Abstract:
The present invention related to a 5G or pre-5G communication system to be provided to support a higher data transmission rate since 4G communication systems like LTE. The present invention relates to a method and an apparatus for encoding a channel in a communication or broadcasting system supporting parity-check matrices having various sizes are provided. The method for encoding a channel includes determining a block size of the parity-check matrix; reading a sequence for generating the parity-check matrix, and transforming the sequence by applying a previously defined operation to the sequence based on the determined block size.
Abstract:
A coded signal is received via a physical channel. The coded signal is encoded by a parity check matrix. In some examples, the coded signal is low density parity check-encoded. The coded signal is decoded to determine a result signal. Said decoding alternatingly updates, for each one of a number of iterations, bit node (502) values representing bits of the result signal and check node (501) values representing constrains (505) of the parity check matrix. In some examples, the decoding determines the result signal at a first precision and updates at least partly at a second precision which is lower than the first precision. In further examples, the number of iterations is dynamically adjusted.
Abstract:
A class of product-matrix regenerating codes for fault- tolerance protection in a distributed storage system is provided, designed for enhanced network bandwidth and computational performance. The codes are based on the Cauchy matrix and their equivalent systematic codes are sparse, allowing throughputs compatible with current practical deployments of erasure codes while presenting significant improvement in network bandwidth (network related repair cost). Methods and apparatuses for encoding, regenerating and decoding data are also provided utilizing the codes.
Abstract:
A transceiver architectures can contain an encoder and a decoder for communicating high speed transmissions. The encoder can modulate signal data based on an FEC code that has a symbol size that is not matched to a symbol size of a hexacode. Any code where the symbol size is less than the sample size for coding can be serially concatenated. During decoding the multi-level decoding leech lattice and FEC decoder can iteratively pass their outputs back and forth to each other until the encoded bits are decoded.
Abstract:
Disclosed herein is a method of generating a coded data packet in dependence on a plurality of source data packets, the method comprising: determining a plurality of data packets, for generating a coded data packet, from a plurality of source data packets for encoding, wherein each of the plurality of source data packets for encoding comprises the same number of bits; generating a multiplied data packet in dependence on one or more multiplication operations between a multiplication value and bits of one of the determined data packets; and generating a coded data packet in dependence on a combination of the multiplied data packet and one or more of the other of said plurality of determined data packets that have not been multiplied; wherein the one or more multiplication operations are performed as operations in the finite field GF (p); p is greater than 2; the multiplication value is an element of the finite field GF (p); the multiplication value is not 0 or 1; and the combination of data packets is performed by bitwise XOR operations. Advantageously, the coding scheme can be almost as computationally efficient as GF (2) and the likelihood of obtained coded data packets being linearly independent is greatly increased.
Abstract:
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.
Abstract:
A transmitting apparatus is provided. The transmitting apparatus includes: an encoder configured to generate a low-density parity check (LDPC) codeword by LDPC encoding of input bits based on a parity check matrix including information word bits and parity bits, the LDPC codeword including a plurality of bit groups each including a plurality of 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 interleaver is further configured to interleave the LDPC codeword such that a bit included in a predetermined bit group from among the plurality of bit groups constituting the LDPC codeword onto a predetermined bit of the modulation symbol.