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First and Second-Order Semi-Hidden Fritchman Markov models for a multi-carrier based indoor narrowband power line communication system

机译：基于多载波的室内窄带电力线通信系统的一阶和二阶半隐式Fritchman Markov模型

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摘要

The realization of a Semi-Hidden Fritchman Markov models (SHFMMs) for power line communication (PLC) channel is only practicable if combined with efficient algorithms for learning and inference. This article thus reports First and Second-Order SHFMMs for the bit error pattern at the output of an Orthogonal Frequency Division Multiplexing based system for in-home narrowband PLC applications. Accurate SHFMMs have been derived for a residential and laboratory environment using the efficient iterative Baum–Welch algorithm. The log-likelihood ratio plots, the error-free run distribution plots, the mean square error and Chi-Square(χ2)test validates the accuracy of the derived models. The reliability and accuracy of resulting models are confirmed by a close match between the measured bit error sequences and the model generated bit error sequences. The estimated Second-Order SHFMMs have been validated to be superior to the First-Order models, although at the expense of more computational complexity. Resulting models assist designers to speed up and facilitate the process of designing and evaluating novelties for PLC systems.
机译：只有结合有效的学习和推理算法，才能实现用于电力线通信（PLC）通道的半隐藏Fritchman Markov模型（SHFMM）。因此，本文报告了针对家用窄带PLC应用的基于正交频分复用的系统输出处的误码模式的一阶和二阶SHFMM。使用高效的迭代Baum-Welch算法，已为住宅和实验室环境获得了准确的SHFMM。对数似然比图，无误差运行分布图，均方误差和卡方（χ2）检验验证了所导出模型的准确性。通过测量的误码序列与模型生成的误码序列之间的紧密匹配，可以确定所得模型的可靠性和准确性。尽管以更大的计算复杂性为代价，但估计的二阶SHFMM已被证明优于一阶模型。生成的模型可帮助设计人员加快和促进PLC系统新颖性的设计和评估过程。

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