Accuracy Limitations of Hyperbolic Multilateration Systems

A recently developed procedure [1] for assessing the accuracy of hyperbolic multilateration systems makes it easy to determine basic limitations on accuracy. This paper illustrates how such bounds can be derived. The results include bounds for a variety of geometries that are representative of pract...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 1975-01, Vol.AES-11 (1), p.16-29
Main Author: Lee, Harry B.
Format: Article
Language:English
Subjects:
Aerospace and electronic systems
Aircraft
Covariance matrix
Geometry
Laboratories
Random variables
Satellites
Timing
Transmitters
Transportation
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Summary:A recently developed procedure [1] for assessing the accuracy of hyperbolic multilateration systems makes it easy to determine basic limitations on accuracy. This paper illustrates how such bounds can be derived. The results include bounds for a variety of geometries that are representative of practical ground-based and satellite-based hyperbolic systems. The results are applicable whenever the ranging errors can be treated as uncorrelated zeromean random variables. In some cases the bounds quantify general knowledge (e. g., the directional dependence of errors). In other cases the bounds represent entirely new limitations (e. g., optimum accuracies for sector-restricted and cone-restricted transmitter/receiver configurations).
ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.1975.308024