针对无线电监测中脉冲噪声与同频干扰并存并严重影响无线定位性能的问题，本项目将其上升为一类非平稳、非高斯信号处理理论问题，突破现行分数低阶统计量和相关熵的局限性，在信号的循环域进行以下研究：（1）提出并完善“循环相关熵”及其谱和模糊函数等概念，系统研究循环相关熵对于一类调制信号的存在性与其他性质。（2）系统研究有限接收数据下循环相关熵的估计方法，探索数据长度与估计精度之间的关系。引入压缩信号处理概念，提出循环相关熵快速算法。（3）系统对比分析循环相关熵与分数低阶统计量和相关熵等在脉冲噪声与同频干扰并存环境的信号处理与参数估计性能差异及机理。（4）将本项目基于循环相关熵及其谱和模糊函数的信号处理方法应用于TDOA和DOA估计等，提升脉冲噪声和同频干扰并存条件下无线定位技术的精度和效率。本项目对于建立基于“循环相关熵”的非平稳、非高斯信号处理理论框架，对于提升无线电监测的技术水平具有重要意义。

For the problem of impulse noise and co-channel interference in the radio monitoring, which seriously affects the performance of wireless source location, this project abstracts it into a class of non-stationary and non-Gaussian signal processing, and intends to conducts the following research works in the cyclic-domain by breaking through the limitation of the fractional lower order statistics and the correntropy: (1) To propose and complete the concepts on “the cyclic correntropy” and its spectrum and ambiguity function, and study the existence of the cyclic correntropy to a class of modulated signals and other properties; (2) To study the estimation algorithms for the cyclic correntropy under a limited receive data condition, determine the relationship between the estimation precision and data length, and find the fast algorithm for calculating the cyclic correntropy; (3) To compare and study the similarity and difference between the fractional lower order statistics and the cyclic correntropy under the condition of noise and co-channel interference; (4) To apply the theories and methods studied in this project into the practice of wireless source positioning, improving the precision and efficiency of the wireless source location under the impulse noise and co-channel interference conditions. This project is important for the establishment of the cyclic correntropy based theory frame for non-stationary and non-Gaussian signal processing, and for the improvement of the radio monitoring technology.