NDLI: Analytical method solving system of hyperbolic equations

Content Provider	IEEE Xplore Digital Library
Author	Vesely, J. Sang Van Doan
Copyright Year	2015
Description	Author affiliation: Dept. of Radar Technol., Univ. of Defense, Brno, Czech Republic (Vesely, J.; Sang Van Doan)
Abstract	A hyperbola is defined by difference of distances to foci, in which its absolute value is a constant. Solutions of a system of hyperbolic equations (SoHE) can represent for intersection points of two hyperbolas given by four individual points in xy-plane. In this study, analytical method solving SoHE is aimed to find intersection points of two hyperbolas in the general in xy-plane. The demonstrated method is based on two algorithms for two cases, in which the two hyperbolas are/are not perpendicular to each other. According to analytical algorithms solving quadratic and quartic equation in general, the results of analytical method solving SoHE are shown like explicit solutions. These results are requisite for further development in finding intersection points of two hyperbolas in 3-D space in general and finally used in estimating target position using TDOA.
Starting Page	343
Ending Page	348
File Size	359549
Page Count	6
File Format	PDF
ISBN	9781479981175
e-ISBN	9781479981199
DOI	10.1109/RADIOELEK.2015.7129064
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-04-21
Publisher Place	Czech Republic
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis Time difference of arrival analytical method solutions Radar Polynomials system of hyperbolic equations Mathematical model Iterative methods inersection points MATLAB
Content Type	Text
Resource Type	Article

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