A hard decoder includes an input data handler that receives and rearranges a low-density parity-check (LDPC) codeword, and a variable node updater that iteratively updates the rearranged LDPC codeword to generate an updated LDPC codeword during each decoding iteration of the rearranged LDPC codeword. The hard decoder further includes a syndrome generator that generates a syndrome vector associated with the updated LDPC codeword of each decoding iteration. During each decoding iteration, the rearranged LDPC codeword is updated based on a threshold value and the syndrome vector associated with the updated LDPC codeword of a previous decoding iteration and a validity of the updated LDPC codeword of the previous decoding iteration. The hard decoder further includes an output data handler that extracts a message from the updated LDPC codeword that is valid and outputs the extracted message.

Systems and methods are provided for performing error recovery using LLRs generated from multi-read operations. A method may comprise selecting a set of decoding factors for a multi-read operation to read a non-volatile storage device multiple times. The set of decoding factors may include a total number of reads, an aggregation mode for aggregating read results of multiple reads, and whether the read results include soft data. The method may further comprise issuing a command to the non-volatile storage device to read user data according to the set of decoding factors, generating a plurality of Log-Likelihood Ratio (LLR) values using a mapping engine from a pre-selected set of LLR value magnitudes based on the set of decoding factors, obtaining an aggregated read result in accordance with the aggregation mode and obtaining an LLR value from the plurality of LLR values using the aggregated read result as an index.

The present disclosure generally relates partial speed changes to improve in-order data transfer. Rather than determining an ECC decoder on a first available decoder basis, the ECC decoder may be based on the ECC decoder level. A memory device will have at least one FMU that has a syndrome weight (SW). The disclosure proposes assigning FMU's based on the SW rate. At the time the command is read, the data storage device determines which level of decoder will be assigned to the FMU. The determination will then be checked according to different system environment parameters to maintain performance or reduce power consumption. The arrangement allows a more flexible system design that can adapt according to the current system status.

Disclosed are devices, systems and methods for providing hardware implementations of a quasi-cyclic syndrome decoder. An example method of reducing the complexity of a decoder includes receiving a noisy codeword that is a based on a transmitted codeword generated from a quasi-cyclic linear code; computing a plurality of syndromes based on the noisy codeword; selecting a first syndrome from the plurality of syndromes; generating a memory cell address as a function of the first syndrome; reading, based on the memory cell address, a coset leader corresponding to the first syndrome; and determining, based on the noisy codeword and the coset leader, a candidate version of the transmitted codeword.

Disclosed are devices, systems and methods for providing hardware implementations of a quasi-cyclic syndrome decoder. An example method of reducing the complexity of a decoder includes receiving a noisy codeword that is a based on a transmitted codeword generated from a quasi-cyclic linear code; computing a plurality of syndromes based on the noisy codeword; selecting a first syndrome from the plurality of syndromes; generating a memory cell address as a function of the first syndrome; reading, based on the memory cell address, a coset leader corresponding to the first syndrome; and determining, based on the noisy codeword and the coset leader, a candidate version of the transmitted codeword.

The present technique relates to a transmission apparatus, a transmission method, a reception apparatus, and a reception method that can ensure favorable communication quality in data transmission using an LDPC code. LDPC coding is performed based on a check matrix of an LDPC code with a code length N of 69120 bits and a code rate r of 11/16 or 12/16. The LDPC code includes information bits and parity bits, and the check matrix includes an information matrix corresponding to the information bits and a parity matrix corresponding to the parity bits. The information matrix is represented by a check matrix initial value table. The check matrix initial value table is a table indicating positions of elements of 1 in the information matrix on the basis of 360 columns and is a predetermined table. The present technique can be applied to, for example, data transmission using the LDPC code.

Processors are arranged in a pipeline structure to operate on multiple layers of data, each layer comprising multiple groups of data. An input to a memory is coupled to an output of the last processor in the pipeline, and the memory's output is coupled to an input of the first processor in the pipeline. Multiplexing and de-multiplexing operations are performed in the pipeline. For each group in each layer, a stored result read from the memory is applied to the first processor in the pipeline structure. A calculated result of the stored result is output at the last processor and stored in the memory. Once processing for the last group of data in a first layer is completed, the corresponding processor is configured to process data in a next layer before the pipeline finishes processing the first layer. The stored result obtained from the next layer comprises a calculated result produced from a layer previous to the first layer.

An integrated circuit includes a digital-to-analog converter (DAC) core including a plurality of thermometric arms and an R-2R ladder, the DAC core to convert a DAC code to an analog signal. The integrated circuit includes additional components as well. A differential non-linearity (DNL) calibration circuit outputs DNL coefficients based on the DAC code. A memory stores a value indicative of a product of a resistor temperature coefficient (TC) and a resistor self-heating coefficient (SHC). A current DAC (IDAC) couples to the R-2R ladder. A self-heating calibration circuit generates a self-heating trim code based on the value from the memory. An adder adds a value indicative of the DNL coefficients with the self-heating trim code to generate an IDAC trim code and provides the IDAC trim code to the IDAC to trim the R-2R ladder.

An integrated circuit includes a digital-to-analog converter (DAC) core including a plurality of thermometric arms and an R-2R ladder, the DAC core to convert a DAC code to an analog signal. The integrated circuit includes additional components as well. A differential non-linearity (DNL) calibration circuit outputs DNL coefficients based on the DAC code. A memory stores a value indicative of a product of a resistor temperature coefficient (TC) and a resistor self-heating coefficient (SHC). A current DAC (IDAC) couples to the R-2R ladder. A self-heating calibration circuit generates a self-heating trim code based on the value from the memory. An adder adds a value indicative of the DNL coefficients with the self-heating trim code to generate an IDAC trim code and provides the IDAC trim code to the IDAC to trim the R-2R ladder.

The present disclosure generally relates partial speed changes to improve in-order data transfer. Rather than determining an ECC decoder on a first available decoder basis, the ECC decoder may be based on the ECC decoder level. A memory device will have at least one FMU that has a syndrome weight (SW). The disclosure proposes assigning FMU's based on the SW rate. At the time the command is read, the data storage device determines which level of decoder will be assigned to the FMU. The determination will then be checked according to different system environment parameters to maintain performance or reduce power consumption. The arrangement allows a more flexible system design that can adapt according to the current system status.