Systems and methods are disclosed for phase locking multiple clocks of different frequencies. In certain embodiments, an apparatus may be configured to downsample a first clock having a first frequency and a second clock having a second frequency into downsampled clocks having the same frequency. The apparatus may adjust a frequency of the second clock so that the downsampled clocks are phase aligned. The apparatus may reset counters of the divider circuits that perform the downsampling so align them to a counter for the first clock. A counter for the second clock may also be reset to align with the counter for the first clock. The synchronized clocks may be applied in data storage operations, such as self-servo writing operations, where the first clock may be a read clock and the second clock may be a write clock.

The present disclosure provides a decoding device. The decoding device includes an iteration number computing unit and a recursive decoder. The iteration number computing unit receives multiple packet parameters corresponding to a packet and computes a codeword-number-per-symbol according to packet parameters, in which the packet includes multiple symbols. The iteration number computing unit computes an iteration number according to the codeword-number-per-symbol. The recursive decoder is coupled to the iteration number computing unit, and performs a decoding operation on a codeword within a data field of the packet according to the iteration number.

Provided is an optical transmission/reception device including an error correction decoding unit (36) for decoding a received sequence encoded with an LDPC code, in which the error correction decoding unit (36) is configured to perform decoding processing using a parity check matrix (70) of a spatially-coupled LDPC code, which includes a plurality of parity check sub-matrices (71) combined with each other, in which the decoding processing is windowed decoding processing that uses a window (80) over one or more parity check sub-matrices (71), and in which a window size of the window (80) and a decoding iteration count due to throughput and requested correction performance are variable and input from a control circuit (12) connected to the error correction decoding device (36).

An apparatus may include a circuit configured to receive first and second samples of an underlying data from respective first and second sample periods and which correspond to respective first and second sensors, a phase control value may have first and second values during respective first and second sample periods. The phase control value may be a control value for a sample clock signal. The circuit may also determine a difference in the phase control value between the first value and the second value. The circuit may then digitally interpolate the first and second samples to produce a phase shifted first and second samples where the digital interpolation of at least one of the first and second samples mat be at least in part based on the difference in the phase control value to compensate for a phase misalignment between the first sample and the second sample.

An apparatus can include a circuit configured to process an input signal using a set of channel parameters. The circuit can produce, using a first adaptation algorithm, a first set of channel parameters for use by the circuit as the set of channel parameters in processing the input signal. The circuit can further approximate a second set of channel parameters of a second adaptation algorithm for use by the circuit as the set of channel parameters in processing the input signal based on the first set of channel parameters and a relationship between a third set of channel parameters generated using the first adaptation algorithm and a fourth set of channel parameters generated using the second adaptation algorithm. In addition, the circuit can perform the processing of the input signal using the second set of channel parameters as the set of channel parameters.

An apparatus is provided. The apparatus comprises a first syndrome computation circuit configured to receive a codeword having a plurality of rows and a plurality of columns and further configured to compute a first syndrome for at least a portion of a first component codeword of the codeword. The apparatus further comprises a second syndrome computation circuit configured to receive the codeword and to compute a second syndrome for at least a portion of a second component codeword of the codeword. The apparatus further comprises a bit correction circuit configured to correct one or more erroneous bits in the codeword based, at least in part, on at least one of the first and second syndrome, wherein the first and second component codewords span two or more rows and two or more columns of the codeword.

Devices and methods described herein decode a sequence of coded symbols by guessing noise. In various embodiments, noise sequences are ordered, either during system initialization or on a periodic basis. Then, determining a codeword includes iteratively guessing a new noise sequence, removing its effect from received data symbols (e.g. by subtracting or using some other method of operational inversion), and checking whether the resulting data are a codeword using a codebook membership function. This process is deterministic, has bounded complexity, asymptotically achieves channel capacity as in convolutional codes, but has the decoding speed of a block code. In some embodiments, the decoder tests a bounded number of noise sequences, abandoning the search and declaring an erasure after these sequences are exhausted. Abandonment decoding nevertheless approximates maximum likelihood decoding within a tolerable bound and achieves channel capacity when the abandonment threshold is chosen appropriately.

An apparatus may include a circuit configured to receive a first phase control value of a phase control value signal, generate a first phase interpolator control signal value of a phase interpolator control signal and generate a first digital interpolator control signal value of a digital interpolator control signal. The apparatus may further be configured to phase interpolate a clock signal based on the first phase interpolator control signal value to produce a phase shifted clock signal and digitally interpolate a digital sample based on the first digital interpolator signal value to produce a phase shifted digital sample having an effective phase based on the first phase control value, the digital sample generated using the phase shifted clock signal as a sample clock.

The present disclosure provides a decoding device. The decoding device includes an iteration number computing unit and a recursive decoder. The iteration number computing unit receives multiple packet parameters corresponding to a packet and computes a codeword-number-per-symbol according to packet parameters, in which the packet includes multiple symbols. The iteration number computing unit computes an iteration number according to the codeword-number-per-symbol. The recursive decoder is coupled to the iteration number computing unit, and performs a decoding operation on a codeword within a data field of the packet according to the iteration number.

Systems and methods are disclosed for head delay calibration and tracking multi-sensor magnetic recording (MSMR) systems. In certain embodiments, an apparatus may comprise a first reader and a second reader configured to simultaneously read from a single track of a data storage medium, the first reader offset from the second reader so that the first reader and the second reader detect a same signal pattern offset in time. The apparatus may further comprise a circuit configured to determine a relative offset between the first reader and the second reader, including setting a fixed delay for a first signal from the first reader, setting a second delay for a second signal from the second reader, and adjusting the second delay to align the second signal to the first signal using a timing loop, with the first signal used as a reference signal.