Method for identifying transmitters by a terminal in a single-frequency network

A telecommunication receiver comprising a front end for receiving signals transmitted by transmitters in a plurality of transmitters of a single-frequency network, the transmitters being synchronized and transmitting with an artificial delay τi, specific to each transmitter, a same radiofrequency signal on one and the same carrier frequency, wherein the telecommunication receiver comprises a processor configured to:

• identify a more probable mapping {circumflex over (σ)} between measured pseudo-distances ρi and the transmitters;
• acquire, by the telecommunication receiver, as assistance data, an approximate position of the telecommunication receiver {circumflex over (p)}, and a list of transmitters {Tx} located in a vicinity of the telecommunication receiver with respective positions pi and delays τi, i being an integer index for identifying the transmitters ranging from 1 to a cardinal of the list;
• receive at the telecommunication receiver radiofrequency signals corresponding to the radiofrequency signals transmitted by the transmitters and measure, at the telecommunication receiver, pseudo-distances ρi between the transmitters and the telecommunication terminal;
• and
• determine at the telecommunication receiver, a more probable mapping {circumflex over (σ)} between the measured pseudo-distances ρi and the transmitters of known positions p{circumflex over (σ)}(i) by minimizing a cost function σ(ρi,{circumflex over (p)},σ) over a set of all mappings σ between the measured pseudo-distances ρi and the transmitters, said cost function ν(ρi,{circumflex over (p)},σ) being equal to a powered norm of an error vector defined as a difference between a first vector of the measured pseudo-distances ρi and a second vector of calculated pseudo-distances model functions depending from the assistance data and the mapping σ.