Estimability in Strapdown Airborne Vector Gravimetry
Estimability was introduced as a measure of how much observations can contribute to the estimation process for a linear system. Several publications analyse the estimabilities for integrated navigation systems, comprising a strapdown inertial measurement unit (IMU) and observations from global navigation satellite systems (GNSS). This concept will hereby be adapted to strapdown vector gravimetry, being a special application of a IMU/GNSS system. Simulations are presented showing to what extent different observation types, as positions, velocities and attitudes, can contribute to the determination of gravity disturbances. Knowledge about these characteristics of the system may be useful for the planning of future airborne gravimetry missions. In particular, the estimability of the deflection of the vertical (DOV) is analysed. During a non-accelerated flight, it is poorly estimable due to its high sensitivity to attitude errors. However, for flight manoeuvres comprising horizontal or vertical accelerations, the DOV estimability can be shown to increase significantly.
KeywordsDOV Estimability IMU Observability Strapdown vector gravimetry
- Baram Y, Kailath T (1987) Estimability and regulability of linear systems. In: 26th IEEE conference on decision and control, 1987, vol 26. IEEEGoogle Scholar
- Deurloo RA (2011) Development of a Kalman filter integrating system and measurement models for a low-cost strapdown airborne gravimetry system. Ph.D. dissertation, Faculty of Sciences, University of Porto, PortoGoogle Scholar
- Tomé P (2002) Integration of inertial and satellite navigation systems for aircraft attitude determination. Ph.D. dissertation, Faculty of Sciences, University of Porto, PortoGoogle Scholar
- Vander Kuylen L et al (2006) Comparison of attitude performance for multi-antenna receivers. Eur J Navig 4(2):1–9Google Scholar