@article {,
	title = {LPS Auto-Calibration Algorithm with Predetermination of Optimal Zones},
	journal = {Sensors},
	volume = {11},
	year = {2011},
	month = {11/2011},
	pages = {10398 - 10414},
	abstract = {Accurate coordinates for active beacons placed in the environment are required in Local Positioning Systems (LPS). These coordinates and the distances (or differences of distances) measured between the beacons and the mobile node to be localized are inputs to most trilateration algorithms. As a first approximation, such coordinates are obtained by means of manual measurements (a time-consuming and non-flexible method), or by using a calibration algorithm (i.e., automatic determination of beacon coordinates from ad hoc measurements). This paper presents a method to calibrate the beacons{\textquoteright} positions in a LPS using a mobile receiver. The method has been developed for both, spherical and hyperbolic trilateration. The location of only three test points must be known a priori, while the position of the other test points can be unknown. Furthermore, the paper describes a procedure to estimate the optimal positions, or approximate areas in the coverage zone, where the test-points necessary to calibrate the ultrasonic LPS should be placed. Simulation and experimental results show the improvement achieved when these optimal test-points are used instead of randomly selected ones.},
	keywords = {LPS; autocalibration; spherical and hyperbolic trilateration; optimal test points},
	issn = {1424-8220},
	doi = {10.3390/s111110398},
	author = {Ruiz, Francisco Daniel and Ure{\~n}a, J. and Garcia, Juan Carlos and Ana Jim{\'e}nez and {\'A}lvaro Hern{\'a}ndez and J. J. Garc{\'\i}a}
}
