An Algebraic Solution of the GPS Equations
@article{Bancroft1985AnAS, title={An Algebraic Solution of the GPS Equations}, author={S. Bancroft}, journal={IEEE Transactions on Aerospace and Electronic Systems}, year={1985}, volume={AES-21}, pages={56-59} }
The global positioning system (GPS) equations are usually solved with an application of Newton's method or a variant thereof: Xn+1 = xn + H-1(t - f(xn)). (1) Here x is a vector comprising the user position coordinates together with clock offset, t is a vector of tour pseudorange measurements, and H is a measurement matrix of partial derivatives H = fx· In fact the first fix of a Kalman filter provides a solution of this type. If more than four pseudoranges are available for extended batch… CONTINUE READING
262 Citations
GPS estimation algorithm using stochastic modeling
- Computer Science
- Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)
- 1998
- 20
Alternative algorithms for the GPS static positioning solution
- Mathematics, Computer Science
- Appl. Math. Comput.
- 2001
- 23
Estimation of relative satellite position using transformed differential carrier-phase GPS measurements
- Mathematics
- 2007
- 13
The GPS filtering problem
- Mathematics
- IEEE PLANS 92 Position Location and Navigation Symposium Record
- 1992
- 13
References
A Novel Procedure for Assessing the Accuracy of Hyperbolic Multilateration Systems
- Engineering, Computer Science
- IEEE Transactions on Aerospace and Electronic Systems
- 1975
- 124