# Patent

## Title
Timing recovery for data storage channels with buffered sectors

## Abstract

A storage channel, e.g., for a disk drive system, may asynchronously sample and buffer an entire sector, and then process the buffered sector to recover timing information. The storage channel may operate in an open-loop and utilize an exhaustive search to determine timing parameters. Alternatively, the storage channel may operative in a closed-loop, processing the sector once, and feeding back information obtained during decoding to the timing loop.

## Background
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims priority to U.S. Provisional Application Ser. No. 60/505,602, filed on Sep. 23, 2003.


BACKGROUND
In many systems, data is transmitted or retrieved asynchronously, i.e., without any additional timing reference. However, the receiver or detector in the system must eventually process the data synchronously. To do this, the receiver or detector must recover the timing information (e.g., the “clock”) from the data at the receive end.
Timing recovery is becoming a major challenge in data storage channels, such as in disk drive storage systems. As storage capacities and data rates increase, design tradeoffs may require that the storage channels operate in a noisier environment with higher raw error rates. However, more noise and more raw detection errors may make reliable timing recovery more difficult.
SUMMARY
A storage channel, e.g., for a disk drive system, may asynchronously sample and buffer an entire sector and then process the buffered sector to recover timing information. The system may then re-sample the buffered sector using the recovered timing information.
The storage channel may include a read head to read an analog waveform including a number of sectors from a storage medium. A sampler may sample the waveform at the Nyquist rate.
The storage channel may operate in an open-loop and utilize an exhaustive search to determine timing parameters. A timing recovery module may determine coefficients in a polynomial modeling frequency characteristics of the signal. A decoder may decode the buffered sector using a plurality of sets of timing parameters obtained from the exhaustive search and to determine an optimal set of timing parameters. A re-sampling module may then re-sample the buffered sector using the optimal set of timing parameters. The re-sampling module may interpolate data points in the buffered sector in response to the timing information.
In an embodiment, a timing recovery module may process the buffered sector bi-directionally. The timing recovery module may determine a first phase offset using information in a pre-amble of the sector, determine a second phase offset using information in a post-amble of the sector, and then determine a frequency offset from the first phase offset and the second phase offset.
The storage channel may operate in a closed-loop, processing the sector once, and feeding back information obtained during decoding to a timing loop. The timing recovery module may launch the timing loop in a tracking mode using the determined frequency offset. The decoder may decode the re-sampled data points in the buffered sector, and provide timing information obtained from said decoding to the timing loop.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a block diagram of a data storage channel with open-looped timing recovery.
FIG. 2 is a block diagram illustrating a disk drive data sector format.
FIG. 3 is a flowchart describing a timing recovery operation using an open-loop approach.
FIG. 4 is a flowchart describing a timing recover operation using a closed-loop approach.
FIG. 5 is a block diagram of a data storage channel with closed-loop timing recovery.
FIG. 6 is a block diagram illustrating a bi-directional processing data sector format.
FIG. 7 is a flowchart describing a timing recovery operation using a combination open-looped/close-looped approach.



DETAILED DESCRIPTION
FIG. 1 shows a communication channel 100 according to an embodiment. The communication channel may be a data storage channel implemented in a disk drive storage system. A read head may read data from a disk and input the data 102 to the storage channel as an analog waveform.
The data on the disk may be organized in sectors. FIG. 2 shows an exemplary sector format 200. The sector may be 512 bytes (4096 bits) long and include a preamble 202, an address mark 204, and data 206.
FIG. 3 is a flowchart describing a timing recovery operation according to an embodiment. The input waveform may be asynchronously sampled by an analog-to-digital converter 104 (block 302). The storage channel samples the waveform at a sampling rate of at least the Nyquist rate, which is at least twice as fast as the maximum frequency component of the waveform. The Nyquist rate is the sampling rate necessary to cover the complete spectrum of the signal and accurately recover the continuous waveform. Consequently, the storage channel can recover the continuous-time waveform and, if necessary, reconstruct the value of the waveform at any instant by interpolation without loss of information.
In an embodiment, the storage channel may buffer an entire sector in a buffer 106 (block 304). The buffered sector may be processed for timing information by a timing recovery module 108. A re-sampling module 110 may use the recovered clock to re-sample the buffered sector, which may then be processed by a Viterbi detector 112 to estimate the actual signal.
Timing recovery basically deals with two variables: frequency (f) and phase (φ). Once the initial phase offset and frequency offset values are decided, there is a deterministic relationship between the phase and frequency at any time, which is that the phase is the time-integration of the frequency, i.e.,

φ(t)=1∫0f(t)dt+φ(0).

The initial phase offset can be any value between 0 and 1.0 T, where T is the length of one clock cycle. The initial frequency offset is usually very small, with typical values being smaller than +/−0.5%. Also, the frequency drift over the duration of one sector is either a very small value or virtually zero. Therefore, it can be assumed that with regard to the sampling frequency, the data frequency is either constant or a function of time that can be characterized by a low-order (e.g., third order or lower) polynomial.
Since there are only a few parameters to estimate regarding the timing recovery, an exhaustive search may be performed to find the optimal values of these parameters (block 306). The initial phase offset may be estimated using phase acquisition information provided in the preamble of the sector. For example, a Zero Phase Start (ZPS) technique may be utilized. ZPS information may be provided in the preamble at the beginning of a sector. ZPS is a technique that provides a way to quickly determine the sampling phase. A known portion of the signal, e.g., a sinusoidal waveform, may be sampled at four samples per cycle. With zero phase offset, the samples would be taken at the peak and zero crossing points on the waveform. The sampling phase may be determined by calculating the offset between the samples and the peak and zero crossing points.
The ZPS should provide an accurate estimate of the phase offset at the beginning of the sector. Even if exhaustive search is needed to estimate the initial phase offset, the search may be limited to a narrow range around the estimate produced by the ZPS operation and will not be dominant in deciding the complexity of computation. As described above, the frequency characteristics of the sector may be modeled by a low order polynomial (e.g., f(t)=f0+f1x+f2x2+f3x3). For the exhaustive search of the frequency parameters f0, f1, f2, f3, the zero-order term f0, (i.e., the initial frequency offset) and the first-order term, f1, (i.e., the drifting rate of the frequency during a sector) will be the most important two terms of decide. Their range of search and accuracy will be the deciding factors for the computational complexity of the exhaustive search. The second- and third-order terms (f2 and f3) are likely to be insignificant. The limits, and step size(s), of the exhaustive searches may be predetermined, e.g., set by the disk drive manufacturer based on known tolerances.
A Maximum-likelihood (ML) criterion may be used to determine the optimal parameters. A re-sampled sequence may be generated using the timing decided by each combination of the phase and frequency parameters and loss-free interpolation (block 308). Viterbi detection may then be performed on the re-sampled sequence, and the likelihood of the detected sequence calculated (block 310). The likelihood may be indicated by a metric such as the mean square error (MSE), Euclidian distance, and/or their modified versions with non-linear pattern-dependent effects taken into account. The metric may be stored for each set of parameters (block 3120). The optimal set of parameters is the one that gives the maximum likelihood (block 314). The parameters corresponding to the maximum likelihood decision may be provided to the re-sampling module 110 and the buffered sector re-sampled using the optimal set of parameters (block 316).
In the embodiment described above, timing recovery is operating in an open-loop (i.e., without a traditional timing loop). However, the exhaustive search techniques may require a significant amount of computational complexity, which translates into computation time and cost.
In an embodiment, timing recovery may be performed by processing the buffered sector only once (in a bi-directional process) in order to save computational resources. FIG. 4 is a flowchart describing a timing recover operation using a closed-loop approach. The complete sector may be sampled asynchronously at the Nyquist rate (possible higher) (block 302) and then buffered (block 304). The data storage channel 500 may include a timing loop 502 (e.g., phase locked loop (PLL) 502), as shown in FIG. 5.
The format 600 of the sector may be modified, as shown in FIG. 6, so that the sector can be processed from front-to-back and back-to-front. In many systems, the preamble is used for frequency and phase acquisition, with a length of about 120 bits. In the sector format shown in FIG. 6, the preamble may be shortened to a length just long enough to perform a reliable ZPS (block 406), even in the presence of a bit error rate (BER) of le−2, e.g., about 16-bits, or 32-bit for a more reliable estimate. Then based on this ZPS, and with a close enough estimation of frequency, the address mark at the beginning of the sector can be detected (block 408). Another address mark 606 and a post-amble 608 may be added to the end of the sector. The post-amble may be just long enough to perform another ZPS (block 410). Based on the ZPS from the post-amble bits, the second address mark can be detected by processing the sector backwards (block 412). Since the time interval between the two address marks can be decided with an accuracy within a fraction of a sampling clock cycle, and the number of data bits between the two address marks is known, a very accurate average frequency offset can be calculated (block 414). If the frequency is not drifting noticeably over one sector, then the calculated average frequency offset can be used as initial frequency offset for the timing loop (block 416). The timing loop can then be launched into the tracking mode (block 418). As long as the initial frequency error is smaller than +/+0.1%, the tracking-mode timing loop can start operating reliably. Timing information may be fed back to the timing loop from the Viterbi detector as it processes the re-sampled and interpolated data points in the buffered sector (block 420).
In alternative embodiments, combinations of the open-looped exhaustive search and the close-looped processing may be used. For example, the bi-directional sector format 600 shown in FIG. 6 can also be used with the open-looped, exhaustive search technique. With the ending phase value and average frequency offset known, the exhaustive search can be performed in much narrower ranges and therefore significantly expedited. FIG. 7 is a flowchart describing a timing recovery operation using a combined open-looped/close-looped approach. A close-looped timing recovery (block 702, shown in detail in FIG. 4) can be performed first by utilizing the information of the averaged frequency offset over a buffered sector. If at the end of the sector, the timing loop appears to have operated normally (block 704), which can be indicated by the end phase value, averaged frequency register value, and abruptness of phase changes, then the history of the frequency register value can be used as a good starting curve and a good indicator of the widths of the ranges for the exhaustive search. Narrowed widths for a range of search based on these indicators may be calculated (block 706), and an open-looped exhaustive search performed in the narrowed range (block 708, shown in detail in FIG. 3). The combined open-looped/close-looped approach may improve the overall channel performance by removing timing jitter.
A number of embodiments have been described. Nevertheless, it will be understood that various modifications may be made without departing from the spirit and scope of the invention. For example, blocks in the flowcharts may be skipped or performed out of order and still produce desirable results. Accordingly, other embodiments are within the scope of the following claims.

## Claims

1. A method comprising:
asynchronously sampling a signal including a sector;
buffering the sector;
processing the buffered sector to recover timing information including estimating a phase error using a preamble of the buffered sector and locating address marks in the preamble using the estimated phase error; and
re-sampling the buffered sector using the timing information.

2. The method of claim 1, wherein said sampling comprises sampling the signal at the Nyquist rate.

3. The method of claim 1, wherein the signal comprises an analog waveform read from a storage medium.

4. The method of claim 3, wherein the waveform comprises a plurality of sectors.

5. The method of claim 1, wherein said processing comprises performing an exhaustive search to determine coefficients in a polynomial modeling frequency characteristics of the signal.

6. The method of claim 5, further comprising:
re-sampling and decoding the buffered sector using a plurality of sets of timing parameters obtained from the exhaustive search; and
determining an optimal set of timing parameters.

7. The method of claim 6, further comprising:
re-sampling the buffered sector using the optimal set of timing parameters.

8. The method of claim 1, wherein said re-sampling comprises interpolating data points in the buffered sector in response to the timing information.

9. An apparatus comprising:
a buffer to receive and buffer an input sampled sector from a sampler;
a timing recovery module to recover timing information from the buffered sector, estimate a phase error using a preamble of the buffered sector and locate address marks in the preamble using the estimated phase error; and
a re-sampling module to re-sample the buffered sector using the timing information from the timing recovery module.

10. The apparatus of claim 9, further comprising:
a sampler to asynchronously sample a signal including the sector.

11. The apparatus of claim 10, wherein the sampler is operative to sample the signal at the Nyquist rate.

12. The apparatus of claim 10, wherein the signal comprises an analog waveform read from a storage medium.

13. The apparatus of claim 12, wherein the waveform comprises a plurality of sectors.

14. The apparatus of claim 9, wherein the timing recovery module is operative to determine coefficients in a polynomial modeling frequency characteristics of the signal.

15. The apparatus of claim 9, further comprising:
a decoder to decode the buffered sector using a plurality of sets of timing parameters obtained from an exhaustive search and to determine an optimal set of timing parameters.

16. The apparatus of claim 15, wherein the re-sampling module is operative to re-sample the buffered sector using the optimal set of timing parameters.

17. The apparatus of claim 9, wherein the re-sampling module is operative to interpolate data points in the buffered sector in response to the timing information.

18. An apparatus comprising:
means for buffering an input sampled sector from the sampler;
means for recovering timing information from the buffered sector including means for estimating a phase error using a preamble of the buffered sector and means for locating address marks in the preamble using the estimated phase error;
means for re-sampling the buffered sector using the timing information from the timing recovery module; and
means for performing an exhaustive search to determine timing parameters associated with the buffered sector.

19. The apparatus of claim 18, further comprising:
means for asynchronously sampling a signal including the sector.

20. The apparatus of claim 19, further comprising:
means for sampling the signal at the Nyquist rate.

21. The apparatus of claim 19, wherein the signal comprises an analog waveform read from a storage medium.

22. The apparatus of claim 21, wherein the waveform comprises a plurality of sectors.

23. The apparatus of claim 18, further comprising:
means for determining coefficients in a polynomial modeling frequency characteristics of the signal.

24. The apparatus of claim 18, further comprising:
means for decoding the buffered sector using a plurality of sets of timing parameters obtained from the exhaustive search; and
means for determining an optimal set of timing parameters.

25. The apparatus of claim 24, further comprising:
means for re-sampling the buffered sector using the optimal set of timing parameters.

26. The apparatus of claim 18, further comprising:
means for interpolating data points in the buffered sector in response to the timing information.

27. A computer program embodied in a computer readable media comprising instructions for causing a computer to:
asynchronously sample a signal including a sector;
buffering the sector;
process the buffered sector to recover timing information including estimating a phase error using a preamble of the buffered sector and locating address marks in the preamble using the estimated phase error; and
re-sample the buffered sector using the timing information.

28. The computer program of claim 27, wherein instructions to sample comprise instructions to sample the signal at the Nyquist rate.

29. The computer program of claim 27, wherein the signal comprises an analog waveform read from a storage medium.

30. The computer program of claim 29, wherein the waveform comprises a plurality of sectors.

31. The computer program of claim 27, wherein instructions to process comprise instructions to perform an exhaustive search to determine coefficients in a polynomial modeling frequency characteristics of the signal.

32. The computer program of claim 31, further comprising instructions to:
re-sample and decode the buffered sector using a plurality of sets of timing parameters obtained from the exhaustive search; and
determine an optimal set of timing parameters.

33. The computer program of claim 32, further comprising instructions to:
re-sample the buffered sector using the optimal set of timing parameters.

34. The computer program of claim 27, wherein instructions to re-sample comprise instructions to interpolate data points in the buffered sector in response to the timing information.

35. A storage system comprising:
a read head to read data; and
a storage channel to receive said data, the storage channel including
a buffer to receive and buffer an input sampled sector from a sampler,
a timing recovery module to recover timing information from the buffered sector, the timing recovery module to estimate a phase error using a preamble of the buffered sector and locate address marks in the preamble using the estimated phase error, and
a re-sampling module to re-sample the buffered sector using the timing information from the timing recovery module.

36. The system of claim 35, further comprising:
a sampler to asynchronously sample a signal including the sector.

37. The system of claim 36, wherein the sampler is operative to sample the signal at the Nyquist rate.

38. The system of claim 36, wherein the signal comprises an analog waveform read from a storage medium.

39. The system of claim 38, wherein the waveform comprises a plurality of sectors.

40. The system of claim 35, wherein the timing recovery module is operative to determine coefficients in a polynomial modeling frequency characteristics of the signal.

41. The system of claim 35, further comprising:
a decoder to decode the buffered sector using a plurality of sets of timing parameters obtained from an exhaustive search and to determine an optimal set of timing parameters.

42. The system of claim 41, wherein the re-sampling module is operative to re-sample the buffered sector using the optimal set of timing parameters.

43. The system of claim 35, wherein the re-sampling module is operative to interpolate data points in the buffered sector in response to the timing information.

44. A storage system comprising:
means for reading data; and
a storage channel to receive said data, the storage channel including
means for buffering an input sampled sector from the sampler,
means for recovering timing information from the buffered sector including means for estimating a phase error using a preamble of the buffered sector and means for locating address marks in the preamble using the estimated phase error,
means for re-sampling the buffered sector using the timing information from the timing recovery module, and
means for performing an exhaustive search to determine timing parameters associated with the buffered sector.

45. The system of claim 44, further comprising:
means for asynchronously sampling a signal including the sector.

46. The system of claim 45, further comprising:
means for sampling the signal at the Nyquist rate.

47. The system of claim 45, wherein the signal comprises an analog waveform read from a storage medium.

48. The system of claim 47, wherein the waveform comprises a plurality of sectors.

49. The system of claim 44, further comprising:
means for determining coefficients in a polynomial modeling frequency characteristics of the signal.

50. The system of claim 44, further comprising:
means for decoding the buffered sector using a plurality of sets of timing parameters obtained from the exhaustive search; and
means for determining an optimal set of timing parameters.

51. The system of claim 50, further comprising:
means for re-sampling the buffered sector using the optimal set of timing parameters.

52. The system of claim 44, further comprising:
means for interpolating data points in the buffered sector in response to the timing information.