A Direct 2D Position Solution for an APNT-System

Kurzfassung

A future APNT-System will be composed of ground based ranging sources and other sensors (e.g. barometric altimeter, IMU). The vertical Dilution of Precision for a system of ground stations can be significantly higher than for GNSS, therefore the integration of altitude measurements is especially important. We propose two different algorithms to integrate an altitude measurement: an iterative position solution with an additional equation for the altitude and a direct position solution which introduces a quadratic constraint for the altitude measurement to a least squares problem using Lagrange multipliers.