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累量域谐波恢复算法 ,通常假定谐波初相在 [-π,π]区间上均匀分布 ,而且大量的仿真实验沿用相关域的分析方法 ,假定谐波数目为二 ,其振幅几乎相等 .本文在对实际信号模型分析的基础上 ,从理论上得出了初相确定、谐波数目较多和信号动态范围比较大时累量自身及累量域参数估计方法的一些特点 ,指出了现有谐波恢复和基于三阶累量的噪声预滤波算法在理论和实际信号处理中的缺陷 ,并对大动态范围信号谐波恢复算法作了改进 ,使其理论更加完善、改进算法稳健性增强
Cumulant-based harmonic recovery algorithms generally assume that the primary phase of harmonics is uniformly distributed over [-π, π] intervals, and a large number of simulation experiments follow the analysis of the relevant domain, assuming that the number of harmonics is two and the amplitudes are almost equal. Based on the analysis of the actual signal model, this paper theoretically obtained some characteristics of the method of estimating the parameters of the cumulant itself and the cumulant region when the initial phase is determined, the number of harmonics is large, and the signal dynamic range is relatively large. Harmonic recovery and noise pre-filtering algorithm based on the third-order cumulants in the theoretical and practical signal processing, and improved the algorithm of large dynamic range signal harmonic recovery to make its theory more perfect and improve the robustness of the algorithm