This work shows how non-binary low-density parity-check codes over GF($2^p$)can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al.,2015), which combines forward-error correction with non-uniform signaling forpower-efficient communication. Ultra-sparse low-density parity-check codes overGF(64) and GF(256) gain 0.6 dB in power efficiency over state-of-the-art binaryLDPC codes at a spectral efficiency of 1.5 bits per channel use and ablocklength of 576 bits. The simulation results are compared to finite lengthcoding bounds and complemented by density evolution analysis.
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机译：这项工作说明了如何将GF（$ 2 ^ p $）上的非二进制低密度奇偶校验码与概率振幅整形（PAS）结合使用（B \“ ocherer等人，2015），该方法结合了前向误差非均匀信令进行功率校正，以实现节能通信。GF（64）和GF（256）上的超稀疏低密度奇偶校验码在频谱效率上比最新的二进制LDPC码高0.6 dB每个通道使用1.5位，块长度为576位，将仿真结果与有限长度编码范围进行比较，并通过密度演化分析进行补充。
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