Localization via Range Measurement

The objective of the localization problem is to infer, from a set of range measurements, the position of an object in three-dimensional space, as accurately as possible. The problem would arise in the context of trying to estimate the location of a cell phone user based on the measurements of strength of a signal emitted from the cell phone to a number of base stations (access points).

• The localization problem
• Measurement consistency
• Inner approximation
• Outer box approximation
• Outer spherical approximations