Polar coded probabilistic amplitude shaping for short packets
Tobias Prinz, Peihong Yuan, Georg Böcherer, Fabian Steiner, Onurcan İşcan, Ronald Böhnke, Wen Tao Xu · 2017
Polar codes with dynamically frozen bits are combined with probabilistic amplitude shaping (PAS). At the transmitter, constant composition distribution matching (CCDM) is used to match uniformly distributed input bits to symbols having a desired amplitude distribution. At the receiver, a type check exploits the constant composition properties of CCDM in successive cancellation list (SCL) decoding. For 64 amplitude shift keying (ASK) symbols and a spectral efficiency of 1.5 bits per ASK symbol, polar coded PAS with outer cyclic redundancy check (CRC) codes and SCL decoding with type check outperforms PAS with state-of-the-art LDPC codes by 2dB and performs within 0.8dB of Shannon's sphere packing bound (SPB).