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公开(公告)号:US10924137B2
公开(公告)日:2021-02-16
申请号:US16443105
申请日:2019-06-17
Applicant: Huawei Technologies Co., Ltd.
Inventor: Frederic Gabry , Valerio Bioglio , Jean-Claude Belfiore , Ingmar Land
Abstract: A method for generating a polar code cN of length N and dimension K, on the basis of a generator matrix GN of size N×N, is provided. The method includes generating a distance spectrum vector dTp=(dTp(1), . . . , dTp(p)) of size p of the kernel Tp, wherein dTp(h), h=1, . . . , p, corresponds to a maximum value among all possible minimum distances of all possible polar codes of size p and dimension h generated on the basis of the kernel Tp. The method also includes generating a distance spectrum vector dGN of size N of the generator matrix GN on the basis of the distance spectrum vector dTp, determining the set of K information bit indices I on the basis of the distance spectrum vector dGN, and generating the polar code cN on the basis of the set of K information bit indices I.
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公开(公告)号:US11190214B2
公开(公告)日:2021-11-30
申请号:US16773544
申请日:2020-01-27
Applicant: Huawei Technologies Co., Ltd.
Inventor: Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore , Frederic Gabry
Abstract: The present disclosure relates to a device for generating a polar code xN of length N and dimension K on the basis of a transformation matrix GN of size N×N, wherein the transformation matrix GN is based on a first matrix GN, of size Nr×N, and on a second matrix GNd of size Nd×Nd, wherein N=Nr·Nd, and wherein the polar code xN is given by xN=uN·GN, wherein uN=(u0, . . . uN-1) is a vector of size N, an element ui, i=0, . . . N−1, of the vector corresponding to an information bit if i∈I, I being a set of K information bit indices, and ui=0, if i∈F, F being a set of N−K frozen bit indices.
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公开(公告)号:US10985871B2
公开(公告)日:2021-04-20
申请号:US15875766
申请日:2018-01-19
Applicant: Huawei Technologies Co., Ltd.
Inventor: Jean-Claude Belfiore , Yiqun Ge , Gaoning He , Ran Zhang , Ingmar Land , Wuxian Shi , Wen Tong
Abstract: A number K of N sub-channels that are defined by a code and that have associated reliabilities for input bits at N input bit positions, are to be selected to carry bits that are to be encoded. A localization area that includes multiple sub-channels and is located below fewer than K of the N sub-channels in a partial order of the N sub-channels is determined based on one or more coding parameters. The fewer than K sub-channels of the N sub-channels above the localization area in the partial order are selected, and a number of sub-channels from those in the localization area are also selected. The selected fewer than K sub-channels and the number of sub-channels selected from those in the localization area together include K sub-channels to carry the bits that are to be encoded.
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公开(公告)号:US20250007650A1
公开(公告)日:2025-01-02
申请号:US18884753
申请日:2024-09-13
Applicant: Huawei Technologies Co., Ltd.
Inventor: Valerio Bioglio , Ingmar Land
IPC: H04L1/00
Abstract: An apparatus for encoding an information word of size N into a codeword includes a processing unit to initialize a current vector as being the information word and run T times, T being a predetermined integer greater or equal to 1, a loop. The loop includes generating a scrambled vector by interleaving values of the current vector, grouping values of the scrambled vector into N/m input vectors of size m, and multiplying each of the input vectors by an encoding matrix of size m×m to obtain output vectors. The loop further includes setting the current vector with a concatenation of the output vectors. Moreover, the apparatus includes a transmitting unit configured to transmit the codeword through a communication channel, the codeword being the last current vector in the loop.
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公开(公告)号:US11245424B2
公开(公告)日:2022-02-08
申请号:US16797214
申请日:2020-02-21
Applicant: Huawei Technologies Co., Ltd.
Inventor: Valerio Bioglio , Ingmar Land
Abstract: A device for generating a multi-kernel polar code xN of length N and dimension K on the basis of a first transformation matrix GN of size N×N that defines a first multi-kernel polar code includes a processor configured to generate a second transformation matrix G′N of size N×N by permuting the order of at least two columns of a sub-matrix of the first transformation matrix GN, and generate the multi-kernel polar code xN an the basis of xN=uN·G′N, wherein uN=(u0, . . . , uN−1) is a vector of size N, with the elements ui, i=0, . . . N−1, corresponding to an information bit if i∈I, I being a set of K information bit indices, and ui=0, if i∈F, F being a set of N−K frozen bit indices.
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公开(公告)号:US12199635B2
公开(公告)日:2025-01-14
申请号:US18450203
申请日:2023-08-15
Applicant: HUAWEI TECHNOLOGIES CO., LTD.
Inventor: Valerio Bioglio , Charles Pillet , Ingmar Land
Abstract: The present disclosure relates generally to the field of data encoding and decoding, and particularly to automorphism-based polar encoding and decoding apparatuses and methods, as well as computer program products embodying the method steps in the form of computer codes. More specifically, polar codes are designed such that their frozen bits support automorphisms described by a binary upper triangular matrix having a diagonal including at least one of zeros and units. Codewords generated using these polar codes may be subsequently subjected to automorphism-based polar decoding in an efficient manner and with a lower decoding latency compared to the conventional Successive Cancellation List decoding algorithms. Furthermore, the efficiency of the automorphism-based polar decoding may be increased even more if the automorphisms are based on matrix elements arranged above the diagonal in a vicinity of a bottom right corner of the binary upper triangular matrix.
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公开(公告)号:US11323139B2
公开(公告)日:2022-05-03
申请号:US17201891
申请日:2021-03-15
Applicant: Huawei Technologies Co., Ltd.
Inventor: Carlo Condo , Valerio Bioglio , Ingmar Land
Abstract: A method generates a frozen vector associated with a polar code codeword on the basis of a frozen matrix associated with a product code codeword, the frozen matrix being of size Nc×Nr. The method includes replicating a first matrix row of the frozen matrix Nc times to generate an expanded matrix row; replicating a first matrix column of the frozen matrix Nr times to generate an expanded matrix column; generating the frozen vector on the basis of the expanded matrix row and the expanded matrix column. The disclosure further provides a method for generating a frozen matrix associated with a product code codeword on the basis of a frozen vector associated with a polar code codeword, wherein the product code codeword comprises a matrix of size Nc×Nr, and the frozen vector comprises a vector of size N with a plurality of bits.
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公开(公告)号:US11316614B2
公开(公告)日:2022-04-26
申请号:US16934180
申请日:2020-07-21
Applicant: HUAWEI TECHNOLOGIES CO., LTD.
Inventor: Huijian Zhang , Zhipeng Zhao , Wai Kong Raymond Leung , Marc Fossorier , Ingmar Land
Abstract: The present disclosure provides a code generator for generating an {N′, K′} code for encoding and/or decoding data transmitted in a communication channel from an {N, K} code, wherein N and N′ are code lengths, K and K′ are code dimensions. The code generator is configured to shorten the {N, K} code to obtain an intermediate code, and to extend the intermediate code to obtain the {N′, K′} code. The present disclosure also provides a corresponding code construction method. Further, the present disclosure provides a device for encoding and/or decoding data transmitted in a communication channel, the device being configured to encode and/or decode the data based on an {N′, K′} code generated from the {N, K} code.
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公开(公告)号:US10924251B2
公开(公告)日:2021-02-16
申请号:US16259722
申请日:2019-01-28
Applicant: Huawei Technologies Co., Ltd.
Inventor: Beatrice Tomasi , Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore , Gaoning He
Abstract: Encoding of information bit sequences by use of an encoding device having more than two encoding entities is provided. Decoding of output codewords by a decoding device having more than two decoding entities is further provided. The encoding and the decoding are implemented through transmitting output codewords, generated by the encoding device, to the decoding device via a channel, wherein two or more user devices transmit the respective output codewords concurrently via the channel.
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公开(公告)号:US10541710B2
公开(公告)日:2020-01-21
申请号:US16188717
申请日:2018-11-13
Applicant: Huawei Technologies Co., Ltd.
Inventor: Valerio Bioglio , Frederic Gabry , Ingmar Land , Jean-Claude Belfiore
Abstract: An encoder for encoding K information bits into a code word of length N′ on the basis of a polar code of length N is provided, wherein N is a power of 2 and greater than or equal to N′. The encoder comprises a memory storing a plurality of bit indices, which comprise a set of N frozen bit indices associated with the polar code of length N, a set of N/2 puncturing bit indices and/or a set of N/2 shortening bit indices and a processor configured to retrieve at least a subset of the plurality of bit indices from the memory, to encode the K information bits using the polar code of length N for obtaining encoded data of length N and to reduce the number of bits of the encoded data to the length N′ for obtaining the code word of length N′.
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