Provided is an optical transmission/reception device including an error correction decoding unit (36) for decoding a received sequence encoded with an LDPC code, in which the error correction decoding unit (36) is configured to perform decoding processing using a parity check matrix (70) of a spatially-coupled LDPC code, which includes a plurality of parity check sub-matrices (71) combined with each other, in which the decoding processing is windowed decoding processing that uses a window (80) over one or more parity check sub-matrices (71), and in which a window size of the window (80) and a decoding iteration count due to throughput and requested correction performance are variable and input from a control circuit (12) connected to the error correction decoding device (36).

A fault-tolerant analog computing device includes a crossbar array having a number l rows and a number n columns intersecting the l rows to form ln memory locations. The l rows of the crossbar array receive an input signal as a vector of length l. The n columns output an output signal as a vector of length n that is a dot product of the input signal and the matrix values defined in the ln memory locations. Each memory location is programmed with a matrix value. A first set of k columns of the n columns is programmed with continuous analog target matrix values with which the input signal is to be multiplied, where k<n. A second set of m columns of the n columns is programmed with continuous analog matrix values for detecting an error in the output signal that exceeds a threshold error value, where m<n.

A method for detecting an address error when reading a bitstream from a memory is proposed, wherein a check is carried out as to whether the bitstream in conjunction with the present read address is a code word of an error code and wherein, should the bitstream in conjunction with the present read address not be a code word of the error code, an address error is subsequently detected provided the error code does not correct an error correctable thereby. Accordingly, an apparatus, a system and a computer program product are specified.

The present invention relates to a method for adapting a link using a polar-modulation (PQAM) constellation. It applies in particular to the communications in the sub-THz band, in which the oscillator of the receiver has phase fluctuations. In a PQAM-modulation constellation, the modulation symbols are distributed on concentric circles equidistant in the complex plane, each circle including the same number of symbols, the angular distribution of the symbols on a circle being uniform and identical regardless of the circle. The adaptation of the link is carried out by taking into account the thermal noise as well as the phase noise.

The present technology relates to a transmission method and a reception device for securing favorable communication quality in data transmission using an LDPC code. In group-wise interleaving, the LDPC code with a code length N of 69120 bits is interleaved in units of 360-bit bit groups. In group-wise deinterleaving, a sequence of the LDPC code after group-wise interleaving is returned to an original sequence. The present technology can be applied, for example, in a case of performing data transmission using an LDPC code, and the like.

Methods, systems and devices for forward error correction in orthogonal time frequency space (OTFS) communication systems using non-binary low-density parity-check (NB-LDPC) codes are described. One exemplary method for forward error correction includes receiving data, encoding the data via a non-binary low density parity check (NB-LDPC) code, wherein the NB-LDPC code is characterized by a matrix with binary and non-binary entries, modulating the encoded data to generate a signal, and transmitting the signal. Another exemplary method for forward error correction includes receiving a signal, demodulating the received signal to produce data, decoding the data via a NB-LDPC code, wherein the NB-LDPC code is characterized by a matrix with binary and non-binary entries, and providing the decoded data to a data sink.

A memory controller is configured to perform first error correcting code (ECC) encoding on a plurality of first frames of data, generate a plurality of delta syndrome units corresponding, respectively, to the plurality of first frames of data, generate a delta syndrome codeword by performing second ECC encoding on the plurality of delta syndrome units, the delta syndrome codeword including one or more redundancy data units, perform third ECC encoding on at least one second frame of data such that the encoded at least one second frame of data is a first vector of bits, and determine a second vector of bits such that, adding the second vector of bits to the first vector of bits forms a combined vector of bits which is an ECC codeword having a delta syndrome a value of which is pre-fixed based on at least one of the one or more redundancy data units.

Embodiments of this application disclose provides a low density parity check (LDPC) channel encoding method for use in a wireless communications system. A communication device encodes an input bit sequence by using a LDPC matrix, to obtain an encoded bit sequence for transmission. The LDPC matrix is obtained based on a lifting factor Z and a base matrix. Embodiments of the application provide eight particular designs of the base matrix. The encoding method provided in the embodiments of the application can be used in various communications systems including the fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.

The present technology relates to a data processing device and a data processing method which can ensure high communication quality in data transmission using LDPC codes.

In group-wise interleaving, an LDPC code having a code length N of 64800 bits and a coding rate r of 13/15 is interleaved in a unit of a bit group of 360 bits. In group-wise deinterleaving, a sequence of bit groups of the LDPC code which has been subjected to the group-wise interleaving is returned to an original sequence. The present technology can be applied to, for example, a case in which data transmission is performed using LDPC codes.

Technology is described herein for a generalized low-density parity-check (GLDPC) decoder. A GLDPC decoder comprises an LDPC decoder and a syndrome decoder. The LDPC decoder is configured to generate a codeword for encoded data. The syndrome decoder is configured to decode a syndrome of punctured check nodes based on a linear block code having more than one information bit. The GLDPC decoder is configured to control the LDPC decoder to compute an initial value of the syndrome of the punctured check nodes based on an initial estimate of the codeword from the LDPC decoder. The GLDPC decoder is configured to alternate between controlling the syndrome decoder to correct the syndrome and controlling the LDPC decoder to update the codeword based on the corrected syndrome. The GLDPC decoder is configured to provide a decoded version of the encoded data based on a final estimate of the codeword.