主权项 |
1. A positioning method for positioning an electronic apparatus comprising:
solving a geometric algebraic expression that relates:
1) position vectors for a plurality of signals received from either a) a plurality of antennas or b) a plurality of receivers relative to a shared origin,2) a putative position vector for the shared origin and3) phase information measured at each of the plurality of a) the antennas or b) the receivers, to determine a position vector for the shared origin; and positioning the electronic apparatus using the determined position vector for the shared origin, wherein solving the geometric algebraic expression comprises determining a putative position vector for the shared origin that is parallel to a difference vector defined as the difference between an averaged origin dependent vector and an averaged phase dependent vector wherein the averaged origin dependent vector is formed from a summation of geometric products, each of which involves two position vectors for a respective antenna and the putative position vector for the shared origin and wherein the averaged phase dependent vector is formed from a summation of geometric products involving two position vectors for a respective antenna or receiver, wherein one of the two position vectors is scaled using the phase information for the respective antenna or receiver. |