Abstract
Wide area multilateration algorithms suffer from stability issues related to the fact that the reference points are nearly coplanar. This paper presents a method to add elevation angle measurements to a multilateration problem and thereby reduce the error perpendicular to the plane where the measurements are taken. The resulting measurement error is significantly reduced for co- planar and nearly coplanar reference points.
Highlights
One of the goals in aviation is to detect and track aircraft in flight
This arrangement is numerically unstable in multilateration algorithms and typically produces significant error in the vertical position of the aircraft
This paper presents a hybrid multilateration (HM) algorithm for incorporating triangulation measurements into a multilateration calculation to improve the accuracy of the calculated positions
Summary
One of the goals in aviation is to detect and track aircraft in flight. This is traditionally done using radar, which measures the distance and direction to a target from a known position ([1], p. 3). In physical multilateration implementations with ground-based receivers spread over a wide area, the target and receivers are often nearly coplanar This arrangement is numerically unstable in multilateration algorithms and typically produces significant error in the vertical position of the aircraft. This paper presents a hybrid multilateration (HM) algorithm for incorporating triangulation measurements into a multilateration calculation to improve the accuracy of the calculated positions. The HM algorithm improves the accuracy of position calculations for scenarios with receivers that are coplanar or nearly coplanar This allows for more precise measurement of the 3-dimensional position of aircraft in flight over a wide area. Methods to measure the altitude of aircraft in flight through passive signal detection typically rely on triangulation only [5] [6]
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