To reconstruct data transmitted over a transmission path, for example a cable, the corresponding signal received by the receiver is firstly amplified and subsequently made discrete by means of an A/D-converter (6), in order to obtain a suitable digital signal, whereby the signal amplified for this purpose is scanned with a relatively low sampling rate, which can frequently lie in the Nyquist range or can be even less than the Nyquist frequency. Subsequently the signal made discrete in this way is filtered by means of a digital high pass filter (8) and equalized by means of a digital cable approximation filter (9) to compensate any distortion occurring during the transmission over the transmission path. By means of a phase locked loop (14, 18) a regenerated clock (CLK) and synchronous with this clock the originally transmitted data (DATA) is recovered from the digital signal processed in this way.