A closed-form formula for GPS GDOP computation

GPS Solutions

Volumn 13, Issue 3, 2009, Pages 183-190

  Doong, Shing H ^a  

^a SHU TE UNIVERSITY   (Taiwan)

Author keywords

GDOP; GPS; Newton's identities; Symmetric polynomials

Indexed keywords

ARTIFICIAL NEURAL NETWORK; CLOSED-FORM FORMULAE; GDOP; GEOMETRIC DILUTION OF PRECISION; GPS; GPS RECEIVERS; MATRIX; MEASUREMENT MATRIX; NEWTON'S IDENTITIES; POSITIONING PRECISION; POWERFUL FUNCTIONS; SYMMETRIC POLYNOMIAL; SYMMETRIC POLYNOMIALS; TRAINING DATA;

BACKPROPAGATION; NEURAL NETWORKS; POLYNOMIALS; SATELLITES;

GLOBAL POSITIONING SYSTEM;

ARTIFICIAL NEURAL NETWORK; GEOMETRY; GPS; MATRIX; POSITIONING; SATELLITE; SIGNAL;

EID: 70349999426     PISSN: 10805370     EISSN: 15211886     Source Type: Journal    
DOI: 10.1007/s10291-008-0111-2     Document Type: Article

References (18)

1. Atkinson KE (1978) An introduction to numerical analysis. Wiley, New York.
2. Berlekamp E (1968) Algebraic coding theory. McGraw-Hill, New York.
3. Cristianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other kernel-based learning methods. Cambridge University Press, Cambridge.
4. Goldstein LJ (1973) Abstract algebra: a first course. Prentice-Hall, Englewood Cliffs.
5. Hecht-Nielson R (1987) Kolmogorov's mapping neural network existence theorem. In: IEEE conference on neural networks, pp 11-14.
6. Hoffman K, Kunze RA (1961) Linear algebra. Prentice-Hall, Englewood Cliffs.
7. Jwo DJ (2001) Efficient DOP calculation for GPS with and without altimeter aiding. J Navig 54(2):269-279. doi:10.1017/S0373463301001321.
8. Jwo DJ, Chin KP (2002) Applying back-propagation neural networks to GDOP approximation. J Navig 55(1):97-108. doi:10.1017/S0373463301001606.
9. Jwo DJ, Lai CC (2003) Neural network-based geometry classification for navigation satellite selection. J Navig 56:291-304. doi:10.1017/S0373463303002200.
10. Jwo DJ, Lai CC (2007) Neural network-based GPS GDOP approximation and classification. GPS Solut 11:51-60. doi:10.1007/s10291-006-0030-z.
11. Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection (complex adaptive systems). MIT Press, Cambridge.
12. Macdonald IG (1995) Symmetric functions and Hall polynomials. Clarendon Press, Oxford.
13. Mead DG (1992) Newton's identities. Am Math Mon 99(8):749-751. doi:10.2307/2324242.
14. Phillips A (1984) Geometrical determination of PDOP. Navig J Inst Navig 31(4):329-337.
15. Simon D, El-Sherief H (1995) Navigation satellite selection using neural networks. Neurocomputing 7:247-258. doi:10.1016/0925-2312(94)00024-M.
16. Witten IH, Frank E (2005) Data mining, practical machine learning tools and techniques. Morgan Kauffman, San Francisco.
17. Yarlagadda R, Ali I, Al-Dhahir N, Hershey J (2000) GPS GDOP metric. IEE Proc Radar Sonar Navig 147(5):259-264. doi:10.1049/ip-rsn:20000554.
18. Zhu J (1992) Calculation of geometric dilution of precision. IEEE Trans Aerosp Elect Syst 28(3):893-894. doi:10.1109/7.256323.