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研究了FMmlet变换的子空间 ,结果表明 ,Fourier变换、短时Fourier变换、Ga bor变换、小波变换、chirplet变换、FM-1let变换、蝴蝶子空间和信号的均值等均是FMmlet变换的子空间 .因此 ,FMmlet变换能更好地刻画信号中的线性和非线性时变结构成分 .
The subspace of FMmlet transform is studied. The results show that the Fourier transform, short-time Fourier transform, Ga bor transform, wavelet transform, chirplet transform, FM-1let transform, butterfly subspace and signal mean are subspaces of FMmlet transform. Therefore, the FMmlet transform can better characterize linear and nonlinear time-varying structural components in the signal.