Example systems, read channel circuits, data storage devices, and methods to provide signal correction based on soft information in a read channel are described. The read channel circuit includes a soft output detector, such as a soft output Viterbi algorithm (SOVA) detector, and a signal correction circuit. The soft output detector passes detected data bits and corresponding soft information to the signal correction circuit. The signal correction circuit uses the soft information to determine a signal correction value, which is combined with input signal to return a corrected signal to the soft output detector for a next iteration. In some configurations, the signal correction value may compensate for DC offset, AC coupling poles, and/or signal asymmetries to reduce baseline wander in the read channel.

A flash memory system may include a flash memory and a circuit for decoding a result of a read operation on the flash memory using a first codeword. The circuit may be configured to generate an estimated codeword based on a result of hard decoding the first codeword and a result of hard decoding a second codeword. The circuit may be further configured to generate soft information based on the hard decoding result of the first codeword and the estimated codeword. The circuit may be further configured to decode the result of the read operation on the flash memory using the soft information.

A coding method for data communication is provided, and may be applied to a plurality of scenarios such as a metro network, a backbone network, and a data center interconnection. The method includes: forming a first codeword, where the first codeword includes n image bits and n to-be-transmitted bits, the n image bits are selected from to-be-transmitted bits in m source codewords, the source codeword is a codeword formed before the first codeword, both n and m are positive integers, and n>m; and sending the n to-be-transmitted bits in the first codeword. The bit in the first codeword is protected by a plurality of codewords generated at different moments, and a coding gain effect is better. In addition, the bit in the codeword is protected by different quantities of codewords.

Methods, systems, and media for decoding data are described. A sequence of read-level voltages for decoding operations may be determined based on a trend of decoding success indicators, including a first decoding success indicator and a second decoding success indicator. The first decoding success indicator is obtained from a more recent successful decoding operation. The first one of the sequence may be set to a read-level voltage of the first decoding success indicator. If the read-level voltage of the first decoding success indicator is less than a read-level voltage of the second decoding success indicator, then the trend is decreasing, and the second one of the sequence may be set to a read-level voltage less than that of the first one of the sequence. After executing one or more decoding operations, the decoding success indicators may be updated based on the read-level voltage of the current successful decoding operation.

Provided is a memory system comprising an error correction code (ECC) decoder configured to receive data from a memory. The ECC decoder includes a syndrome generator configured to calculate at least one of syndrome vector and an erasure value, the calculation being devoid of erasure location information and an error-location polynomial generator configured to determine error location and error/erasure value polynomials responsive to syndrome and erasure calculation values output from the syndrome generator. An error value generator confirms error values at one or more known error locations based upon the determined error/erasure value polynomials, and an error location generator search for an error evaluation value to confirm the known error locations based upon the determined error location polynomials. Outputs of the error value generator and the error location generator are combined to produce corrected data.

A method, of decoding error correction code of a memory device with dynamic bit error estimation, can include generating at least one metric corresponding to one or more syndromes associated with a code word, the code word comprising an error correction code of a memory device, decoding the code word by a first decoder integrated with the memory device, in response to a determination that the metric satisfies a threshold associated with the syndromes, the first decoder having a first execution property, and decoding the code word by a second decoder integrated with the memory device, in response to a determination that the metric does not satisfy the threshold associated with the syndromes, the second decoder having a second execution property distinct from the first execution property, or in response to a determination that the metric satisfies the threshold associated with the syndromes, and in response to a determination to perform further decoding.

Systems and methods are provided for decoding data read from non-volatile storage devices. A method may comprise receiving a chunk of data read from a physical location of a non-volatile storage device and searching a memory for soft information associated with the physical location using a unique identifier associated with the physical location. The soft information may be generated from one or more previous decoding processes on previous data from the physical location. The method may further comprise retrieving the soft information identified by the unique identifier associated with the physical location from the memory, decoding the chunk of data with the soft information indicating reliability of bits in the chunk of data and updating the soft information with decoding information generated during the decoding.

A decoding system, a decoding controller, and a decoding control method are provided. In the decoding system, a decoding controller is disposed between two adjacent decoders. The decoding controller determines whether to perform turn-off based on a non-turn-off indication received by a previous-stage decoder, a turn-off indication output by the previous-stage decoder, and historical turn-off probability statistics. This is equivalent to adding a buffer zone between the two adjacent decoders.

A storage circuit is configured to store multiple vectors associated with variable and check nodes of an iterative decoding operation. As part of the iterative decoding operation, a processor circuit is configured to retrieve, from the storage circuit, an intermediate value vector, a first estimation vector, a second estimation vector, and a sign vector, and determine an absolute value of the intermediate value vector. The processor circuit is also configured, using the retrieved vectors, to generate updated values for the first and second estimation vectors as part of determining a bit estimate for a check node included in the iterative decoding operation.

A data processing device includes a plurality of variable nodes configured to receive and store a plurality of target bits; a plurality of check nodes each configured to receive stored target bits from one or more corresponding variable nodes of the plurality of variable nodes, check whether received target bits have an error bit, and transmit a check result to the corresponding variable nodes; and a group state value manager configured to determine group state values of variable node groups into which the plurality of variable nodes are grouped.