Systems and methods are disclosed for implementing unequal error correction code (ECC) in multi-track recording. A device may comprise a circuit configured to implement an error correction coding scheme applying different code rate error correction codes on adjacent tracks within a same recording zone. The circuit may perform a read operation, including simultaneously detecting bits from a first track and a second track of the adjacent tracks, iteratively applying detected bits from the first track to perform adjacent track interference cancellation (ATIC) to decode bits from the second track, and iteratively applying detected bits from the second track to perform ATIC to decode bits from the first track.

An image capturing apparatus comprises an image capturing unit that includes an image sensor that has an effective pixel region and a reference pixel region which outputs a reference signal for correcting an output signal of the effective pixel region. In a case where a predetermined condition is satisfied, a reduction unit reduces a data amount of reference pixel region data that corresponds to the reference pixel region in an image data obtained by the image capturing unit. A recording unit records the image data after the processing performed by the reduction unit.

An image capturing apparatus comprises an image capturing unit that includes an image sensor that has an effective pixel region and a reference pixel region which outputs a reference signal for correcting an output signal of the effective pixel region. In a case where a predetermined condition is satisfied, a reduction unit reduces a data amount of reference pixel region data that corresponds to the reference pixel region in an image data obtained by the image capturing unit. A recording unit records the image data after the processing performed by the reduction unit.

A noise cancellation technique is presented with improved frequency resolution. The method includes: acquiring a digitized noise signal from an environment in which the audio signal stream is present; receiving a data sample from the digitized noise signal; appending one or more additional samples to the data sample to form a series of samples, where magnitude for each of the one or more additional samples is substantially zero; computing a frequency domain representation of the series of samples in the frequency domain; shifting the frequency domain representation of the series of samples in time using the digital processor circuit, thereby producing a shifted frequency domain representation of the series of samples; converting the shifted frequency domain representation of the series of samples to time domain to form a portion of an anti-noise signal; and outputting the anti-noise signal into the audio signal stream to abate the noise through destructive interference.

A noise cancellation technique is presented with improved frequency resolution. The method includes: acquiring a digitized noise signal from an environment in which the audio signal stream is present; receiving a data sample from the digitized noise signal; appending one or more additional samples to the data sample to form a series of samples, where magnitude for each of the one or more additional samples is substantially zero; computing a frequency domain representation of the series of samples in the frequency domain; shifting the frequency domain representation of the series of samples in time using the digital processor circuit, thereby producing a shifted frequency domain representation of the series of samples; converting the shifted frequency domain representation of the series of samples to time domain to form a portion of an anti-noise signal; and outputting the anti-noise signal into the audio signal stream to abate the noise through destructive interference.

A data storage system comprises: a head configured to produce a signal representing data stored on a storage medium; an estimator configured to determine an estimated signal comprising a superposition of an estimated linear portion of a partial-response equalizer output and an estimated nonlinear portion of the signal; a bank of noise whitening filters configured for filtering a difference between the signal and the estimated signal; a branch metric calculator configured to calculate branch metrics based on the filtered signal; and an adaptive data-dependent noise-predictive maximum likelihood sequence detector configured to generate an output stream representing the data based on the one or more branch metrics.

A data storage system comprises: a head configured to produce a signal representing data stored on a storage medium; an estimator configured to determine an estimated signal comprising a superposition of an estimated linear portion of a partial-response equalizer output and an estimated nonlinear portion of the signal; a bank of noise whitening filters configured for filtering a difference between the signal and the estimated signal; a branch metric calculator configured to calculate branch metrics based on the filtered signal; and an adaptive data-dependent noise-predictive maximum likelihood sequence detector configured to generate an output stream representing the data based on the one or more branch metrics.

A noise cancellation technique is presented with improved frequency resolution. The method includes: acquiring a digitized noise signal from an environment in which the audio signal stream is present; receiving a data sample from the digitized noise signal; appending one or more additional samples to the data sample to form a series of samples, where magnitude for each of the one or more additional samples is substantially zero; computing a frequency domain representation of the series of samples in the frequency domain; shifting the frequency domain representation of the series of samples in time using the digital processor circuit, thereby producing a shifted frequency domain representation of the series of samples; converting the shifted frequency domain representation of the series of samples to time domain to form a portion of an anti-noise signal; and outputting the anti-noise signal into the audio signal stream to abate the noise through destructive interference.

An apparatus may comprise a circuit configured to receive first underlying data corresponding to a first signal with a first rate and receive a second signal with a second rate corresponding to second underlying data. The circuit may interpolate the first underlying data to generate a plurality of interpolated signals, determine, for the first signal, a first channel pulse response shape with the first rate, and determine an interference component signal based on the plurality of interpolated signals and the first channel pulse response shape. The circuit may then cancel interference in the second signal using the interference component signal to generate a cleaned signal.

An apparatus may comprise a circuit configured to receive first underlying data corresponding to a first signal with a first rate and receive a second signal with a second rate corresponding to second underlying data. The circuit may interpolate the first underlying data to generate a plurality of interpolated signals, determine, for the first signal, a first channel pulse response shape with the first rate, and determine an interference component signal based on the plurality of interpolated signals and the first channel pulse response shape. The circuit may then cancel interference in the second signal using the interference component signal to generate a cleaned signal.