Analytical Solution to the Problem of Hyperboloid Intersection for the Direction Finding of Radiation Sources

An analytical approach to finding the intersection points of N hyperboloids in N-dimensional space with euclidean metric is presented, taking into account the location of their foci relative to a selected basis. An important property of hyperboloids has been identified, which allows solving the prob...

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Bibliographic Details
Published in2024 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF) pp. 1 - 4
Main Author Klimov, K. N.
Format Conference Proceeding
LanguageEnglish
Published IEEE 03.06.2024
Subjects
Aerospace electronics
direction finding
Euclidean distance
euclidean metric
Extraterrestrial measurements
hyperboloid property
multidimensionality
orthonormal basis
Search problems
Telecommunications
Time difference of arrival
time-difference-of-arrival method
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Summary:An analytical approach to finding the intersection points of N hyperboloids in N-dimensional space with euclidean metric is presented, taking into account the location of their foci relative to a selected basis. An important property of hyperboloids has been identified, which allows solving the problem in the case of non-orthonormal bases, gaining significance in the direction finding of radiation sources by the time-difference-of-arrival method.
ISSN:2769-3538
DOI:10.1109/WECONF61770.2024.10564618