On the Design of Parity-Check Polar Codes

In this paper, a bnew design of a pre-coded polar code, named parity-check systematic pre-coding (PCSP) polar code is studied. The parity-check polar codes outperform the CRC-concatenated polar codes in general, as they are eligible for a generalized concatenated coding design. During the successive cancellation decoding, the scattered parity bits perform single-parity-check protection. Since the conventional scheme neglects some weaknesses originating from the parity-check pre-coding structure, we propose a new bit-classification strategy for the PCSP polar codes. The simulation results demonstrate that the proposed design consistently outperforms the conventional one for various coding parameters.