Method and apparatus for design of punctured polar codes

A transmitter in a wireless communication system, the transmitter comprising:

• a transceiver configured to transmit and receive signals;
• and
• a controller coupled with the transceiver and configured to:
• identify an incapable pattern based on a number of puncturing bits,
• identify a set of candidate puncturing patterns associated with the incapable pattern,
• identify a bit-channel reliability of the transmitter in the wireless communication system,
• select a puncturing pattern from the set of candidate puncturing patterns based on the identified bit-channel reliability,
• select an information set based on the identified bit-channel reliability,
• encode an information bit with the puncturing pattern and the information set, and
• transmit, to a receiver, the encoded information bit.

A first apparatus of a wireless communication system, the apparatus comprising:

• a transceiver configured to transmit and receive signals;
• and
• a controller coupled with the transceiver and configured to:
• generate an information bit,
• identify a bit-channel reliability of the apparatus in the wireless communication system,
• encode the information bit to generate a coded bit,
• puncture the coded bit with a puncturing pattern to generate a punctured bit, and
• transmit, to a second apparatus, the punctured bit,
• wherein the puncturing pattern satisfies a partial order obtained by combining a first partial order and a second partial order that is identified based on a binary representation relationship of bit-channel indices or satisfies a single partial order.