Joint Target Tracking and Systematic Error Correction for Wide Area Multilateration

In this paper, a complete and rigorous mathematical model for secondary surveillance radar systematic errors (biases) is developed. The model takes into account the physical effects systematically affecting the measurement processes. The azimuth biases are calculated from the physical error of the antenna calibration and the errors of the angle determination dispositive. Distance bias is calculated from the delay of the signal produced by the refractivity index of the atmosphere, and from clock errors, while the altitude bias is calculated taking into account the atmosphere conditions (pressure and temperature). It will be shown, using simulated and real data, that adapting a classical bias estimation process to use the complete parametrized model results in improved accuracy in the bias estimation.

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“…As it is seen [ 26 ] two relevant characteristics can be observed. The first one is that the range error depends on the altitude of the aircraft.…”

Section: Range Biasmentioning

confidence: 93%

Complete Systematic Error Model of SSR for Sensor Registration in ATC Surveillance Networks

Jarama

López-Araquistain

Miguel

et al. 2017

Sensors

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“…Sin embargo, aún no existen ejemplos de sistemas WAM desplegados en litorales o archipiélagos, con el fin de localizar y vigilar las aeronaves situadas fuera de la constelación. En este sentido, [17] se encargó de presentar un 27 Time Difference Of Arrival 28 Frequency Difference Of Arrival 29 Terminal Maneuvering Area: se trata del área que rodea a un grupo de aeropuertos. Los límites de ésta son variables, en función de las necesidades del tráfico, y a su vez pueden estar divididas en sectores de control.…”

Section: 31314unclassified

“…Un trabajo posterior [17] compara las diferentes ramas de la familia de parábolas, efectuando el cociente (C) de la división de ∆P a una altitud determinada entre ∆P para una altitud de 14000m, para una misma distancia euclídea.…”

Section: Modelo De La Distorsión Atmosféricaunclassified

“…• coeficiente de determinación 56 : R 2 =0.982 con lo que podemos modelar C mediante una función afín, tal y como se enuncia en [17]:…”

Section: Modelo De La Distorsión Atmosféricaunclassified

“…Así, si bien [33] presenta un polinomio de segundo orden para caracterizar ∆T basado en las evaluaciones de [35], [17] sugiere que la magnitud de la deriva (determinada por los coeficientes de orden uno y orden dos) durante el intervalo de estimación de los errores sistemáticos sea limitada.…”

Section: ∆T(t)-∆t(t 0 )unclassified

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Localización y seguimiento de aeronaves mediante sistemas de multilateración de área extensa

Momma¹

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Compensation of Positioning Errors Caused by Tropospheric Wave Propagation in Wide-Area Multilateration Systems

Monakov

Mirolubov²

2020

Izv. vysš. učebn. zaved. Ross., Radioèlektron.

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Introduction. Wide area multilateration (WAM) systems are the main competitors of secondary surveillance radar (SSR) systems used in air traffic control (ATC). The general principle of WAM operation is based on the assessment of pseudoranges between a signal source (an aircraft airborne transponder) and the ground receivers with precisely known geographical coordinates deployed over the ATC area. The aircraft position is estimated by measuring pseudoranges. A significant factor affecting the accuracy of aircraft positioning is tropospheric refraction, a phenomenon caused by the inhomogeneity of the earth's atmosphere and manifested in a deviation in the direction of the rays along which the signal of an aircraft transponder propagates. Refraction increases the lengths of ray paths, thus increasing the corresponding pseudoranges. As a result, the estimate of the aircraft position receives an additional bias. Altitude estimates produce unreasonably large errors.Aim. To develop a mathematical model for the signals received by a WAM system, which accounts for tropospheric wave propagation, as well as to derive an algorithm for aircraft positioning with compensated tropospheric errors.Materials and methods. Equations for the pseudorange estimation errors caused by wave propagation in a spherically stratified atmosphere were derived using the method of geometrical optics.Results. This paper proposed a mathematical model for pseudorange estimates in WAM systems, which accounts for the bias associated with the phenomenon of tropospheric refraction. An analysis of the proposed model showed that pseudorange errors depend linearly on the distance between the aircraft transponder and the receiver. This conclusion allowed an algorithm for aircraft positioning with compensated tropospheric errors to be developed. The proposed algorithm yields an unbiased estimate of the aircraft position. The standard deviation of altitude estimates increases by 60%, although remaining within the limits permissible for WAM systems.Conclusions. The developed mathematical model of WAM signals, which considers tropospheric propagation errors in pseudorange estimation, as well as the algorithm for aircraft positioning with compensated tropospheric errors, can be used in the development of spatially distributed navigation systems.

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Joint Target Tracking and Systematic Error Correction for Wide Area Multilateration

Cited by 3 publications

References 4 publications

Complete Systematic Error Model of SSR for Sensor Registration in ATC Surveillance Networks

Complete Systematic Error Model of SSR for Sensor Registration in ATC Surveillance Networks

Localización y seguimiento de aeronaves mediante sistemas de multilateración de área extensa

Compensation of Positioning Errors Caused by Tropospheric Wave Propagation in Wide-Area Multilateration Systems

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