电力线通信由于具有广泛的应用前景而成为研究热点，然而各种脉冲噪声的干扰和电磁兼容性是影响电力线通信系统传输速率和质量的主要因素。本课题拟采用统计信号处理、时频分析和压缩感知理论设计脉冲噪声的检测和抑制方法。考虑到抑制脉冲噪声存在残余误差，拟从分析残余误差的概率统计分布规律出发，提出有效利用频谱资源的优化方法。具体内容包括：研究电力线通信系统中有用信号和脉冲噪声的统计数字特征和统计分布差异，依据统计信号和信号调制先验信息，设计低信噪比下有效的脉冲噪声检测和抑制方法，从理论上分析检测和抑制方法的统计性能；研究脉冲噪声抑制后残余误差的统计分布规律，建立不完备状态信息下OFDM 低压电力线通信系统资源分配优化模型，研究相应的通信理论并进行容量分析；采用凸优化及变量松弛方法，设计复杂度低、性能稳健的资源分配算法和实现方法。开展此项研究对提高电力线通信系统的传输速率和性能，加快应用有重要意义。

Power line communications has become one of the hottest research fields due to its wide application prospect, but various impulse noise interference and electromagnetic compatibility are the main factors affecting the transmission rate and quality of the power line communication system. This project will focus on the detection and mitigation of impulse noise using statistical signal processing, time-frequency analysis and compressed sensing theory. Considering residual errors from the impulse noise suppression, we will propose effective spectrum resource optimization method based on probability statistical distribution of residual error analysis. The main contents include: Investigate the statistical characteristics of transmission signal and impulse noise; Design effective impulse noise detection and suppression methods, and derive the theoretical analysis results by using the signal statistical and modulation prior information in low signal to noise ratio; Study the statistical distribution of the residual errors after impulse noise suppression, establish resource allocation mathematical models for OFDM based low-voltage power-line communication networks under incomplete state information, develop their communication theory and capacity; Design frequency resource allocation algorithm and implementation method with low complexity and stable performance using convex optimization and variable relaxation theories. This research work has important significance for improving the transmission rate and performance of power line communication system and accelerating its applications.