METHOD AND DEVICE FOR THE RELATIVE POSITIONING OF A PLURALITY OF ELECTRONIC APPARATUSES IN COMMUNICATION WITH A COMMUNICATION DEVICE, AND ASSOCIATED COMMUNICATION SYSTEM

A method for relative positioning of electronic apparatuses in communication with a communication device establishing a set of communication channels through which the device exchanges electromagnetic signals with each electronic apparatus includes, for each electronic apparatus, estimating a vector for which the elements represent, respectively, transmission through the communication channels between the device and the respective electronic apparatus, for at least first and second electronic apparatuses, determining a minimum distance from the distances existing, for all possible phase-shift values, between a first vector having a predetermined norm which is colinear to the vector estimated for the first electronic apparatus, and a second vector having the predetermined norm which is colinear to the vector estimated for the second electronic apparatus and modified by applying a phase shift having a value among the possible values, and determining a position indicator for the first electronic apparatus based on the determined distance.