A memory device to estimate signal and noise characteristics of a group of memory cells in response to a command identifying the group of memory cells. For example, the memory device measures first signal and noise characteristics of the group of memory cells based on first test voltages, compute using the first signal and noise characteristics an optimized read voltage of the group of memory cells, and estimate, using the first signal and noise characteristics, second signal and noise characteristics of the group of memory cells, where the second signal and noise characteristics are based on second test voltages that are centered at the optimized read voltage of the group of memory cells.

Methods and apparatuses for generating optimized LDPC codes are proposed. One of the methods is a method for generating an optimized LDPC code for an asymmetric transmis¬ sion channel. The method includes receiving an initial LDPC code for the asymmetric transmission channel. Further, the method includes performing a density evolution threshold optimization for the initial LDPC code in order to obtain the optimized LDPC code for the asymmetric transmission channel. A uniformly mixed symmetric channel density for the asymmetric transmission channel is used in the density evolution threshold optimization.

A decoder that is a decoding apparatus includes an error-correction decoder that executes error correction decoding processing of iteratively performing decoding processing with a window size and the number of decoding iterations indicated by decoding parameters, on received data converted into a spatially coupled low-density parity-check code, and a decoding parameter control unit that updates the decoding parameters on the basis of a decoding result obtained by the iteratively executed decoding processing.

A memory controller includes an interface and a processor. The interface communicates with a plurality of memory cells, and an individual one of the plurality of memory cells stores data in multiple predefined programming levels. The processor is configured to read an Error Correction Code (ECC) code word from a group of memory cells, via the interface, using multiple read thresholds positioned between adjacent programming levels, for producing multiple readouts that contain respective numbers of errors, to derive from the code word a reference readout that contains no errors, or contains a number of errors smaller than in the code word, to calculate multiple distances between the reference readout and the respective readouts, and set a preferred read threshold based on the calculated distances, and to perform subsequent read operations for retrieving data from the plurality of memory cells, using the preferred read threshold.

A memory device to estimate signal and noise characteristics of a group of memory cells in response to a command identifying the group of memory cells. For example, the memory device measures first signal and noise characteristics of the group of memory cells based on first test voltages, compute using the first signal and noise characteristics an optimized read voltage of the group of memory cells, and estimate, using the first signal and noise characteristics, second signal and noise characteristics of the group of memory cells, where the second signal and noise characteristics are based on second test voltages that are centered at the optimized read voltage of the group of memory cells.

Embodiments of the invention provide an elementary check node processing unit (300) implemented in a check node processing unit of a non-binary error correcting code decoder, the elementary check node processing unit (300) being linked to a variable node processing unit (305) and being configured to receive a first message and a second message, each message comprising at least two components. The elementary check node processing unit (300) comprises a calculation unit (301) which determines two or more auxiliary components from the components comprised in the first message and from the components comprised in the second message, an auxiliary component comprising an auxiliary reliability metrics. The calculation unit (301) also determines, in association with each of the two or more auxiliary components, decoding performance values. The elementary check node processing unit (300) also comprises a selection unit (303) which selects, among the two or more auxiliary components, the auxiliary component that is associated with the optimal decoding performance values and determines an offset value from the auxiliary reliability metrics comprised in the selected auxiliary component. The elementary check node processing unit (300) then transmits the offset value and a selected set of auxiliary components among the two or more auxiliary components to the variable node processing unit (305).

Aspects described herein relate to configuring a search space size for a demodulator to use in generating log likelihood ratios (LLRs) in demodulating received signals. In an aspect, an indication of a search space size for a demodulator to use in generating LLRs can be received from a base station, and a demodulation of one or more signals received in wireless communication can be performed by a node using the demodulator and based on the search space size. In another aspect, a search space size for the demodulator of the node to use in generating log likelihood ratios (LLRs) can be determined based on one or more signals transmitted by the node, and an indication of a search space size can be transmitted to the node.

There is provided a method comprising, at a data receiver, receiving a channel codeword from a data sender over a noisy data channel, generating a plurality of candidate error patterns, the plurality of candidate error patterns comprising a plurality of one-bit error patterns and a plurality of multiple-bit error patterns generated from the plurality of one-bit error patterns, evaluating the plurality of candidate error patterns for codebook membership, based on the channel codeword, and outputting an estimated codeword when a codebook membership constraint is satisfied for a given candidate error pattern.

Aspects described herein relate to configuring a search space size for a demodulator to use in generating log likelihood ratios (LLRs) in demodulating received signals. In an aspect, an indication of a search space size for a demodulator to use in generating LLRs can be received from a base station, and a demodulation of one or more signals received in wireless communication can be performed by a node using the demodulator and based on the search space size. In another aspect, a search space size for the demodulator of the node to use in generating log likelihood ratios (LLRs) can be determined based on one or more signals transmitted by the node, and an indication of a search space size can be transmitted to the node.

Methods and apparatuses for generating optimized LDPC codes are proposed. One of the methods is a method for generating an optimized LDPC code for an asymmetric transmission channel. The method includes receiving an initial LDPC code for the asymmetric transmission channel. Further, the method includes performing a density evolution threshold optimization for the initial LDPC code in order to obtain the optimized LDPC code for the asymmetric transmission channel. A uniformly mixed symmetric channel density for the asymmetric transmission channel is used in the density evolution threshold optimization.