Systems and methods for timing and gain acquisition

A method for estimating data processing parameters, the method comprising:

• receiving a data input at a sample splitting circuit, wherein the data input includes a series of samples that repeat periodically over at least a first phase and a second phase, and wherein the sample splitting circuit is operable to divide the series of samples into at least a first sub-stream corresponding to the first phase and a second sub-stream corresponding to the second phase;
• providing the first sub-stream to a first averaging circuit, and averaging the values from the first sub-stream to yield a first average;
• providing the second sub-stream to a second averaging circuit, and averaging the values from the second sub-stream to yield a second average;
• calculating a frequency value based at least in part on the first average and the second average;
• calculating a first differencing sequence based at least in part on the first sub-stream;
• calculating a second differencing sequence based at least in part on the second sub-stream;
• and
• wherein calculating the frequency value is based at least in part on the first differencing sequence and the second differencing sequence.

A storage device, the storage device comprising:

• a storage medium, wherein the storage medium includes information, wherein the information includes a periodically repeating pattern that repeats over at least a first phase, a second phase, a third phase and a fourth phase;
• a read/write head assembly, wherein the read/write head assembly is disposed in relation to the storage medium;
• a read channel circuit, wherein the read channel circuit is operable to receive the information via the read/write head assembly and converts the information to a series of digital samples, and wherein the read channel circuit includes:
• a sample splitting circuit, wherein the sample splitting circuit is operable to receive the series of digital samples and is operable to divide the series of digital samples into at least a first sub-stream corresponding to the first phase, a second sub-stream corresponding to the second phase, a third sub-stream corresponding to the third phase, and a fourth sub-stream corresponding to the fourth phase;
• a first averaging circuit, wherein the first averaging circuit is operable to average values from the first sub-stream to yield a first average;
• a second averaging circuit, wherein the second averaging circuit is operable to average values from the second sub-stream to yield a second average;
• a third averaging circuit, wherein the third averaging circuit is operable to average values from the third sub-stream to yield a third average;
• a fourth averaging circuit, wherein the fourth averaging circuit is operable to average values from the fourth sub-stream to yield a fourth average;
• a parameter calculation circuit, wherein the parameter calculation circuit is operable to calculate a frequency value based at least in part on the first average, the second average, the third average and the fourth average;
• a differencing circuit operable to calculate a first differencing sequence based at least in part on the first sub-stream, a second differencing sequence based at least in part on the second sub-stream, a third differencing sequence based at least in part on the third sub-stream, and a fourth differencing sequence based at least in part on the fourth sub-stream;
• and
• wherein the parameter calculation circuit includes a frequency computation circuit, wherein the frequency computation circuit is operable to calculate the frequency value based at least in part on the first differencing sequence, the second differencing sequence, the third differencing sequence, and the fourth differencing sequence.