A decoding apparatus includes input circuitry configured to receive coded data; and decoding circuitry configured to decode the coded data to obtain decoded data. The coded data are generated by using an encoding process at an encoding apparatus. The encoding process includes: (i) repeatedly collecting first data blocks included in the decoded data to generate at least one second data block; (ii) dividing at least one third data block included in the decoded data into fourth data blocks; (iii) allocating fifth data blocks included in the decoded data to respective sixth data blocks without collecting the first data blocks or dividing the at least one third data block; and (iv) performing an error correcting encoding on the at least one second data block, the fourth data blocks, and the sixth data blocks in accordance with a coding rate selected from a plurality of coding rates to generate parity data.

An apparatus and method for generating a broadcast signal frame corresponding to a time interleaver supporting a plurality of operation modes are disclosed. An apparatus for generating broadcast signal frame according to an embodiment of the present invention includes a combiner configured to generate a multiplexed signal by combining a core layer signal and an enhanced layer signal at different power levels; a power normalizer configured to reduce the power of the multiplexed signal to a power level corresponding to the core layer signal; a time interleaver configured to generate a time-interleaved signal by performing interleaving that is applied to both the core layer signal and the enhanced layer signal; and a frame builder configured to generate a broadcast signal frame including a preamble for signaling time interleaver information corresponding to the time interleaver, the time interleaver uses one of time interleaver groups, and the time interleaver performs the interleaving by using one of a plurality of operation modes.

Disclosed are systems, methods, and software for generating spatially-coupled low-density parity-check (SC-LDPC) codes. A method for generating SC-LDPC codes includes generating one or more quasi-cyclic low-density parity-check (QC-LDPC) codes, and also includes assigning at least one of the generated one or more QC-LDPC codes as one or more template codes. The method further includes copying at least a portion of the one or more template codes to introduce irregularity. The method also includes shifting one or more template codes on a sub-block basis to generate at least one SC-LDPC code. As compared to known LDPC code generation modalities, the disclosed invention provides a simplified technique for implementation in streamlined hardware which has more general applicability across both present, and anticipated, communication systems, including those adapted for use with optical communications, wireless communications, and 5G as well as future 6G.

A method for verifying data integrity in a receiver in a wireless communication network is disclosed. The method includes receiving a data message, wherein the data message includes a group of data elements and a checksum, computing a complete syndrome vector based on partial syndrome vectors, wherein the partial syndrome vectors are computed, in parallel, by multiplying part of a parity-check matrix with corresponding part of the received data message, determining that all vector elements of the complete syndrome vector are zero, and verifying that the received data message is correct when all the vector elements of the complete syndrome vector are zero, and incorrect otherwise. Corresponding computer program product, apparatus, and receiver are also disclosed.

This invention provides a cyclically-coupled (CC-) quasi-cyclic (QC-) low-density parity-check (LDPC) code and its decoder architecture. The essence of the invention is to introduce the convolutional nature to a plurality of individual block codes internally so as to form a resultant block code with a prolonged code length while slightly increasing the hardware complexity in decoder realization. The CC-QC-LDPC code is formed by cyclically coupling a plurality of sub-codes each being a QC-LDPC code such that overlapping of some variable nodes between two consecutive sub-codes results. The decoder comprises plural sub-decoders each configured to decode the channel messages for one sub-code. The sub-decoders are arranged in a ring shape such that an individual sub-decoder is configured to communicate edge messages with two neighboring sub-decoders adjacent to said individual sub-decoder in the decoding of the channel messages. The sub-decoders are configured to operate concurrently for simultaneously decoding individual sub-codes.

In an illustrative example, an apparatus includes a controller and a memory that is configured to store a codeword of a convolutional low-density parity-check (CLDPC) code. The codeword has a first size and includes multiple portions that are independently decodable and that have a second size. The controller includes a CLDPC encoder configured to encode the codeword and a CLDPC decoder configured to decode the codeword or a portion of the codeword.

In transmitter apparatus for a digital television broadcasting system, internet-protocol (IP) packets of digital television information are subjected to multilevel coding (MLC) before being Gray-mapped to quadrature-amplitude-modulation (QAM) constellations. The constituent codes of the MLC comprise respective low-density parity-check (LDPC) inner coding. Preferably, the LDPC inner coding is LDPC convolutional coding. The QAM constellations are used in coded orthogonal frequency-division modulation (COFDM) of plural carrier waves up-converted to a radio-frequency broadcast television channel. In receiver apparatus for the digital television broadcasting system the results of de-mapping QAM constellations recovered from demodulating the COFDM carrier waves are de-interleaved, and the LDPC constituent codes of the MLC are independently decoded in parallel with decoding results time-interleaved to recover the IP packets of digital television information.

In an illustrative example, a method includes sensing at least a portion of a representation of a convolutional low-density parity-check (CLDPC) codeword stored at a memory of a data storage device. The method further includes receiving the portion of the representation of the CLDPC codeword at a controller of the data storage device. The method further includes performing one or more management operations associated with the memory based on an estimated number of errors of the portion of the representation of the CLDPC codeword.

An encoder and decoder using LDPC-CC which avoid lowering the transmission efficiency of information while not deteriorating error correction performance, even at termination; and an encoding method of the same. A termination sequence length determining unit determines the sequence length of a termination sequence transmitted added to the end of an information sequence, according to the information length (information size) and encoding rate of the information sequence. A parity calculation unit carries out LDPC-CC coding on the information sequence and the known-information sequence necessary for generating a termination sequence of the determined termination sequence length, and calculates a parity sequence.

Techniques are disclosed for reducing overhead during hybrid automatic repeat request (HARQ) operations performed by a user equipment (UE) during wireless communication. The UE receives a message over the wireless network and obtains a parity check matrix (PCM) associated with a received message. Rows of the PCM are assigned to respective groups of a plurality of groups, where the respective groups have corresponding one or more parity checks as determined by the PCM. The UE generates a feedback message including a plurality of bits, wherein an individual bit of the plurality of bits indicates whether a corresponding respective group of the plurality of groups include one or more unsatisfied parity checks. The UE then transmits the feedback message to a base station of the wireless network.