Enhanced polar code construction

A method for wireless communication, comprising:

• identifying an information bit vector for encoding using a polar code to obtain a codeword;
• identifying unpunctured bit-channels of the codeword;
• identifying a set of bit locations of the polar code used for information bits for the encoding, wherein the set of bit locations is determined based at least in part on dividing a number of the information bits into partitions allocated to first bit-channel sub-blocks for at least one stage of polarization of the polar code, wherein the partitioning is based at least in part on a mutual information transfer function of an initial capacity of the unpunctured bit-channels of the codeword, respective numbers of unpunctured bit-channels in the first bit-channel sub-blocks, and respective numbers of delta bits for the first bit-channel sub-blocks, and wherein the respective numbers of delta bits for each of the first bit-channel sub-blocks are based at least in part on a capacity backoff function;
• encoding the information bit vector mapped to the set of bit locations using the polar code to obtain the codeword;
• and
• transmitting the codeword over a wireless channel.

An apparatus for wireless communication, comprising:

• a processor;
• memory in electronic communication with the processor;
• and
• instructions stored in the memory and executable by the processor to cause the apparatus to:
• receive a signal representing a codeword over a wireless channel, the codeword being encoded using a polar code having a code length;
• identify, in the signal, unpunctured bit-channels of the codeword;
• identify a set of bit locations of the polar code used for information bits for the encoding, wherein the set of bit locations is determined based at least in part on dividing a number of the information bits into partitions allocated to first bit-channel sub-blocks for at least one stage of polarization of the polar code, wherein the partitioning is based at least in part on a mutual information transfer function of an initial capacity of the unpunctured bit-channels of the codeword, respective numbers of unpunctured bit-channels in the first bit-channel sub-blocks, and respective numbers of delta bits for the first bit-channel sub-blocks, and wherein the respective numbers of delta bits for each of the first bit-channel sub-blocks are based at least in part on a capacity backoff function;
• and
• decode the signal according to the polar code to obtain an information bit vector at the set of bit locations.

An apparatus for wireless communication, comprising:

• a processor;
• memory in electronic communication with the processor;
• and
• instructions stored in the memory and executable by the processor to cause the apparatus to:
• identify an information bit vector for encoding using a polar code to obtain a codeword;
• identify unpunctured bit-channels of the codeword;
• identify a set of bit locations of the polar code used for information bits for the encoding, wherein the set of bit locations is determined based at least in part on dividing a number of the information bits into partitions allocated to first bit-channel sub-blocks for at least one stage of polarization of the polar code, wherein the partitioning is based at least in part on a mutual information transfer function of an initial capacity of the unpunctured bit-channels of the codeword, respective numbers of unpunctured bit-channels in the first bit-channel sub-blocks, and respective numbers of delta bits for the first bit-channel sub-blocks, and wherein the respective numbers of delta bits for each of the first bit-channel sub-blocks are based at least in part on a capacity backoff function;
• encode the information bit vector mapped to the set of bit locations using the polar code to obtain the codeword;
• and
• transmit the codeword over a wireless channel.

An apparatus for wireless communication produced according to a method, the method comprising:

• providing a processor within the apparatus;
• providing a memory within the apparatus, the memory in electronic communication with the processor;
• determining a set of bit locations for information bits for a polar code having a code length based at least in part on dividing a number of the information bits into partitions allocated to first bit-channel sub-blocks for at least one stage of polarization of the polar code, wherein the partitioning is based at least in part on a mutual information transfer function of an initial capacity of unpunctured bit-channels of a codeword, respective numbers of unpunctured bit-channels in the first bit-channel sub-blocks, and respective numbers of delta bits for the first bit-channel sub-blocks, and wherein the respective numbers of delta bits for each of the first bit-channel sub-blocks are based at least in part on a capacity backoff function;
• inserting a data structure comprising the set of bit locations into the memory of the apparatus;
• and
• inserting instructions into the memory, the instructions executable by the processor to cause the apparatus to:
• receive a signal representing the codeword over a wireless channel, the codeword being encoded using the polar code;
• identify, in the signal, the unpunctured bit-channels of the codeword;
• identify the set of bit locations of the polar code used for the information bits for the encoding based at least in part on the data structure and the unpunctured bit-channels of the codeword;
• and
• decode the signal according to the polar code to obtain an information bit vector at the set of bit locations.