A method for synchronizing a telecommunications receiver device, the telecommunications receiver device receiving an impulse radio ultrawide-band (IR-UWB) signal, the IR-UWB signal comprising data packets, a data packet of the data packets comprising a preamble, the preamble comprising a first preamble portion of at least two occurrences of a first preamble sequence of N pulses spaced apart by a period T and that are each equal to a reference pulse weighted by a complex coefficient cn, n=0 to N−1 indicating a rank of a pulse in a first sequence, and the preamble further comprising a second preamble portion of at least two occurrences of a second preamble sequence equal to a complex conjugate of the first sequence, the method comprising synchronizing the telecommunications receiver device to the received IR-UWB signal according the preamble,
- and the method further comprising:
- i/ sampling by the telecommunications receiver device, the preamble with a sampling period Ts, T=P×Ts with P an integer greater than or equal to 1;
- ii/ considering NP successive samples sn, for n=0 to NP−1, of a slice, of duration NT, of the first preamble portion of a received signal packet, and determining, by the telecommunications receiver device, the sequence of values,
- x
- n
- =
- c
- ⌊
- n
- P
- ⌋
- *
-
- s
- n
- ,
- where c* is the complex conjugate;
- iii/ considering the NP successive samples zn, for n=0 to NP−1, of a slice, of duration NT, of the second preamble portion of a received signal packet, and determining, by the telecommunications receiver device, the sequence of values
- y
- n
- =
- c
- ⌊
- n
- P
- ⌋
-
- z
- n
- ;
- iv/ determining, by the telecommunications receiver device, frequency fd of the sequence xn and frequency fg of the sequence yn with n=0 to NP−1;
- v/ computing, by the telecommunications receiver device, at least one shift to be applied to synchronize to the received IR-UWB signal among a frequency shift Δf and a time shift t0m according to the following equations:
- f
- d
- =
- 1
- N
-
- P
-
- T
- s
-
- (
- ⌊
- t
- 0
-
- m
- T
- ⌋
- +
- ϵ
- )
- +
- Δ
-
- f
- f
- g
- =
- -
- 1
- N
-
- P
-
- T
- s
-
- (
- ⌊
- t
- 0
-
- m
- T
- ⌋
- +
- ϵ
- )
- +
- Δf
- ,
- and
- vi/ synchronizing, by the telecommunications receiver device, the received IR-UWB signal according to the computed shift.