A receiver for a digital data transmission device for receiving a digital signal and comprising a free sampler physically taking samples rk of a received signal r(t) at a frequency at least equal to twice the received signal spectrum maximum frequency. A digital interpolator allows to derive a sequence of samples Xk calculated from said physical samples, according to a tuning parameter null. An equalizer adjustable to a set of equalization parameters e allows to process said interpolator output samples Xk. A computing unit simultaneously provides, in a single processing, values of null to the digital interpolator and values of the equalization parameters e to the digital equalizer. The invention also provides a method for digitally processing a received signal in a digital transmission device.