Digital timing recovery for constant density servo read operations

A storage device, comprising:

• a rotating constant-density storage medium on which constant-density servo data is written, the rotating constant-density magnetic storage medium having a plurality of tracks, wherein each track is written at a respective track pattern frequency, the respective track pattern frequencies varying from a lowest track pattern frequency at an innermost one of the plurality of tracks to a highest track pattern frequency at an outermost one of the plurality of tracks;
• and
• circuitry for reading the constant-density servo data, the circuitry comprising:
• a detector;
• and
• a controller configured to repeat, for each respective track of the constant-density magnetic storage medium:
• determining, based on the respective track pattern frequency of the respective track, a desired sampling position;
• causing the detector to sample actual samples of servo wedge data from the respective track based on a sampling clock used for all tracks, the sampling clock having a sampling frequency at least equal to the track pattern frequency of the outermost one of the plurality of tracks;
• determining a phase relationship of the desired sampling position to the sampling clock;
• on determining that the desired sampling position bears a first phase relationship to the sampling clock:
• interpolating an interpolated sample at the desired sampling position based on an interpolation clock;
• and
• on determining that the desired sampling position bears a second phase relationship to the sampling clock:
• omitting interpolation, and
• squelching the interpolation clock.