2002Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

Subspaces of FMmlet transform

邹红星, 戴琼海, 赵克, 陈桂明, 李衍达

Open publisher page 0 citations

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.

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: S transform, Fractional Fourier transform, Constant Q transform, Gabor transform, Harmonic wavelet transform, Hartley transform, Mathematics, Wavelet transform

Related papers

Back to paper searchBrowse research topicsOriginal source
Subspaces of FMmlet transform — Research Paper | ScholarLens