It has been recognized that the impulsive noise (IN) generated by power devices poses significant challenges to wireless receivers. In this paper, we comprehensively assess the achievable information rate (AIR) for the well-established Markov-Middleton IN model with a phase-shift keying (PSK) input sequence across various channel conditions, including matched and mismatched decoding scenarios. Upon determining information-theoretic bounds, we propose an optimal turbo-differentially encoded (DE)-PSK-IN receiver design based on a commonly used commercial transmission setup consisting of a convolutional encoder, bit-level interleaver, and a DE-PSK symbol mapper. We show that by incorporating the differential decoder into the maximum a-posteriori-based (MAP) IN detector, we can significantly enhance the receiver performance with a 4.5 dB gain compared to the conventional MAP-based turbo-PSK-IN receiver and a gap of around 1 dB to the theoretical bounds. We also propose a suboptimal separate receiver design that can be implemented with half the complexity of the joint design and near-optimal performance. We have evaluated the performance of the proposed receiver designs through extensive simulations, demonstrating their effectiveness in real-world scenarios with limited interleaver depth and mismatched state implementation.

翻译：人们已认识到电力设备产生的脉冲噪声(IN)给无线接收机带来了重大挑战。本文全面评估了在匹配与非匹配译码场景等多种信道条件下，采用相移键控(PSK)输入序列的经典Markov-Middleton IN模型可达到的信息率(AIR)。在确定信息论界的基础上，我们提出了一种基于通用商业传输架构（包含卷积编码器、比特级交织器和DE-PSK符号映射器）的最优turbo差分编码(DE)-PSK-IN接收机设计方案。研究表明，通过将差分译码器集成至基于最大后验概率(MAP)的IN检测器中，接收机性能可获得显著提升：相较于传统基于MAP的turbo-PSK-IN接收机实现4.5 dB增益，与理论界的差距缩小至约1 dB。我们还提出了一种次优分离式接收机设计方案，其复杂度仅为联合设计方案的一半且具有接近最优的性能。通过大量仿真实验评估了所提接收机设计的性能，验证了其在交织深度有限和状态实现失配的实际场景中的有效性。