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Subspaces of FMmlet transform

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Abstract

The subspaces of FMmlet 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 FMmlet transform. Therefore the FMmlet transform is more flexible for delineating both the linear and nonlinear time-varying structures of a signal.

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Authors and Affiliations

  1. Department of Automation, Tsinghua University, 100084, Beijing, China

    Zou Hongxing, Dai Qionghai & Li Yanda

  2. The Second Artillery Institute of Engineering, 710025, Xi’an, China

    Zhao Ke & Chen Guiming

Authors
  1. Zou Hongxing
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  2. Dai Qionghai
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  3. Zhao Ke
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  4. Chen Guiming
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  5. Li Yanda
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Correspondence to Zou Hongxing.

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Zou, H., Dai, Q., Zhao, K. et al. Subspaces of FMmlet transform. Sci China Ser F 45, 152–160 (2002). https://doi.org/10.1360/02yf9013

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  • DOI: https://doi.org/10.1360/02yf9013

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