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}
}
  • S. Bancroft
  • Published 1985
  • Mathematics
  • IEEE Transactions on Aerospace and Electronic Systems
  • 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
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    References

    A Novel Procedure for Assessing the Accuracy of Hyperbolic Multilateration Systems
    • H. Lee
    • Engineering, Computer Science
    • IEEE Transactions on Aerospace and Electronic Systems
    • 1975
    • 124