Error analysis of hydrographic positioning and the application of least squares.
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Authors
Kaplan, Ali
Subjects
repeatability
predictability
circular error approximations
root mean square error
accuracy contours
least squares adjustment
observation equations
error ellipse
predictability
circular error approximations
root mean square error
accuracy contours
least squares adjustment
observation equations
error ellipse
Advisors
Leath, Dudley
Date of Issue
1980-09
Date
September 1980
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Repeatable accuracy of hydrographic positioning was
examined in terms of the two-dimensional normal distribution
function which results in an elliptical error figure. The
error ellipse was discussed, and two methods for conversion
of elliptical errors to circular errors were given. These
methods are "circle of equivalent probability" and "root
mean square error" (d ) . Using the d error concept,
repeatable accuracy of ranging, azimuthal, and hyperbolic
systems was evaluated, and methods were developed to draw
repeatability contours for those systems.
A brief theoretical background was provided to explain
the method of least squares and discuss its application to
hydrographic survey positioning. For ranging, hyperbolic,
azimuthal, sextant angle, and Global Positioning System the
least squares observation equations were developed. Specific
examples were constructed to demonstrate the capabilities
of this data adjustment technique when applied to redundant
position observations.
Type
Thesis
Description
Series/Report No
Department
Oceanography
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner