Processing method in a wireless telecommunications receiver receiving a digitally modulated single-carrier signal, associated wireless telecommunications receiver and associated computer program

A wireless telecommunications receiver designed to receive a digitally modulated single-carrier signal, said receiver comprising a processing chain comprising a matched filter designed to perform shaping filtering on the signal in the time domain and to operate at a frequency drx×B and a frequency equalizer designed to perform frequency equalization on the filtered signal and deduce the modulation symbols of the equalized signal and to operate at the frequency B, drx being strictly greater than 1;

• the receiver comprising, between the matched filter and the equalizer, a decimation block designed to decimate the filtered signal by a factor drx, said receiver being wherein the decimation block is designed to perform the following operations:
• i/said decimation block is designed to extract, from a filtered signal frame:
• a first sequence of samples, said samples being samples for aiding the decimation and having the same power;
• and
• a second sequence of samples, said samples being the payload samples intended to be equalized;
• ii/said decimation block is designed to estimate the variance in the power of each of the drx decimation phases of the first sequence of samples;
• to compare the estimated power variances with one another and identify the decimation phase associated with the minimum variance, said identified phase being the nth phase, with nϵ{0, 1, . . . ;
• drx−1};
• iii/said decimation block is designed to decimate the second sequence of samples by a factor drx, the samples at the sampling frequency equal to B and delivered at the output of said decimation step being those of the nth decimation phase of the second sequence;
• iv/said decimation block is designed to supply, at the input of the frequency equalizer, said samples at the sampling frequency equal to B and delivered at the output of said decimation step.