Error analysis for the Global Positioning System: Difference between revisions

Revision as of 01:42, 26 April 2012

Revision as of 01:44, 26 April 2012

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\end{bmatrix}

\ (1)</math>

where <math>\ e_1,\ e_2,\ e_3,\ and\ e_4 </math> are the errors in pseudoranges 1 through 4 respectively. This equation comes from linearizing [[Global_Positioning_System#Multidimensional_Newton-Raphson_calculations|the Newton-Raphson equation|Global_Positioning_System#Multidimensional_Newton-Raphson_calculations]] relating pseudoranges to receiver position, satellite positions, and receiver clock errors. Multiplying both sides by <math>\ A^{-1}\ </math> there results

:<math>\

\begin{bmatrix}