Dilution of precision (DOP), or geometric dilution of precision (GDOP), is a term used in satellite navigation and geomatics engineering to specify the additional multiplicative effect of navigation satellite geometry on positional measurement precision.
The concept of dilution of precision (DOP) originated with users of the Loran-C navigation system. The idea of Geometric DOP is to state how errors in the measurement will affect the final state estimation. This can be defined as:
Conceptually you can imagine errors on a measurement resulting in the term changing. Ideally small changes in the measured data will not result in large changes in output location, as such a result would indicate the solution is very sensitive to errors. The interpretation of this formula is shown in the figure to the right, showing two possible scenarios with acceptable and poor GDOP.
There's war in the heavens
Rebellion on high
the son of the morning
Descends from a black sky
Severed and broken
His wings burned to dust
His coverings of diamonds and gold
In a moment in time dissolve to rust
Thunder and lightning
Shatter the night
The dragon of darkness
Appears cursed by the keeper of the light
The dark is chosen
The scroll has been sealed
Hidden in verses of prophets
His face is revealed
Songs of glory
Shout across the land
I can take you there
Child of mine, take my hand
Down through the ages
The story's been told
The daughter of wisdom
Beguiled by the serpent of old
Born into sin in a valley of thorns
Torn from enchantment and
Tossed into the eye of the storm
Heaven's garden
Made by God for man
This is paradise
Child of mine, take my hand
Glory to glory
Sin after sin
The rider of death
Pushes on to the place where
The battle must begin
Songs of glory
Shout across the land
This is paradise
Won't you take my hand
Heaven's garden
Made by God for man
This is paradise
Child of mine, take my hand
Oh, take my hand