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2002•Science in China Series F Information SciencesRequires access

Subspaces of FMmlet transform

Hongxing Zou, Qionghai Dai, Ke Zhao, Guiming Chen, Yanda Li

Open publisher page 10 citations

Abstract

The subspaces of FM m let 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 −1 let transform, and the butterfly subspace are all special cases of FM m let transform. Therefore the FM m let transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.

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What this paper is about

The subspaces of FM m let 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 −1 let transform, and the butterfly subspace are all special cases of FM m let transform. Therefore the FM m let transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.

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Available abstract

The subspaces of FM m let 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 −1 let transform, and the butterfly subspace are all special cases of FM m let transform. Therefore the FM m let 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, Hartley transform, Harmonic wavelet transform, Wavelet transform, Linear subspace

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