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== Geometric dilution of precision computation (GDOP) {{anchor|gdop}} ==
=== Computation of geometric dilution of precision ===
The concept of geometric dilution of precision was introduced in the section, ''error sources and analysis''. Computations were provided to show how PDOP was used and how it affected the receiver position error standard deviation.
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The horizontal dilution of precision, <math> HDOP = \sqrt{d_x^2 + d_y^2}</math>, and the vertical dilution of precision, <math>\ VDOP = \sqrt{d_{z}^2}</math>, are both dependent on the coordinate system used. To correspond to the local horizon plane and the local vertical, ''x'', ''y'', and ''z'' should denote positions in either a North, East, Down coordinate system or a South, East, Up coordinate system.
=== Derivation of
The equations for computing the geometric dilution of precision terms have been described in the previous section. This section describes the derivation of these equations. The method used here is similar to that used in [http://books.google.com/books?id=lvI1a5J_4ewC&pg=PA474&lpg=PA474&dq=PDOP+derivation&source=web&ots=k5ojJtGZFu&sig=NwwUJb5wAKYuXooiYmvwGKRWkJQ&hl=en&sa=X&oi=book_result&resnum=1&ct=result#PPA470,M1 "Global Positioning System (preview) by Parkinson and Spiker"]
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