using the widelane biases associated with the satellites received from a reference system and global positioning of the receiver with the help of measurements of code and phase and the coherent widelane ambiguities the global positioning comprises for each satellite the determination of a pseudo distance by means of an ionosphere free combination of the measurements of code and of the difference of the phase measurements compensated for the widelane ambiguity this ionosphere free combination being optimized in terms of noise the pseudo distance is determined by receiving the satellite clock values associated with the ionosphere free combination from the reference system application_number US 200913119638 A description for each satellite that is visible from the receiver i e for each satellite above the horizon at the geographic location of the receiver then at the level of the receiver at step 10 of fig1 there are at least two measurements of code non ambiguous denoted p 1 and p 2 and at least two measurements of phase ambiguous denoted l 1 and l 2 for the frequencies f 1 and f 2 respectively where c represents the speed of light for the bands l1 and l2 of the gps system then for example f 1 154 f 0 and f 2 120 f 0 where f 0 10 23 mhz the convention will be used in which the code measurements p 1 p 2 are expressed in units of length whereas the phase measurements l 1 l 2 are expressed in cycles the equation for the model of the measurements of code and phase without phase jumps measurements to the left models to the right are the following u03bb 1 l 1 d.