论文标题
基于相互渠道近似的新的极地代码设计
A New Polar Code Design Based on Reciprocal Channel Approximation
论文作者
论文摘要
本文在接收器上应用连续的取消（SC）解码时，对二进制输入添加剂白色高斯噪声（BI-AWGN）通道进行了极地代码设计。我们专注于互惠通道近似（RCA），该通道通常在低密度平价检查（LDPC）代码的设计中采用。为了将RCA应用于各种代码长的长度，我们得出了严格的封闭形式近似值，这些近似值在AWGN通道上在广泛的SNR上是有效的，无论是BPSK信号的共同信息还是相应的相互通道映射。因此，评估通道极化所需的计算复杂性等效于基于流行的高斯近似（GA）方法。仿真结果表明，基于RCA的拟议的极性代码设计胜过基于GA的那些以及所谓的改进的GA（IGA）方法，尤其是随着CodeWord长度的增加。此外，与基于GA的方法相比，基于RCA的设计可产生更好的块错误率（BLER）估计。
This paper revisits polar code design for a binary-input additive white Gaussian noise (BI-AWGN) channel when successive cancellation (SC) decoding is applied at the receiver. We focus on the reciprocal channel approximation (RCA), which is often adopted in the design of low-density parity-check (LDPC) codes. In order to apply RCA to polar code design for various codeword lengths, we derive rigorous closed-form approximations that are valid over a wide range of SNR over an AWGN channel, for both the mutual information of BPSK signaling and the corresponding reciprocal channel mapping. As a result, the computational complexity required for evaluating channel polarization is thus equivalent to that based on the popular Gaussian approximation (GA) approach. Simulation results show that the proposed polar code design based on RCA outperforms those based on GA as well as the so-called improved GA (IGA) approach, especially as the codeword length is increased. Furthermore, the RCA-based design yields a better block error rate (BLER) estimate compared to GA-based approaches.
