Non-binary polar codes for probabilistic amplitude shaping

A method of wireless communication by a wireless communication device, comprising:

• performing a first non-binary polar transformation encoding operation on a first symbol vector, including a set of data symbols, that generates a second symbol vector including a set of transformed data symbols, the set of data symbols being associated with first locations associated with the first non-binary polar transformation encoding operation;
• performing a non-binary polar transformation decoding operation on the second symbol vector, in accordance with a set of probability values associated with a set of amplitude shaping target values, that generates a third symbol vector including a first set of shaping symbols;
• performing a second non-binary polar transformation encoding operation on the third symbol vector that generates a fourth symbol vector including a second set of shaping symbols, the second set of shaping symbols being associated with second locations associated with the second non-binary polar transformation encoding operation;
• and
• transmitting a signal that is modulated in accordance with a fifth symbol vector including a set of shaped symbols associated with a combination of the second symbol vector and the fourth symbol vector.

A non-transitory computer-readable medium storing a set of instructions for wireless communication, the set of instructions comprising:

• one or more instructions that, when executed by one or more processors of a wireless communication device, cause the wireless communication device to:
• perform a first non-binary polar transformation encoding operation on a first symbol vector, including a set of data symbols, that generates a second symbol vector including a set of transformed data symbols, the set of data symbols being associated with first locations associated with the first non-binary polar transformation encoding operation;
• perform a non-binary polar transformation decoding operation on the second symbol vector, in accordance with a set of probability values associated with a set of amplitude shaping target values, that generates a third symbol vector including a first set of shaping symbols;
• perform a second non-binary polar transformation encoding operation on the third symbol vector that generates a fourth symbol vector including a second set of shaping symbols, the second set of shaping symbols being associated with second locations associated with the second non-binary polar transformation encoding operation;
• and
• transmit a signal that is modulated in accordance with a fifth symbol vector including a set of shaped symbols associated with a combination of the second symbol vector and the fourth symbol vector.

An apparatus for wireless communication, comprising:

• means for performing a first non-binary polar transformation encoding operation on a first symbol vector, including a set of data symbols, that generates a second symbol vector including a set of transformed data symbols, the set of data symbols being associated with first locations associated with the first non-binary polar transformation encoding operation;
• means for performing a non-binary polar transformation decoding operation on the second symbol vector, in accordance with a set of probability values associated with a set of amplitude shaping target values, that generates a third symbol vector including a first set of shaping symbols;
• means for performing a second non-binary polar transformation encoding operation on the third symbol vector that generates a fourth symbol vector including a second set of shaping symbols, the second set of shaping symbols being associated with second locations associated with the second non-binary polar transformation encoding operation;
• and
• means for transmitting a signal that is modulated in accordance with a fifth symbol vector including a set of shaped symbols associated with a combination of the second symbol vector and the fourth symbol vector.