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Nonclassical determination of spatial coordinates of ocean-bottom acoustic transponders

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Bulletin Géodésique (1946-1975)

Abstract

Most current methods for acoustic-transponder-array survey are based on the assumption that certain parameters are known and held fixed. Often, however, most of these parameters are very poorly known. Using observed data, the authors outline how these inadmissible assumptions can be eliminated using a nonclassical method for determination of the spatial coordinates of ocean-bottom acoustic transponders and statistical analysis. The problems involved in the elimination process and their remedies, and the precision achievable are discussed. The influence of the number of data points and their spatial distribution is demonstrated, based on statistical tests.

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Bibliography

  1. A.C. CAMPBELL: “Geodetic Methods Applied to Acoustic Positioning”, Proceedings of First Marine Geodesy Symposium, 1966.

  2. H. CRAMER:Mathematical Methods of Statistics, Princeton University Press, 1946.

  3. H.E. ENGEL, D.E. LEV, and A. GELB: “Absolute Position Determination of Sonar Beacons”, Proceedings of First Marine Geodesy Symposium, 1966.

  4. L. FOX:Introduction to Numerical Linear Algebra, Clarendon Press, Oxford, 1964.

    Google Scholar 

  5. D.M.J. FUGARA:Three-Dimensional Geodesy Applied to Terrestrial Networks, Ph. D. Dissertation, University of New Brunswick, Fredericton, 1969.

    Google Scholar 

  6. D.M.J. FUBARA and A.G. MOURAD: “Analysis of a Marine Geodetic Control Establishment Technique and Potential Applications”, Presented at the AGU National Fall Meeting, San Francisco, Calif., December, 1970.

  7. W.C. HAMILTON:Statistics in Physical Science, The Ronald Press Company, New York, 1964.

    Google Scholar 

  8. W.E. HART: “Calibration of an Ocean Bottom Acoustic Transponder Net”,Informal Report, Naval Oceanographic Office, IR No. 67-24.

  9. A.G. MOURAD, A.T. HOPPER, D.M.J. FUBARA, and G.T. RUCK: “C-Band Radar Marine Geodesy Experiment Using USNS Vanguard”, Report prepared for NASA, Waloops Station under Contract No. NAS 6-1733, 1970.

  10. K. RAMSAYER: “Spatial Triangulation in a Local, Astronomic Oriented Cartesian Coordinate System”,Bulletin Geodesique, No. 92, pp. 123–137, June, 1969.

    Article  Google Scholar 

  11. H.H. SCHMID, and E. SCHMID: “A Generalized Least Squares Solution for Hybrid Measuring Systems”, 2nd Geodesy Symposium University of New Brunswick, Fredericton, 1964.

  12. W. VANDERKULK: “Remarks on a Hydrophone Location Method”, U.S. Navy Journal of Underwater Acoustics Vol. 77, No. 2, 1961.

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Fubara, D.M.J., Battelle Nonclassical determination of spatial coordinates of ocean-bottom acoustic transponders. Bull. Geodesique 107, 43–63 (1973). https://doi.org/10.1007/BF02522085

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  • DOI: https://doi.org/10.1007/BF02522085

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