A receiver for digital signals includes a radiofrequency stage. A feedback loop controls a variable attenuation resistance applied to a modulated radiofrequency signal passing through the radiofrequency stage as a function of a comparison of an amplitude of the modulated radiofrequency signal with a reference value. A baseband stage includes an RC network cascaded to the radiofrequency stage and coupled to a baseband detector that generates the baseband signal. The feedback loop includes a circuit for detecting a range of variation of the comparison. The value of the variable resistance is controlled as a function of an end value (e.g., maximum or minimum) of the detected range of variation.