累量域谐波恢复方法(英文)

Cumulant-Based Approach to the Harmonic Retrieval

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。

In order for cumulant based approach to be applied to harmonic retrieval and practical dynamic data, the topics of determinate initial phase, multi harmonic and wide dynamic range are studied, some new characteristics are obtained, and the defects of harmonic retrieval and noise pre filtering algorithms are pointed out. Finally, the improved algorithm for wide dynamic range signal is given. The simulation results show that the algorithm is effective and satisfactory.