Probabilistic shaping for retransmissions

An apparatus for wireless communication, comprising:

• a memory;
• and
• at least one processor coupled to the memory and configured to:
• receive a first message including information bits and a first set of error correction bits associated with the information bits;
• receive at least a second message associated with the first message, wherein the second message includes a second set of error correction bits associated with the information bits and a set of probabilistic shaping bits for the second set of error correction bits;
• and
• perform a decoding operation based on the first message, the second message, and a parity check matrix to recover the information bits, wherein the information bits, the first set of error correction bits, the second set of error correction bits, and the set of probabilistic shaping bits are associated with one or more different submatrices of the parity check matrix.

An apparatus for wireless communication, comprising:

• a memory;
• and
• at least one processor coupled to the memory and configured to:
• transmit a message including information bits and a set of error correction bits associated with the information bits;
• and
• transmit one or more subsequent messages associated with the message, wherein each of the one or more subsequent messages includes a different set of error correction bits associated with the information bits and a different set of probabilistic shaping bits, wherein the different set of probabilistic shaping bits enables transmission of the one or more subsequent messages based on modulation constellation symbols with a non-uniform probability distribution;
• wherein the information bits, the different set of error correction bits, and the different set of probabilistic shaping bits are associated with one or more different submatrices of a parity check matrix, and wherein the message, the one or more subsequent messages, and the parity check matrix enable a decoding operation to recover the information bits.

An apparatus for wireless communication, comprising:

• a memory;
• and
• at least one processor coupled to the memory and configured to:
• receive a message including information bits and a set of error correction bits associated with the information bits;
• receive one or more subsequent messages associated with the message, wherein each of the one or more subsequent messages includes a different set of error correction bits associated with the information bits and a different set of probabilistic shaping bits, wherein the different set of probabilistic shaping bits enables reception of the one or more subsequent messages based on modulation constellation symbols with a non-uniform probability distribution;
• and
• perform a decoding operation based on the message, the one or more subsequent messages, and a parity check matrix to recover the information bits, wherein the information bits, the different set of error correction bits, and the different set of probabilistic shaping bits are associated with one or more different submatrices of the parity check matrix.