A cyclo-stationary characteristic of a communications channel and/or storage media is determined. The cyclo-stationary characteristic has K-cycles, K > 1. Markov transition probabilities are determined that depend on a discrete phase ϕ=t mod K, wherein t is a discrete time value. An encoder to optimize the Markov transition probabilities for encoding data sent through the communications channel and/or stored on the storage media. The optimized Markov transition probabilities are used to decode the data from the communication channel and/or read from the storage media.

A cyclo-stationary characteristic of a communications channel and/or storage media is determined. The cyclo-stationary characteristic has K-cycles, K > 1. Markov transition probabilities are determined that depend on a discrete phase ϕ=t mod K, wherein t is a discrete time value. An encoder to optimize the Markov transition probabilities for encoding data sent through the communications channel and/or stored on the storage media. The optimized Markov transition probabilities are used to decode the data from the communication channel and/or read from the storage media.

A controller including a non-volatile memory interface circuit connected to at least one non-volatile memory device and configured to control the at least one non-volatile memory device; an error correction circuit configured to perform an error correction operation on a codeword received from the non-volatile memory interface circuit according to an error correction decoding level from among a plurality of error correction decoding levels, wherein the non-volatile memory interface circuit is further configured to: receive side information from the at least one non-volatile memory device; predict a distribution of memory cells based on the side information; and select the error correction decoding level from among the plurality of error correction decoding levels according to the predicted distribution.

A controller including a non-volatile memory interface circuit connected to at least one non-volatile memory device and configured to control the at least one non-volatile memory device; an error correction circuit configured to perform an error correction operation on a codeword received from the non-volatile memory interface circuit according to an error correction decoding level from among a plurality of error correction decoding levels, wherein the non-volatile memory interface circuit is further configured to: receive side information from the at least one non-volatile memory device; predict a distribution of memory cells based on the side information; and select the error correction decoding level from among the plurality of error correction decoding levels according to the predicted distribution.

The present application concerns an iterative bit-flipping decoding method using symbol or bit reliabilities, which is a variation of GRAND decoding and is denoted by ordered reliability bits GRAND (ORBGRAND). It comprises receiving a plurality of demodulated symbols from a noisy transmission channel; and receiving for the plurality of demodulated symbols, information indicating a ranked order of reliability of at least the most unreliable information contained within the plurality of demodulated symbols. A sequence of putative noise patterns from a most likely pattern of noise affecting the plurality of symbols through one or more successively less likely noise patterns is provided. Responsive to the information contained within the plurality of symbols not corresponding with an element of a code-book comprising a set of valid codewords, a first in the sequence of putative noise patterns is used to invert the most unreliable information of the information contained within the plurality of symbols to obtain a potential codeword, and responsive to the potential codeword not corresponding with an element of the code-book, repeatedly: a next likely noise pattern from the sequence of putative noise patterns is applied to invert a noise effect on the received plurality of demodulated symbols to provide a potential codeword, each successive noise pattern indicating an inversion of information for one or more demodulated symbols for a next more reliable combination of information contained within the plurality of symbols, until the potential codeword corresponds with an element of the code-book.

This application discloses decoding methods, apparatuses, and computer-readable storage media, which may be applied to a plurality of scenarios such as a metropolitan area network, a backbone network, and data center interconnection. An example method includes: obtaining syndromes corresponding to a plurality of codewords; grouping the syndromes into groups; and sorting priorities of each group of syndromes; and selecting, based on a priority sorting result of each group of syndromes, a syndrome for decoding.

The present disclosure generally relates to improving data transfer in a data storage device. In double data rate (DDR) systems that include a data bus inversion (DBI) functionality, bit flip events can be more prevalent. To mitigate the effect of enhanced erroneous bit flip rate related to DBI bit flip events, the DBI bit can stay static for a predetermined number of consecutive clock cycles, the error correction module can be informed of reduced reliability due to active DBI bit events, the DBI bit can be set to 0, or combinations thereof. Setting the DBI bit to 0 effectively cancels DBI functionality. Informing the error correction module permits a more robust error correction to occur. Forcing the DBI bit to remain static reduces the probability of an unrecognized bit flip event of a full byte. In so doing, data transfer reliability is improved when using DBI functionality.

The present disclosure generally relates to improving data transfer in a data storage device. In double data rate (DDR) systems that include a data bus inversion (DBI) functionality, bit flip events can be more prevalent. To mitigate the effect of enhanced erroneous bit flip rate related to DBI bit flip events, the DBI bit can stay static for a predetermined number of consecutive clock cycles, the error correction module can be informed of reduced reliability due to active DBI bit events, the DBI bit can be set to 0, or combinations thereof. Setting the DBI bit to 0 effectively cancels DBI functionality. Informing the error correction module permits a more robust error correction to occur. Forcing the DBI bit to remain static reduces the probability of an unrecognized bit flip event of a full byte. In so doing, data transfer reliability is improved when using DBI functionality.

The present disclosure includes apparatuses and methods for determining soft data. A number of embodiments include determining soft data associated with a data state of a memory cell. In a number of embodiments, the soft data may be determined by performing a single stepped sense operation on the memory cell.

The present disclosure includes apparatuses and methods for determining soft data. A number of embodiments include determining soft data associated with a data state of a memory cell. In a number of embodiments, the soft data may be determined by performing a single stepped sense operation on the memory cell.