In this Letter, a new criterion based on frozen BER (FBER) is proposed to early stop belief propagation (BP) decoding of polar codes. The authors first verify that the behaviour of FBER along with the iteration is almost the same as the information BER. Based on this phenomenon, the authors propose a new criterion by detecting the status of FBER to determine whether the BP decoding is successful or not. To reduce the complexity, only a part of frozen bits transmitted in most reliable frozen sub-channels are considered. Simulation results show that the proposed criterion is more hardware friendly than the existing criteria.
A parallel concatenated coding structure, which can improve the performance of polar codes in finite-length regime, is proposed. In the proposed structure, the encoder is built using two systematic polar codes (SPCs), and the decoder adopts iterative belief propagation decoding algorithm. Numerical results in the binary-input additive white Gaussian noise channel indicate that the proposed coding scheme can improve BER performance of polar codes significantly. Specially, BER of the proposed coding scheme with length 192 is almost equal to that of original SPCs with length 256, when the code rate is 1/3.
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