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Antti Lehtinen Doppler Positioning with GPS - Matematiikan laitos

Antti Lehtinen Doppler Positioning with GPS - Matematiikan laitos

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Abstract<br />

TAMPERE UNIVERSITY OF TECHNOLOGY<br />

Department of Electrical Engineering<br />

Institute of Mathematics<br />

<strong>Lehtinen</strong>, <strong>Antti</strong>: <strong>Doppler</strong> <strong>Positioning</strong><strong>with</strong> <strong>GPS</strong><br />

Master of Science thesis, 58 pages<br />

Examiners: Prof. Keijo Ruohonen and M.Sc. Paula Syrjärinne<br />

Funding: Nokia Mobile Phones<br />

March 2002<br />

Satellite positioningis expected to have hundreds of millions of users in the near<br />

future. There is a huge commercial potential in personal positioning. The standard<br />

positioningsystem nowadays is the Global <strong>Positioning</strong>System (<strong>GPS</strong>). The<br />

<strong>GPS</strong> is very accurate in good conditions. In indoors and urban areas, however,<br />

the standard <strong>GPS</strong> positioningusually fails. This decreases suitability of the <strong>GPS</strong><br />

for personal positioning.<br />

The objective of this thesis was to examine a new <strong>GPS</strong> positioningmethod based<br />

on <strong>Doppler</strong> measurements. <strong>Doppler</strong> positioning<strong>with</strong> the <strong>GPS</strong> has generally been<br />

overlooked because it provides worse accuracy than the standard method. However,<br />

the <strong>Doppler</strong> measurements can be obtained even in very bad conditions.<br />

Thus, when combined <strong>with</strong> cellular network assistance, the method may prove<br />

valuable.<br />

In this thesis, a new positioning algorithm is developed. The algorithm needs only<br />

the <strong>Doppler</strong> measurements from at least four <strong>GPS</strong> satellites, the <strong>GPS</strong> satellite<br />

orbital parameters and the current time. A general theory for estimating errors<br />

in <strong>GPS</strong> <strong>Doppler</strong> positioningis also developed. Numerical results are compared<br />

<strong>with</strong> the measurements and the accuracy of the algorithm is assessed.<br />

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