A resampler converts a digital input sequence with an input sampling into a digital output signal sequence with an output sampling rate. An estimation device estimates the sampling rate ratio between the input sampling rate and the output sampling rate and the desired phase of the output signal sequence in an observation interval with a predetermined length of N samples of the output signal sequence, the observation intervals overlapping in the ratio 1:6. A control device compares the actual phase of the output signal sequence with the desired phase and, in a manner dependent on the estimated sampling rate ratio and the deviation of the actual phase from the desired phase, generates a control signal for in each case N/6 samples of the output signal sequence. An interpolator interpolates the input signal sequence for the purpose of generating the output signal sequence at sampling instants whose temporal position is predetermined by a control signal.