [in Russian].
I. D. Mandel, Cluster Analysis (Finansy Statistika, Moscow, 1988) [in Russian].
W. T. Williams and G. N. Lance, Hierarchical classificatory methods, in Statistical Methods for Digital Computers, Ed. by K. Enslein, A. Ralston, and H. S. Wilf (Wiley, New York, 1977); Vol. 3, pp. 269–295.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.G. Bulychev, I.G. Nasenkov, E.N. Chepel, 2018, published in Izvestiya Akademii Nauk, Teoriya i Sistemy Upravleniya, 2018, No. 2, pp. 11–27.
Rights and permissions
About this article
Cite this article
Bulychev, Y.G., Nasenkov, I.G. & Chepel, E.N. Cluster Variational-Selective Method of Passive Location for Triangulation Measuring Systems. J. Comput. Syst. Sci. Int. 57, 179–196 (2018). https://doi.org/10.1134/S1064230717060041
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064230717060041