A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 16200 and a code rate of 3/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).

A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 64800 and a code rate of 7/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).

The present technology relates to a transmission device, a transmission method, a reception device, and a reception method for securing good communication quality in data transmission using an LDPC code. LDPC coding for information bits with an information length K=N×r is performed on the basis of an extended parity check matrix having rows and columns extended by a predetermined puncture length L with respect to a parity check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 14/16, so that an extended LDPC code having parity bits with a parity length M=N+L−K is generated. A head of the information bits of the extended LDPC code is punctured by L, so that a punctured LDPC code with the code length N of 69120 bits and the coding rate r is generated. The extended parity check matrix includes an A matrix of M1 rows and K columns expressed by a predetermined value M1 and the information length K=N×r, a B matrix of M1 rows and M1 columns, a Z matrix of M1 rows and N+L−K−M1 columns, a C matrix of N+L−K−M1 rows and K+M1 columns, and a D matrix of N+L−K−M1 rows and N+L−K−M1 columns. The present technology can be applied to data transmission and the like using an LDPC code.

A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 16200 and a code rate of 3/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).

The present disclosure relates to low-density parity-check (LDPC) encoding methods and apparatus. One example method includes encoding k information bits by using a submatrix of ((n−k)/Z+j) rows and (n/Z+j) columns at an upper left corner of a check matrix H based on a first transmission code rate R satisfying R=k/(n+j×Z), obtaining a first codeword including the k information bits and (n−k+j×Z) redundant bits, and sending the first codeword to a receive end.

A system for generating a parity check matrix for low-density parity-check (LDPC) codes includes a memory and a processing circuitry that retrieves a base matrix from the memory. The base matrix represents sets of valid and invalid positions for a set of circulant matrices. The processing circuitry determines a value for each valid position based on a heuristic function. The value for each valid position indicates a corresponding circulant matrix of the set of circulant matrices. The processing circuitry replaces each valid position with the corresponding circulant matrix based on the determined value, and each invalid position with a null matrix, to generate the parity check matrix. The parity check matrix thus generated has a high girth and equal distribution of cycles within the parity check matrix.

A transmitting apparatus is provided. The transmitting apparatus includes: an encoder configured to perform a low-density parity check (LDPC) encoding on input bits using a parity check matrix to generate an LDPC codeword comprising information word bits and parity bits; an interleaver configured to interleave the LDPC codeword; and a modulator configured to map the interleaved LDPC codeword onto a modulation symbol, wherein the modulator is further configured to map a bit included in a predetermined bit group from among a plurality of bit groups constituting the LDPC codeword onto a predetermined bit of the modulation symbol.

Disclosed is an encoding method of a spatially coupled-low density parity Check (SC-LDPC) code of a terminal. The encoding method of the SC-LDPC code of the present disclosure can comprise: a step of generating a plurality of decomposition matrices by decomposing a base matrix of a preset LDPC block code. a step of generating a base matrix of the SC-LDPC code by spatially coupling the plurality of decomposition matrices in accordance with the termination length. a step of generating a circulant shift value matrix from the base matrix of the SC-LDPC code. a step of generating a plurality of lifting values for the base matrix of the SC-LDPC code. and a step for encoding an input signal by using a generator matrix defined by using of the base matrix of the SC-LDPC code, the circulant shift value matrix, and the plurality of lifting values.

For example, an Enhanced Directional Multi-Gigabit (DMG) (EDMG) wireless communication station (STA) may be configured to scramble, according to a first scrambling sequence, a plurality of EDMG Header B bits of an EDMG Header B field of an EDMG Multi-User (MU) Physical Layer (PHY) Protocol Data Unit (PPDU) into a plurality of scrambled header bits; generate a Low-Density Parity-Check (LDPC) codeword based on the plurality of scrambled header bits; determine a data block based on the LDPC codeword; generate one or more scrambled data blocks based on the data block by scrambling the data block according to a second scrambling sequence; and transmit a wireless transmission of the EDMG Header B based on the one or more scrambled data blocks.

The present technology relates to a transmission device, a transmission method, a reception device, and a reception method for securing good communication quality in data transmission using an LDPC code. LDPC coding for information bits with an information length K=N×r is performed on the basis of an extended parity check matrix having rows and columns extended by a predetermined puncture length L with respect to a parity check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 14/16, so that an extended LDPC code having parity bits with a parity length M=N+L−K is generated. A head of the information bits of the extended LDPC code is punctured by L, so that a punctured LDPC code with the code length N of 69120 bits and the coding rate r is generated. The extended parity check matrix includes an A matrix of M1 rows and K columns expressed by a predetermined value M1 and the information length K=N×r, a B matrix of M1 rows and M1 columns, a Z matrix of M1 rows and N+L−K−M1 columns, a C matrix of N+L−K−M1 rows and K+M1 columns, and a D matrix of N+L−K−M1 rows and N+L−K−M1 columns. The present technology can be applied to data transmission and the like using an LDPC code.