Abstract: Various embodiments of the present invention provide systems and methods for data processing retries. As an example, a data processing retry circuit is discussed that includes a stepped erasure window register, and an erasure flag set circuit. The stepped erasure window register includes: an erasure flag location, an erasure flag length, and a step size. The erasure flag set circuit is operable to assert a first erasure flag beginning at the erasure flag location and having the erasure flag length at a first time. In addition, the erasure flag set circuit is operable to assert a second erasure flag beginning at the erasure flag location plus the step size, and having the erasure flag length at a second time.

Abstract: Various embodiments of the present invention provide systems and methods for determining changes in fly-height. For example, various embodiments of the present invention provide storage devices that include a storage medium having servo data thereon. A read/write head assembly is disposed in relation to the storage medium. A servo based fly-height adjustment circuit receives the servo data via the read/write head assembly, and calculates a first harmonics ratio based on the received data and compares the first harmonics ratio with a second harmonics ratio to determine an error in the distance between the read/write head assembly and the storage medium.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. For example, a method for data processing is disclosed that includes receiving an LDPC codeword, and grouping active bits from the LDPC codeword into a series of data bits including one or more user data bits including and at least one LDPC parity bit. The series of data bits satisfies an LDPC parity equation.

Abstract: Various embodiments of the present invention provide systems and methods for generating a parity check matrix used in data processing. As an example, a method for generating a parity check matrix including selecting a non-affiliated variable node; identifying a check node of the lowest degree; connecting a first edge of the non-affiliated variable node to the identified check node; and connecting one or more additional edges of the non-affiliated variable node to check nodes in accordance with a quasi-cyclic constraint associated with a circulant is disclosed.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. For example, a method for data processing is disclosed that includes receiving a codeword that has at least a first circulant with a plurality of data bits and a first circulant parity bit, a second circulant with a plurality of data bits and a second circulant parity bit, and one or more codeword parity bits. The methods further include decoding the codeword using the one or more codeword parity bits to access the first circulant and the second circulant, performing a first circulant parity check on the first circulant, and performing a second circulant parity check on the second circulant.

Abstract: Various embodiments of the present invention provide systems and methods for gain control. For example, some embodiments of the present invention provide variable gain control circuits. Such circuits include a zero forcing loop generating a zero forcing feedback and a least mean square loop generating a least mean square feedback. An error quantization circuit generates a hybrid feedback based upon a threshold condition using the zero forcing feedback and the least mean square feedback. A variable gain amplifier is at least in part controlled by a derivative of the hybrid feedback.

Abstract: Various embodiments of the present invention provide systems and methods for out of order memory management. For example, a method for out of order data processing is disclosed. The method includes providing an out of order codeword memory circuit that includes a number of codeword memory locations in a codeword memory area and the same number of index values in an index area. Each of the index values corresponds to a respective one of the codeword memory locations. The methods further include receiving a data set; storing the data set to one of the codeword memory locations; receiving an indication that the data set stored in the one of the codeword memory locations has completed processing; and grouping an index value corresponding to the one of the codeword memory locations with one or more other index values corresponding to unused codeword memory locations.

Abstract: Various embodiments of the present invention provide systems and methods for write pre-compensation. For example, various embodiments of the present invention provide systems for on-the-fly estimation of write pre-compensation values. Such systems include a magnetic storage medium, a read/write head assembly disposed in relation to the magnetic storage medium, and an analog to digital converter that receives an analog signal from the read/write head assembly corresponding to a data set stored on the magnetic storage medium and provides a series of digital samples corresponding to the data set. The storage devices further include a read data processing circuit that receives the same series of digital samples and provides a user data output, and a pre-compensation value calculation circuit that receives the series of digital samples and provides an updated write pre-compensation value.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. For example, a data processing circuit is disclosed that includes an increased iteration enable signal, a first detector circuit, a second detector circuit, and a data decoding circuit. The first detector circuit receives a data set and performs a data detection on the data set to provide a detected data set. The data decoding circuit receives a derivative of the detected data set and performs a decoding process to provide a decoded data set. The decoded data set is provided to the second detector circuit based at least in part on an assertion level of the increased iteration enable signal.

Abstract: Various embodiments of the present invention provide systems and methods for performing adaptive equalization. For example, various embodiments of the present invention provide methods for adaptive equalization that include providing a data processing system with an equalizer circuit (210) and a target filter circuit (265). The equalizer circuit performs equalization based at least in part on an equalizer coefficient (215). The methods further include generating an error (285) based upon a first output from the equalizer circuit and a second output from the target filter circuit. An inter-symbol interference component (295) is extracted from the error (285) and used to calculate an equalizer gradient (226). Based at least in part on the equalizer gradient (226), the equalizer coefficient (215) is calculated.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. For example, a data processing system is disclosed that includes a processing loop circuit having a data detector and a soft decision decoder. The data detector provides a detected output, and the soft decision decoder applies a soft decoding algorithm to a derivative of the detected output to yield a soft decision output and a first hard decision output. The systems further include a queuing buffer and a hard decision decoder. The queuing buffer is operable to store the soft decision output, and the hard decision decoder accesses the soft decision output and applies a hard decoding algorithm to yield a second hard decision output.

Abstract: Various embodiments of the present invention provide systems and methods for deriving data from a defective media region. As an example, a method for deriving data from a defective media region is disclosed that includes providing a storage medium and performing a media defect detection that indicates a defective region on the storage medium. A first data decode is performed on data corresponding to the defective region. The first data decode yields a first output. It is determined that the first output failed to converge and based at least in part on the failure of the first output to converge, a second data decode is performed on the data corresponding to the defective region. The second data decode includes zeroing out any soft data corresponding to the defective region and providing a second output.

Abstract: Various embodiments of the present invention provide systems and methods for validating elements of storage devices. A an example, various embodiments of the present invention provide semiconductor devices that include a write path circuit, a read path circuit and a validation circuit. The write path circuit is operable to receive a data input and to convert the data input into write data suitable for storage to a storage medium. The read path circuit is operable to receive read data and to convert the read data into a data output. The validation circuit is operable to: receive the write data, augment the write data with a first noise sequence to yield a first augmented data series; and augment a derivative of the first augmented data series with a second noise sequence to yield the read data.

Abstract: Two levels of error correction decoding are performed using first and second level decoders. A composite code formed by combining an inner component code and an outer component code can be used to decode the data and correct any errors. Performing two level decoding using a composite code allows the size of the inner parity block to be reduced to a single Reed-Solomon symbol while keeping a good code rate. The first level decoder generates soft information. The soft information can indicate a most likely error event for each possible syndrome value of the inner component code. The soft information can also include error metric values for each of the most likely error events. The second level decoder generates corrected syndrome values based on the soft information using the outer component code. The most likely trellis path that corresponds to the corrected syndrome values is then selected.

Abstract: Various embodiments of the present invention provide systems and methods for adaptive channel bit density estimation. For example, various embodiments of the present invention provide methods for adaptively estimating channel bit density. Such methods include providing a storage medium (178) that includes information corresponding to a process data set, and accessing the process data set from the storage medium (505). A first channel bit density estimate (535) is computed based at least in part on a first portion of the process data set (520-530), and a second channel bit density estimate (535) is calculated based at least in part on the first portion of the process data set, a second portion of the process data set (520-530) and the first channel bit density estimate (535).

Abstract: Various embodiments of the present invention provide systems and methods for determining fly-height adjustments. For example, various embodiments of the present invention provide storage devices that include a storage medium, a read/write head assembly disposed in relation to the storage medium (278), and a SAM based fly-height adjustment circuit (214). The storage medium (278) includes a plurality of servo data regions (110) that each include a servo address mark (154). The SAM based fly-height adjustment circuit (214) receives the servo address mark (154) from the plurality of servo data regions (110) via the read/write head assembly (276), and calculates a first harmonics ratio (445) based on the received data. The first harmonics ratio (445) is compared with a second harmonics ratio (450) to determine an error (365) in the distance (295) between the read/write head assembly (276) and the storage medium (278).

Abstract: Various embodiments of the present invention provide systems and methods for gain control. For example, some embodiments of the present invention provide variable gain control circuits. Such circuits include a zero forcing loop generating a zero forcing feedback and a least mean square loop generating a least mean square feedback. An error quantization circuit generates a hybrid feedback based upon a threshold condition using the zero forcing feedback and the least mean square feedback. A variable gain amplifier is at least in part controlled by a derivative of the hybrid feedback.

Abstract: Various embodiments of the present invention provide data processing circuits that include a multiplexer, a memory buffer, a data processing circuit, and a channel setting modification circuit. A first input of the multiplexer receives an input data set and a second input of the multiplexer receives a buffered data set. The multiplexer provides either the input data set or the buffered data set as a multiplexer output based upon a select signal. The memory buffer receives the multiplexer output and provides the buffered data set. Operation of the data processing circuit is at least in part governed by channel settings. The data processing circuit receives the multiplexer output and performs a data detection process. The select signal is asserted to select the buffered data set when the data detection process fails, and is asserted to select the input data set when the data detection process succeeds.

Abstract: Various embodiments of the present invention provide systems and methods for providing a corrected dibit signal. As an example, various embodiments of the present invention provide dibit correction circuits. Such dibit correction circuits include a dibit sample buffer, a maximum sample detector circuit, a side sample detector circuit, and a dibit correction circuit. The dibit sample buffer includes a plurality of samples of an uncorrected dibit signal. The maximum sample detector circuit identifies a maximum sample of the plurality of samples of the uncorrected dibit signal, and the side sample detector circuit identifies a first side sample prior to the maximum sample on the uncorrected dibit signal and a second side sample following the maximum sample on the uncorrected dibit signal.

Abstract: Various embodiments of the present invention provide systems and methods for reducing head distortion. For example, various embodiments of the present invention provide storage devices that include a storage medium, a read/write head assembly, and an adaptive distortion modification circuit. The storage medium includes information that may be sensed by the read/write head assembly that is disposed in relation to the storage medium. The adaptive distortion modification circuit receives the information sensed by the read/write head assembly and adaptively estimates and implements a distortion compensation factor in the analog domain. In some instances of the aforementioned embodiments, the read/write head assembly includes a magneto resistive head. In such instances, the distortion compensation factor is designed to compensate for non-linear distortion introduced by the magneto resistive head.