摘要:
A systematic polar encoder with data checks includes a data mapper receiving input data containing information to be polar coded for transmission and generating modified data, and a nonsystematic polar encoder implementing a transform matrix encoding the modified data to produce a codeword x such that, for some sub-sequence of coordinates S, xS=d. For nonsystematic encoding, a transform input u includes first and second parts for words independent of the data, the second part for an inverse puncture word, a third part carrying the modified data, and a non-null part carrying a check word derived from the modified data. A transform output includes a punctured part for a puncture word, a part carrying the data, and a part serving as redundant symbols, with the codeword x related to the transform output by x=zQ where Q is the complement of the punctured part P.
摘要:
A systematic polar encoder with data checks includes a data mapper receiving input data containing information to be polar coded for transmission and generating modified data, and a nonsystematic polar encoder implementing a transform matrix encoding the modified data to produce a codeword x such that, for some sub-sequence of coordinates S, xS=d. For nonsystematic encoding, a transform input u includes first and second parts for words independent of the data, the second part for an inverse puncture word, a third part carrying the modified data, and a non-null part carrying a check word derived from the modified data. A transform output includes a punctured part for a puncture word, a part carrying the data, and a part serving as redundant symbols, with the codeword x related to the transform output by x=zQ where Q is the complement of the punctured part P.
摘要:
A systematic encoder such as a systematic polar encoder for channel encoding to ameliorate the effects of noise in a transmission channel. The codeword carries a data word to be transmitted transparently, and also carries a parity part derived from the data word and a fixed word. Implementations advantageously reduce coding complexity to the order of N log(N), wherein N is the dimension of a matrix of the nth Kronecker power associated with a matrix effectively employed by the encoder.
摘要:
A systematic encoder such as a systematic polar encoder for channel encoding to ameliorate the effects of noise in a transmission channel. The codeword carries a data word to be transmitted transparently, and also carries a parity part derived from the data word and a fixed word. Implementations advantageously reduce coding complexity to the order of N log(N), wherein N is the dimension of a matrix of the nth Kronecker power associated with a matrix effectively employed by the encoder.
摘要:
A split decoder apparatus in a communication system provides reliable transfer of a transmitted message from a source to a destination. A channel encoder encodes the transmitted message into a transmitted codeword from a channel code and transmits the transmitted codeword over a channel. The channel produces a channel output in response to the transmitted codeword. In the split decoder apparatus, a decode client receives the channel output and generates a compressed error information, and a decode server receives the compressed error information and generates a compressed error estimate. The decode client receives the compressed error estimate and generates a message estimate. Communication complexity between the decode client and the decode server is reduced. The split decoder apparatus optionally generates a no-errors signal from the channel output, where the decode server is not activated if the no-errors signal indicates that the hard decisions correspond to a valid transmitted codeword.
摘要:
A systematic encoder such as a systematic polar encoder for channel encoding to ameliorate the effects of noise in a transmission channel. The codeword carries a data word to be transmitted transparently, and also carries a parity part derived from the data word and a fixed word. Implementations advantageously reduce coding complexity to the order of Nlog(N), wherein is the dimension of a matrix of the nth Kronecker power associated with a matrix effectively employed by the encoder.
摘要:
A hybrid automatic repeat request (HARQ) transmitter in a communications system employing a HARQ process, wherein a primary codeword from an arbitrary forward error correction (FEC) code is sent over a communications channel and negatively acknowledged by a HARQ receiver, includes a polar code retransmission apparatus. A primary codeword buffer stores the primary codeword, and a systematic incremental redundancy (IR) encoder receives a first segment of the primary codeword and encodes the first segment into a first IR codeword. The first segment of the primary codeword excludes at least one symbol of the primary codeword, and the systematic IR encoder comprises a systematic polar encoder. Primary codeword segments, received in response to decoding errors, are encoded into IR codewords, with a kth segment xSk of the primary codeword is excluded from retransmission of the kth IR codeword and the IR codewords may be permuted before transmission.
摘要:
A systematic encoder such as a systematic polar encoder for channel encoding to ameliorate the effects of noise in a transmission channel. The codeword carries a data word to be transmitted transparently, and also carries a parity part derived from the data word and a fixed word. Implementations advantageously reduce coding complexity to the order of Nlog(N), wherein N is the dimension of a matrix of the nth Kronecker power associated with a matrix effectively employed by the encoder.