In this paper, an algorithm named the sparse Wigner‐Ville distribution (WVD) is applied for the time‐frequency analysis of signals. In this algorithm, the sampling for ambiguity function (AF) is regarded as a sparsity measurement of the WVD, and the Fourier transform matrix is treated as a sparsity redundant dictionary. The effectiveness of the algorithm is verified by using the liner frequency modulation and sinusoidal frequency modulation signals. Then the algorithm is employed to deal with the time‐frequency analysis of helicopters. The experiment results show that the time‐frequency images of helicopters obtained by utilizing this algorithm exhibit higher resolution without cross‐interference terms compared with that by WVD.

中文翻译：

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具有高分辨率时频能量分布的直升机稀疏恢复方法的实现

本文将一种称为稀疏Wigner-Ville分布（WVD）的算法用于信号的时频分析。在该算法中，模糊度函数（AF）的采样被视为WVD的稀疏度度量，而傅立叶变换矩阵被视为稀疏度冗余字典。通过使用线性频率调制和正弦频率调制信号验证了算法的有效性。然后将该算法用于直升机的时频分析。实验结果表明，与WVD相比，利用该算法获得的直升机时频图像具有更高的分辨率，且没有交叉干扰项。