Subspaces of FMmlet transform
邹红星, 戴琼海, 赵克, 陈桂明, 李衍达
Abstract
邹红星, 戴琼海, 赵克, 陈桂明, 李衍达
Abstract
The subspaces of FM^mlet transform are investigated. It is shown that some of the existing transforms like the Fourier transform, short-time Fourier transform, Gabor transform, wavelet transform, chirplet transform, the mean of signal, and the FM^-1let transform, and the butterfly subspace are all special cases of FM^mlet transform. Therefore the FM^mlet transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.
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The subspaces of FM^mlet transform are investigated. It is shown that some of the existing transforms like the Fourier transform, short-time Fourier transform, Gabor transform, wavelet transform, chirplet transform, the mean of signal, and the FM^-1let transform, and the butterfly subspace are all special cases of FM^mlet transform. Therefore the FM^mlet transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.
Key concepts: S transform, Fractional Fourier transform, Constant Q transform, Gabor transform, Harmonic wavelet transform, Hartley transform, Mathematics, Wavelet transform