Analytical Method Solving System of Hyperbolic Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F15%3A00530231" target="_blank" >RIV/60162694:G43__/15:00530231 - isvavai.cz</a>

Výsledek na webu

<a href="http://vavtest.unob.cz/registr" target="_blank" >http://vavtest.unob.cz/registr</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/RADIOELEK.2015.7129064" target="_blank" >10.1109/RADIOELEK.2015.7129064</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical Method Solving System of Hyperbolic Equations

Popis výsledku v původním jazyce

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 toeach 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 intersectionpoints of two hyperbolas in 3-D space in general and finally used in estimating target position using TDOA.

Název v anglickém jazyce

Analytical Method Solving System of Hyperbolic Equations

Popis výsledku anglicky

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 toeach 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 intersectionpoints of two hyperbolas in 3-D space in general and finally used in estimating target position using TDOA.

Druh

D - Stať ve sborníku

CEP obor

KA - Vojenství

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

25th International Conference Radioelektronika 2015

ISBN

978-1-4799-8117-5

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

343-348

Název nakladatele

IEEE

Místo vydání

Pardubice, Czech Republic

Místo konání akce

Pardubice, Czech Republic

Datum konání akce

1. 1. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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