Abstract: A method and apparatus for decoding quasi-cyclic LDPC codes using a vertical layered iterative message passing algorithm. The algorithm of the method improves the efficiency of the check node update by using one or more additional magnitudes, predicted with predictive magnitude maps, for the computation of messages and update of the check node states. The method allows reducing the computational complexity, as well as the storage requirements, of the processing units in the check node update. Several embodiments for the apparatus are presented, using one or more predictive magnitude maps, targeting significant savings in resource usage and power consumption, while minimizing the impact on the error correction performance loss.

Abstract: This invention presents a method and the corresponding hardware apparatus for decoding LDPC codes using a vertical layered (VL) iterative message passing algorithm. The invention operates on quasi-cyclic LDPC (QC-LDPC) codes, for which the non-zero circulant permutation matrices (CPMs) are placed at specific locations in the parity-check matrix of the codes, forming concentrated clusters of CPMs. The purpose of the invention is to take advantage of the organization of CPMs in clusters in order to derive a specific hardware architecture, consuming less power than the classical VL decoders. This is achieved by minimizing the number of read and write accesses to the main memories of the design.

Abstract: This invention presents a method and apparatus for vertical layered finite alphabet iterative decoding of low-density parity-check codes (LDPC) which operate on parity check matrices that consist of blocks of sub-matrices. The iterative decoding involves passing messages between variable nodes and check nodes of the Tanner graph that associated with one or more sub-matrices constitute decoding blocks, and the messages belong to a finite alphabet. Various embodiments for the method and apparatus of the invention are presented that can achieve very high throughputs with low hardware resource usage and power.

Abstract: A method and apparatus for decoding quasi-cyclic LDPC codes using a vertical layered iterative message passing algorithm. The algorithm of the method improves the efficiency of the check node update by using one or more additional magnitudes, predicted with predictive magnitude maps, for the computation of messages and update of the check node states. The method allows reducing the computational complexity, as well as the storage requirements, of the processing units in the check node update. Several embodiments for the apparatus are presented, using one or more predictive magnitude maps, targeting significant savings in resource usage and power consumption, while minimizing the impact on the error correction performance loss.

Abstract: This invention presents a method and the corresponding hardware apparatus for decoding LDPC codes using a vertical layered (VL) iterative message passing algorithm. The invention operates on quasi-cyclic LDPC (QC-LDPC) codes, for which the non-zero circulant permutation matrices (CPMs) are placed at specific locations in the parity-check matrix of the codes, forming concentrated clusters of CPMs. The purpose of the invention is to take advantage of the organization of CPMs in clusters in order to derive a specific hardware architecture, consuming less power than the classical VL decoders. This is achieved by minimizing the number of read and write accesses to the main memories of the design.

Abstract: This invention presents a method and the corresponding hardware apparatus for decoding LDPC codes using a vertical layered (VL) iterative message passing algorithm. The invention operates on quasi-cyclic LDPC (QC-LDPC) codes, for which the non-zero circulant permutation matrices (CPMs) are placed at specific locations in the parity-check matrix of the codes, forming concentrated clusters of CPMs. The purpose of the invention is to take advantage of the organization of CPMs in clusters in order to derive a specific hardware architecture, consuming less power than the classical VL decoders. This is achieved by minimizing the number of read and write accesses to the main memories of the design.

Abstract: A method and apparatus for encoding low-density parity check codes uses parity check matrices composed of circulant blocks. The apparatus operates on a parity check matrix of a judiciously designed block structure, which permits low cost hardware implementation, and high encoding throughput.

Abstract: A polar code decoding method in which a first decoding attempt by successive cancellation is performed and in the case where the decoded frame is erroneous, an ordered list of bit positions to be tested in the frame is generated, the order relation being given by a metric of first error, the value of this metric depending on the reliability of the decision about the bit as well as on the reliability of the decisions about the bits preceding it in the frame. For each of the positions of the list, an inversion of the bit and a decoding of the subsequent bits are undertaken, doing so as long as the list has not been exhausted or the frame has not been decoded without error. In case of failure, a new decoding attempt based on a double-inversion of bits can be envisaged.

Abstract: This invention presents a method and apparatus for vertical layered finite alphabet iterative decoding of low-density parity-check codes (LDPC) which operate on parity check matrices that consist of blocks of sub-matrices. The iterative decoding involves passing messages between variable nodes and check nodes of the Tanner graph that associated with one or more sub-matrices constitute decoding blocks, and the messages belong to a finite alphabet. Various embodiments for the method and apparatus of the invention are presented that can achieve very high throughputs with low hardware resource usage and power.

Abstract: An in-between layer partial syndrome stopping (IBL-PS) criterion for a layered LDPC decoder. The IBL-PS syndrome is obtained by applying the parity checks (Hr,r+1) of a couple of a first layer (r) and a second layer (r+1) on the variables after the first layer has been processed and before the second layer is processed by the decoder, the decoding being stopped if said in-between layer syndrome (sr,r+1) is satisfied for at least a couple of consecutive layers.

Abstract: This disclosure presents a method and the corresponding hardware apparatus for encoding low-density parity check codes whose parity check matrices are composed of circulant blocks. The encoder operates on a parity check matrix of a judiciously designed block structure, which permits low cost hardware implementation, and high encoding throughput.

Abstract: This invention presents a method and apparatus for vertical layered finite alphabet iterative decoding of low-density parity-check codes (LDPC) which operate on parity check matrices that consist of blocks of sub-matrices. The iterative decoding involves passing messages between variable nodes and check nodes of the Tanner graph that associated with one or more sub-matrices constitute decoding blocks, and the messages belong to a finite alphabet. Various embodiments for the method and apparatus of the invention are presented that can achieve very high throughputs with low hardware resource usage and power.

Abstract: A polar code decoding method in which a first decoding attempt by successive cancellation is performed and in the case where the decoded frame is erroneous, an ordered list of bit positions to be tested in the frame is generated, the order relation being given by a metric of first error, the value of this metric depending on the reliability of the decision about the bit as well as on the reliability of the decisions about the bits preceding it in the frame. For each of the positions of the list, an inversion of the bit and a decoding of the subsequent bits are undertaken, doing so as long as the list has not been exhausted or the frame has not been decoded without error. In case of failure, a new decoding attempt based on a double-inversion of bits can be envisaged.

Abstract: This invention presents a method and apparatus for vertical layered finite alphabet iterative decoding of low-density parity-check codes (LDPC) which operate on parity check matrices that consist of blocks of sub-matrices. The iterative decoding involves passing messages between variable nodes and check nodes of the Tanner graph that associated with one or more sub-matrices constitute decoding blocks, and the messages belong to a finite alphabet. Various embodiments for the method and apparatus of the invention are presented that can achieve very high throughputs with low hardware resource usage and power.

Abstract: An in-between layer partial syndrome stopping (IBL-PS) criterion for a layered LDPC decoder. The IBL-PS syndrome is obtained by applying the parity checks (Hr,r+1) of a couple of a first layer (r) and a second layer (r+1) on the variables after the first layer has been processed and before the second layer is processed by the decoder, the decoding being stopped if said in-between layer syndrome (sr,r+1) is satisfied for at least a couple of consecutive layers.

Abstract: An extension to the enhanced serial generalized bit-flipping decoding algorithm (ES-GBFDA) of non-binary LDPC codes by introducing soft information in the check node operation. The application not only considers the most reliable symbol in the syndrome computation, but also takes at least the second most reliable symbol of each incoming message into account. An extended information set is available for the parity-check node update and this allows introducing the concept of weak and strong votes performed by the check node unit. Each variable node can receive two kinds of votes, whose amplitudes can be tuned to the reliability of the syndrome that produces the vote.

Abstract: Building and using sub-sets of configurations sets are provided to compute the check-nodes update by using a particular representation of the input messages, called here-after trellis-EMS (T-EMS). In a main aspect, the system provides a decoding method to compute dc output vectors of a non-binary parity-check (NBPC) equation decoding unit used for LDPC check codes defined in a NB space.

Abstract: An encoder and a decoder employ an encoding scheme corresponding to a parity check matrix which is derivable from a bipartite protograph formed of variable nodes and check nodes, with each variable node corresponding to a codeword symbol position. The protograph has a plurality of groups of nodes, each group of nodes comprising both variable nodes and check nodes. Each of the check nodes in a group is of degree 2 and has connections to two variable nodes in the same group. The protograph also has a plurality of check nodes of degree n, where n is the number of said plurality of groups, wherein each of the plurality of check nodes has a connection to a variable node in each group such that the symbol positions in a codeword are interleaved between the groups of nodes.

Abstract: A string of K initial symbols is encoded with a code of the parity check type. The K initial symbols belong to a Galois field of order q strictly greater than 2. The code is defined by code characteristics representable by a graph (GRH) comprising N?K first nodes (NCi), each node satisfying a parity check equation defined on the Galois field of order q, N packets of intermediate nodes (NITi) and NI second nodes (NSSi), each intermediate node being linked to a single first node and to several second nodes by way of a connection scheme. The string of K initial symbols is encoded by using the said code characteristics and a string of N encoded symbols is obtained, respectively subdivided into NI sub-symbols belonging respectively to mathematical sets whose orders are less than q, according to a subdivision scheme representative of the connection scheme (?).

Abstract: Building and using sub-sets of configurations sets are provided to compute the check-nodes update by using a particular representation of the input messages, called here-after trellis-EMS (T-EMS). In a main aspect, the system provides a decoding method to compute dc output vectors of a non-binary parity-check (NBPC) equation decoding unit used for LDPC check codes defined in a NB space.