Abstract: Various embodiments of the present invention provide systems and methods for data processing. For example, data processing systems are disclosed that include: a data decoder circuit, a decoder log, a mis-correction detection circuit, and a controller circuit.

Abstract: Various embodiments of the present invention provide systems and methods for min-sum based decoding of non-binary LDPC codes. For example, a non-binary low density parity check data decoding system is discussed that includes a variable node processor and a check node processor. The variable node processor is operable to generate variable node to check node message vectors and to calculate perceived values based on check node to variable node message vectors. The check node processor is operable to generate the check node to variable node message vectors and to calculate checksums based on variable node to check node message vectors. The check node processor includes a minimum and subminimum finder circuit operable to process a plurality of sub-messages in each variable node to check node message vector. The check node processor also includes a select and combine circuit operable to combine an output of the minimum and subminimum finder circuit to generate the check node to variable node message vectors.

Abstract: Various embodiments of the present invention provide systems and methods for decoding codewords in a multi-section non-binary LDPC decoder. For example, an LDPC decoder is disclosed that includes a variable node processor operable to perform variable node updates based at least in part on check node to variable node messages and to generate variable node to check node messages, and a check node processor operable to process the variable node to check node messages in groups across each of a plurality of sections of an H matrix and to generate the check node to variable node messages.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. A data processing circuit is disclosed that includes: a data detector circuit, a first symbol constrained arrangement circuit, and a second symbol constrained arrangement circuit. The data detector circuit is operable to apply a data detection algorithm to a combination of a first input data set and a decoded data set to yield a detected output that includes a number of non-binary symbols. The first symbol constrained arrangement circuit is operable to receive the detected output and to re-arrange the detected output in accordance with a first arrangement algorithm to yield a re-arranged output. The bits for at least one non-binary symbol from the detected output are maintained together in the re-arranged output.

Abstract: Various embodiments of the present invention provide systems and methods for generating a code format. One method discussed includes: Various embodiments of the present invention provide methods for generating a code format. Such methods include: receiving an indication of a low weight codeword having a trapping set; selecting an initial value for a base matrix; testing the low weight codeword after modification by the initial value to determine an updated weight of the low weight codeword; and testing the low weight codeword after modification by the initial value to determine whether the trapping set remains.

Abstract: The present inventions are related to systems and methods for data processing, and more particularly to systems and methods for mis-correction detection and correction in a data processing system.

Abstract: The present inventions are related to systems and methods for data processing, and more particularly to systems and methods for variable rate encoding and/or decoding in a data processing system.

Abstract: The present invention is related to systems and methods for applying two or more data decode algorithms to a processing data set.

Abstract: Various embodiments of the present invention provide systems and methods for decoding of non-binary LDPC codes. For example, a low density parity check data decoder is disclosed that includes a variable node processor operable to perform variable node updates based at least in part on check node to variable node message vectors, a check node processor operable to perform check node updates and to generate the check node to variable node message vectors, and a scheduler operable to cause the variable node processor to use check node to variable node message vectors from multiple decoding iterations when performing the variable node updates for a given decoding iteration.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. As an example, a data processing circuit is disclosed that includes a data detecting circuit having: a first vector translation circuit, a second vector translation circuit, and a data detector core circuit. The data detecting circuit is operable to receive an input data set and at least one input vector in a first format. The at least one input vector corresponds to a portion of the input data set. The first vector translation circuit is operable to translate the at least one vector to a second format. The data detector core circuit is operable to apply a data detection algorithm to the input data set and the at least one vector in the second format to yield a detected output. The second vector translation circuit operable to translate a derivative of the detected output to the first format to yield an output vector.

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 combination data decoder circuit. The combination data decoder circuit includes: a non-binary data decoder circuit and a binary data decoder circuit.

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 data encoder circuit. The data encoder circuit is operable to apply an encoding algorithm to an input data set in accordance with a multi-layer code structure including a first row and a last row to yield an encoded data set. The last row of the multi-layer code structure represented in the encoded data set conforms to an identity matrix.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. As an example, a data processing circuit is disclosed that includes: a data detector circuit, a data decoder circuit, and a power usage control circuit. The data detector circuit is operable to apply a data detection algorithm to a data input to yield a detected output. The data decoder circuit is operable to apply a data decode algorithm to a data set derived from the detected output to yield a decoded output. The power usage control circuit is operable to force a defined number of global iterations applied to the data input by the data detector circuit and the data decoder circuit regardless of convergence of the data decode algorithm.

Abstract: Various embodiments of the present invention provide systems and methods for decoding data in a non-binary LDPC decoder with targeted symbol flipping. For example, a non-binary low density parity check data decoder is disclosed that comprises a variable node processor operable to update variable node symbol values according to a plurality of elements in a non-binary Galois Field, a check node processor connected to the variable node processor and operable to perform parity check calculations, and a controller operable to perform symbol flipping and to control decoding iterations in the variable node processor and the check node processor.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. As an example, a data processing circuit is disclosed that includes a data detector circuit, a biasing circuit, and a data decoder circuit. The data detector circuit is operable to apply a data detection algorithm to a series of symbols to yield a detected output, and the detected output includes a series of soft decision data corresponding to non-binary symbols. The biasing circuit is operable apply a bias to each of the series of soft decision data to yield a series of biased soft decision data. The data decoder circuit is operable to apply a data decoding algorithm to the series of biased soft decision data corresponding to the non-binary symbols.

Abstract: Various embodiments of the present invention are related to methods and apparatuses for decoding data, and more particularly to methods and apparatuses for multi-level layered LDPC decoding. For example, in one embodiment an apparatus includes a variable node processor and a check node processor. The variable node processor is operable to generate variable node to check node messages and to calculate perceived values based on check node to variable node messages. The check node processor is operable to generate the check node to variable node messages and to calculate checksums based on variable node to check node messages. The check node processor includes a min finder circuit operable to identify a minimum, a next minimum and an index of minimum value in the variable node to check node messages. The variable node processor and check node processor are operable to perform layered multi-level decoding.

Abstract: Various embodiments of the present invention provide systems and methods for min-sum based decoding of non-binary LDPC codes. For example, a non-binary low density parity check data decoding system is discussed that includes a variable node processor and a check node processor. The variable node processor is operable to generate variable node to check node message vectors and to calculate perceived values based on check node to variable node message vectors. The check node processor is operable to generate the check node to variable node message vectors and to calculate checksums based on variable node to check node message vectors. The check node processor includes a minimum and subminimum finder circuit operable to process a plurality of sub-messages in each variable node to check node message vector. The check node processor also includes a select and combine circuit operable to combine an output of the minimum and subminimum finder circuit to generate the check node to variable node message vectors.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. As an example, a data processing circuit is disclosed that includes a data detecting circuit having: a first vector translation circuit, a second vector translation circuit, and a data detector core circuit. The data detecting circuit is operable to receive an input data set and at least one input vector in a first format. The at least one input vector corresponds to a portion of the input data set. The first vector translation circuit is operable to translate the at least one vector to a second format. The data detector core circuit is operable to apply a data detection algorithm to the input data set and the at least one vector in the second format to yield a detected output. The second vector translation circuit operable to translate a derivative of the detected output to the first format to yield an output vector.

Abstract: Various embodiments of the present invention provide systems and methods for data processing. A data processing circuit is disclosed that includes: a data detector circuit, a first symbol constrained arrangement circuit, and a second symbol constrained arrangement circuit. The data detector circuit is operable to apply a data detection algorithm to a combination of a first input data set and a decoded data set to yield a detected output that includes a number of non-binary symbols. The first symbol constrained arrangement circuit is operable to receive the detected output and to re-arrange the detected output in accordance with a first arrangement algorithm to yield a re-arranged output. The bits for at least one non-binary symbol from the detected output are maintained together in the re-arranged output.

Abstract: Various embodiments of the present invention provide systems and methods for generating a code format. One method discussed includes: Various embodiments of the present invention provide methods for generating a code format. Such methods include: receiving an indication of a low weight codeword having a trapping set; selecting an initial value for a base matrix; testing the low weight codeword after modification by the initial value to determine an updated weight of the low weight codeword; and testing the low weight codeword after modification by the initial value to determine whether the trapping set remains.