Method and system for position error signal generation using auto correlation

An apparatus for generating a position error signal relative to a track from a read signal produced by a read element passing over a magnetic media in response to the read element detecting a track comprising two patterns positioned parallel to each other on a magnetic media, the system comprising:

• first and second repetitive harmonically unrelated patterns disposed parallel to each other on the track;
• delay means coupled to the read element for producing a first delayed signal and a second delayed signal from the read signal generated by the read element;
• multiplication means coupled to the delay means for multiplying the read signal with the first delayed signal to form a first product signal and for multiplying the read signal with the second delayed signal to form second product signal;
• subtraction means coupled to the multiplication means for subtracting the first product signal from the second product signal to produce a differential signal;
• and
• integration means coupled to the subtraction means for integrating the differential signal to produce a position error signal, wherein changes in the position error signal are proportional to changes in position of the read element over the first and second repetitive harmonically unrelated patterns positioned parallel to each other on the magnetic media.

An apparatus for generating a position error signal from a read signal generated by a read element passing over a track, the apparatus comprising:

• a first pattern having a first frequency parallel to a second pattern having a second frequency on a magnetic media, wherein the first and second patterns are located on the track are repetitive and harmonically unrelated;
• delay means for producing a delayed signal from the read signal;
• multiplication means for multiplying the read signal with the delayed signal to form a product signal;
• and
• integration means for integrating the product signal to produce a position error signal, wherein changes in the position error signal are proportional to changes in position of the read element over the first pattern and the second pattern.

A method for generating a position error signal from a read signal generated by a read element passing over a track having two patterns disposed parallel to each other on a magnetic media, the method comprising:

• generating a delayed signal from the read signal produced by the read element passing over two repetitive harmonically unrelated patterns positioned parallel to each other on the track;
• multiplying the read signal with the delayed signal to form a product signal;
• and
• integrating the product signal to produce a position error signal, wherein changes in the position error signal is proportional to changes in position of the read element over the two repetitive harmonically unrelated patterns positioned parallel to each other on the magnetic media.

A method for generating a position error signal from a read signal generated by a read element passing over a track having two patterns disposed parallel to each other on a magnetic media, the method comprising:

• generating a first and second delayed signal from the read signal produced by the read element passing over the two repetitive harmonically unrelated patterns positioned parallel to each other on the track;
• multiplying the read signal with the first delayed signal to form a first product signal;
• multiplying the read signal with the second delayed signal to form a second product signal;
• subtracting the first product signal from the second product signal to produce a subtracted signal;
• and
• integrating the subtracted signal to produce a position error signal, wherein changes in the position error signal are proportional to changes in the position of the unrelated patterns positioned parallel to each other on the magnetic media.

A data storage system comprising:

• a read element for producing a read signal upon detection of a servo track, wherein the servo track includes two repetitive patterns positioned parallel to each other on the servo track, the two patterns being harmonically unrelated to each other;
• delay means responsive to the read signal for producing a delayed read signal;
• multiplication means for multiplying the delayed read signal with the read signal to form a product signal;
• and
• integration means for integrating the product signal to produce a position error signal proportional to changes in contribution to the read signal by first and second repetitive and harmonically unrelated patterns in the read signal, produced by the read element.

An apparatus for generating a position error signal from a read signal generated by a read element passing over a track comprising two patterns positioned parallel to each other on a magnetic media, the system comprising:

• first and second repetitive harmonically unrelated patterns disposed parallel to each other on the track;
• digitizing means coupled to the read element for producing a trinary representation of the read signal;
• delay means coupled to the digitizing means for producing a delayed signal from the read signal;
• multiplication means coupled to the delay means for multiplying the read signal with the delayed signal to form a product signal;
• and
• integration means coupled to the multiplication means for integrating the product signal to produce a position error signal, wherein changes in the position error signal are proportional to changes in position of the read element over the first and second repetitive harmonically unrelated patterns positioned parallel to each other on the magnetic media.