Accuracy of trajectory estimation algorithms based on distance- measuring surveillance data using different linearization methods


  • K. V. Naumenko ANTONOV Company, Kiev
  • V. M. Vasyliev National Aviation University, Kiev



surveillance, two-positioned distance-measuring, radionavigation system, trajectory estimation


Problem statement: The radar monitoring systems are used broadly for the moving object coordinates determination. Errors of the radar navigation systems are random in nature. The optimal estimation methods and algorithms of the aircraft (AC) flight trajectory parameters are used along with application of the statistical estimation theory for the data processing of such monitoring systems. Object of the work: This article deals with AC flight trajectory estimation using the data of a two-position monitoring system with two range-finding radar navigation stations located at the distance of d between them, each of which measures the distances  to the aircraft.  The influence of the different linearization methods on the trajectory estimation accuracy at the algorithms synthesis of optimal one-step data processing of two-positioned distance-measuring radionavigation system is investigated. The expressions for error statistical characteristics are defined as well as initial values for trajectory estimation algorithms offering an opportunity to provide the correctness of algorithms functioning. Conclusions: Three methods for linearized algorithms synthesis of one-step optimal estimation the aircraft movement trajectory parameters are shown in the work using the measuring results of a two-position range-finding monitoring system. Finally, results of computer modeling are presented and comparative analysis of the accuracy using three different approaches to the trajectory estimation system synthesis is performed. Simple application of each of the synthesized algorithms considered here considerably increases the trajectory evaluation accuracy as compared with the accuracy of the coordinate's calculation without using of optimal methods.

Author Biographies

K. V. Naumenko, ANTONOV Company, Kiev


V. M. Vasyliev, National Aviation University, Kiev

Doc. of Sci (Tech), Prof.


Kondratiev V. S., Kotov A. F., Markov L. M. Mnogopozitsionnie radiotehnicheskie sistemy. Moscow, Radio i svyaz, 1986, 264 p.

Yarlikov M. S. Statisticheskaya teoria radionavigatsii. Moscow, Radio i svyaz, 1985, 344 p.

ShirmanYa. D., Losev U. I., Minervin N. I. i dr. Radioelektronnye sistemy, osnovy postroenia i teoria. Spravochnik. Moscow, ZAT “Makvis”, 1998, 828 p.

Balakrishnan A. V. Teoria filtratsii Kalmana. Moscow, Mir, 1988, 200 p.

Vasyliev V. M., Naumenko K. V. Vykorystannya optymalnyh metodiv otsinku traektornyh parametriv za danymy radiodalekomirnyh system. Visnyk NAU, 2011, no. 4, pp. 20-24.

Vasyliev V. M., Naumenko K. V. Otsinka tochnosti optymalinogo obroblennya traektornyh vymiryuvan bagatopozytsiynyh dalekomirnyh system. Problemu informatyzatsii ta upravlinnya, 2011, no. 2(30), pp. 31-35.

Vasyliev V. M., Naumenko K. V. Pidvyshchennya tochnosti traektornoy otsinku v bagatopozytsiynyh dalekomirnyh systemah sposterezhennya. Zb. Nauk. Prats Viyskovogo inst-tu telekomunikatsii ta informatyzatsii NTUU “KPI”, 2011, no. 2, pp.6-11.



How to Cite

Науменко, К. and Васильєв, В. (2012) “Accuracy of trajectory estimation algorithms based on distance- measuring surveillance data using different linearization methods”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(51), pp. 77-87. doi: 10.20535/RADAP.2012.51.77-87.



Telecommunication, navigation, radar systems, radiooptics and electroacoustics