Information bit distribution design for polar codes

A method for wireless communication, comprising:

• determining a bit index reliability sequence for a plurality of bit channels of a polar code based on a length of a codeword, wherein an order of bit indices in the bit index reliability sequence is determined based on applying a universal partial order (UPO) to an input search sequence to obtain a partial order, applying an analytical method to obtain calculated orders of bit indices that are unordered relative to one another in the partial order, and applying a simulation to refine an order of at least two bit indices selected based on the calculated orders;
• generating the codeword according to the polar code based on the bit index reliability sequence and a plurality of information bits encoded using the polar code;
• and
• transmitting the codeword.

A method for wireless communication, comprising:

• identifying a plurality of information bits for encoding using a polar code having a plurality of bit channels;
• identifying a set of bit locations of the plurality of bit channels of the polar code for the plurality of information bits based on a bit index reliability sequence, wherein the bit index reliability sequence is determined based on a binary bit weighting for the plurality of bit channels that applies a plurality of weighting factors;
• generating a codeword according to the polar code based on the bit index reliability sequence and the plurality of information bits;
• and
• transmitting the codeword.

A memory of an apparatus, instructions stored in the memory and operable, when executed by a processor of the apparatus, to cause the apparatus to receive, over a wireless channel, a codeword that is based on a plurality of information bits encoded using a polar code having a plurality of bit channels, select a bit index reliability sequence for the plurality of bit channels based on a length of the codeword, and decode the codeword based on the bit index reliability sequence, wherein an order of bit indices in the bit index reliability sequence is determined by a process comprising:

• applying a universal partial order (UPO) to an input search sequence to obtain a partial order;
• applying an analytical method to obtain calculated orders of bit indices that are unordered relative to one another in the partial order;
• and
• applying a simulation to refine an order of at least two bit indices selected based on the calculated orders.