Tracking system for recording/reading a data medium and recording medium

A system for reading a magnetic medium having several tracks of data which can be read in parallel, and comprising a detection device having at least as many detectors as there are tracks, making it possible to read simultaneously and at regular intervals a sample of data on each track, said detection device having a parallel/series shift register receiving in parallel the samples of data read by the detectors at each read time and retransmitting them in series form, the system comprising:

• a processing circuit configured to receive the sample of data to be processed from each track, together with a sample of data from a first adjacent track and a sample of data from a second adjacent track, and to calculate a cross-talk affecting the sample of data to be processed due to the adjacent tracks;
• an integration circuit configured to receive and integrate the cross-talk, obtained at each read time and at subsequent read times;
• and
• a relative track-following control circuit configured to receive a result of integration of the integrator circuit (I1) and to supply a track-following control signal for the detection device, wherein said processing circuit comprises means for multiplying the value of the sample to be processed by +1 when the sample of the first adjacent track is negative and the sample of the second adjacent track is positive, by −1 when the sample of the first adjacent track is positive and the sample of the second adjacent track is negative, or by 0 when the samples of the adjacent tracks are of the same sign.