 # Error analysis for the Global Positioning System

The Global Positioning System makes corrections for receiver clock errors and other effects but there are still residual errors which are not corrected. The standard deviations, σ R {displaystyle \ sigma _{R}} , for the coarse/acquisition (C/A) and precise codes are also shown in the table. σ R {displaystyle \ sigma _{R}} is computed by taking the square root of the sum of the squares of the individual component standard deviations. These x, y, and z components may be components in a North, East, Down coordinate system a South, East, Up coordinate system or other convenient system. e = e x x ^ + e y y ^ + e z z ^ {displaystyle mathbf {e} =e_{x}{hat {x}}+e_{y}{hat {y}}+e_{z}{hat {z}}} where bold denotes a vector and x ^ {displaystyle {hat {x}}} , y ^ {displaystyle {hat {y}}} , and z ^ {displaystyle {hat {z}}} denote unit vectors along the x, y, and z axes respectively.

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