Delta range positioning assisted with satellites

We know that real global positioning, i.e. in all environments, has been a scientific challenge for several years. The Global Positioning System (GPS) launched the impulse with its democratization in the 2000s: geographical position has gradually become a constituent element of modern digital devices available to general public. Integrating a GPS chip into smartphones was only one step. The rise of the Internet Of Thing announced by the deployment of 5G reinforces this trend. Indeed, more and more connected objects will be present and many of their applications need the geographical position. In this context, satellite signals play a key role in calculating position, especially outdoors using the GPS function. In more challenging environments, or when the need for accuracy becomes crucial, these signals can be used alone or in conjunction with others (or other physical measurements). The recent deployment of several constellations of what are now called the Global Navigation Satellites Systems (GNSS) further reinforces the presence of these signals, which can therefore be used. The previous works [1-2] focused on a positioning method using the measurements of variations of distances between a mobile receiver device and transmitters (pseudolites) placed in the immediate environment. The same principles applied with GNSS satellites give the displacement vectors with a good accuracy. This allows carrying out positioning assisted with satellite whose results are presented here.