中文摘要：

提出一种基于时频原子方法的间谐波分析方法。将信号分解成一系列时频原子，其中每个原子都来自于冗余的时频原子库，选择的原子可以最好地匹配信号结构。将分解后原子的Wigner-Ville分布相加得到时频能量分布图，相对于Wigner-Ville分布及Cohen类分布，该时频能量分布图不含有交叉项，其时频图更清晰。分别在有噪声干扰和无噪声干扰的情况下对时变的间谐波信号进行分析，均可有效提取出各次谐波和间谐波的时频信息，为间谐波分析提供了新的途径。

英文摘要：

A new method to analyze inter-harmonics by time-frequency atom is proposed. In this method, a signal is decomposed into a series of time-frequency atoms and each atom is selected from a redundant time-frequency atom dictionary, the selected atom can best match to signal structure. Adding the Wigner-Ville distribution of the decomposed atoms, the time-frequency energy distribution map is obtained. Different from Wigner-Ville distribution and Cohen＇s class distributions, this time-frequency energy distribution map does not contain interference terms, thus its time-frequency map is clearer. The time-varying inter-harmonic signals are analyzed by the proposed method under noisy and noise-free conditions respectively. Analysis results show that using the proposed method the time-frequency information of harmonic and inter-harmonic can be effectively extracted.