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

Abstract

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.