Mutual information based polar code construction

A method for wireless communication, comprising:

• identifying an information bit vector for encoding using a polar code;
• identifying a set of bit locations of the polar code to be used for information bits of the information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one mutual information transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• encoding the information bit vector mapped to the set of bit locations using the polar code to obtain a codeword;
• and
• transmitting the codeword over a wireless channel.

An apparatus for wireless communication, comprising:

• a memory;
• a receiver configured to receive a codeword over a wireless channel, the codeword encoded using a polar code;
• and
• a processor coupled to the memory and the receiver, the processor configured to:
• identify a set of bit locations of the polar code corresponding to information bits of an encoded information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one mutual information transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• and
• decode the received codeword to obtain the information bit vector at the set of bit locations.

An apparatus for wireless communication, comprising:

• a memory;
• a processor coupled to the memory, the processor configured to:
• identify an information bit vector for encoding using a polar code;
• identify a set of bit locations of the polar code to be used for information bits of the information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one mutual information transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• and
• encode the information bit vector mapped to the set of bit locations using the polar code to obtain a codeword;
• and
• a transmitter coupled to the processor and the memory, the transmitter configured to:
• transmit the codeword over a wireless channel.

An apparatus for wireless communication, comprising:

• means for receiving a codeword over a wireless channel, the codeword encoded using a polar code;
• means for identifying a set of bit locations of the polar code corresponding to information bits of an encoded information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• and
• means for decoding the received codeword to obtain the information bit vector at the set of bit locations.

An apparatus for wireless communication, comprising:

• means for identifying an information bit vector for encoding using a polar code;
• means for identifying a set of bit locations of the polar code to be used for information bits of the information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• means for encoding the information bit vector mapped to the set of bit locations using the polar code to obtain a codeword;
• and
• means for transmitting the codeword over a wireless channel.

A non-transitory computer readable medium storing code for wireless communication, the code comprising instructions executable by a processor to:

• receive a codeword over a wireless channel, the codeword encoded using a polar code;
• identify a set of bit locations of the polar code corresponding to information bits of an encoded information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• and
• decode the received codeword to obtain the information bit vector at the set of bit locations.

A non-transitory computer readable medium storing code for wireless communication, the code comprising instructions executable by a processor to:

• identify an information bit vector for encoding using a polar code;
• identify a set of bit locations of the polar code to be used for information bits of the information bit vector, wherein the set of bit locations is determined based at least in part on a reliability order of the bit locations of the polar code, and wherein the reliability order is determined based at least in part on a recursive model that includes at least one transfer function that is applied at each polarization stage of a plurality of polarization stages of the polar code;
• encode the information bit vector mapped to the set of bit locations using the polar code to obtain a codeword;
• and
• transmit the codeword over a wireless channel.