Huawei Technologies Co., Limited

Ran Zhang

Yiqun Ge

Wuxian Shi

Nan Cheng

Wen Tong

Louis-Philippe Hamelin

Ingmar Land

Hamid Saber

Gaoning He

Jean-Claude Belfiore

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.

Method to generate ordered sequence for polar codes

A first error-detecting code (EDC) is computed based on a first segment of a block of information that is to be encoded, and a second EDC is computed based on at least a second segment of the block of information. The first EDC is masked with a first masking segment and the second EDC with a second masking segment to generate a first masked EDC and a second masked EDC. The first masking segment and the second masking segment are associated with a target receiver of the block of information. A codeword is generated based on a code and an input vector that includes the first segment, the first masked EDC, the second segment, and the second masked EDC. This type of coding could be useful to support early termination of blind detection at a decoder, for example.

Apparatus and methods for error detection coding

Coding sub-channel selection involves, in an embodiment, determining, from sub-channels that are defined by a code and that have associated reliabilities for input bits at input bit positions, a first number of the sub-channels to carry bits that are to be encoded. A second number of the sub-channels, greater than the first number, are selected. The second number of sub-channels are selected to provide exactly the first number sub-channels to be available to carry the bits that are to be encoded.

Methods and apparatus for coding sub-channel selection

An ordered number sequence may be determined based on an ordered sub-channel sequence specifying an order of N sub-channels that are defined by a code and that have associated reliabilities for input bits at N input bit positions. The ordered number sequence represents the ordered sub-channel sequence as a sequence of fewer than N numbers. The numbers in the ordered number sequence indicate the sub-channels, by representing numbers of the sub-channels for example, from different subsets of the N sub-channels, that appear in the order specified by the ordered sub-channel sequence. Using ordered number sequences, longer ordered sub-channel sequences could be constructed from smaller ordered sub-channel sequences, and/or sub-channels that to be selected from a longer ordered sub-channel sequence could be divided into two or more parts, with each part to be selected from shorter ordered sub-channel sequences.

Apparatus and methods of specifying ordered sequences of coding sub-channels

Systems and methods are disclosed for performing rate matching when using general polar codes. In one embodiment, a method of generating a codeword includes receiving bits at a polar encoder and encoding the bits using polar encoder kernels. The polar encoder kernels include a first kernel and a second kernel. The first kernel receives a set of input q-ary symbols and modifies the set of input q-ary symbols according to a first kernel generator matrix to produce a set of output q-ary symbols. The second kernel receives a set of input l-ary symbols, where l does not equal q, and modifies the set of input l-ary symbols according to a second kernel generator matrix to produce a set of output l-ary symbols. For example, the first kernel may be a binary kernel and the second kernel may be a Reed-Solomon (RS) based kernel.

Systems and methods for rate matching via a heterogeneous kernel when using general polar codes

Systems and methods are disclosed that relate to performing rate matching when using polar codes. In one embodiment, a plurality of bits are received at a polar encoder. A value is obtained that corresponds to at least one of: a coding rate to be used to transmit the plurality of bits, and a number of coded bits to be used to transmit the plurality of bits. It is determined which range of values the value falls within, and an information sequence is obtained that corresponds to the range the value falls within. The plurality of bits are mapped to a subset of positions of an input vector according to the information sequence. The remaining positions of the input vector are set as frozen values that are known by a decoder. The input vector is then encoded in the polar encoder to generate a codeword.

Systems and methods for piece-wise rate matching when using polar codes

In a layered coding approach, a code configuration parameter of a polar code is determined, and encoding graph parameters are determined based on the determined code configuration parameter. The encoding graph parameters identify inputs for one or more kernel operations in each of multiple encoding layers. Information symbols are encoded by applying the one or more kernel operations to the inputs identified in each encoding layer in accordance with the determined encoding graph parameters.

Methods and apparatus for encoding and decoding based on layered polar code

The present disclosure relates to multiple-symbol combination based decoding for general polar codes. Multiple-symbol combination based decoding of a received word that is based on a codeword involves determining whether all nodes at an intermediate stage of the multiple-symbol combination based decoding, which provide their outputs as inputs to a subset of nodes at a next stage of the multi-symbol combination based decoding, are associated with trust symbols in the received word that have a higher reliability of being successfully decoded than doubt symbols in the received word. A hard decision is performed in response to a positive determination.

Multiple-symbol combination based decoding for general polar codes

General polar codes are disclosed that encode symbols of a q-ary alphabet, where q&#x2265;2. Systems and methods are also disclosed for performing code rate matching when using general polar codes. In one embodiment, a method performed at a transmitter includes receiving a plurality of bits at a polar encoder. The plurality of bits represent a plurality of q-ary symbols, where q&#x3e;2. The method further includes encoding the plurality of bits using the polar encoder to generate a codeword of q-ary symbols represented by bits. The method further includes puncturing the codeword according to a puncturing pattern to obtain a punctured codeword having a reduced bit length.

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Kanata, Canada

Ran Zhang