  The Local Position Measurement system (LPM) is one of the most precise
systems for 3D position estimation. It is able to operate in- and outdoor and
updates at a rate up to 1000 measurements per second. Previous scientific
publications focused on the time of arrival equation (TOA) provided by the LPM
and filtering after the numerical position estimation. This paper investigates
the advantages of the TOA over the time difference of arrival equation
transformation (TDOA) and the signal smoothing prior to its fitting. The LPM
was designed under the general assumption that the position of the base station
and position of the reference station are known. The information resulting from
this research can prove vital for the systems self-calibration, providing data
aiding in locating the relative position of the base station without prior
knowledge of the transponder and reference station positions.
