The partial differential equation transform – a robust method for signal, image and data analysis

نویسندگان

  • Yang Wang
  • Wei Wei
  • Siyang Yang
چکیده

A new method for analysing nonlinear and non-stationary data has recently been developed, namely the partial-differential-equation (PDE) transform. The PDE transform is based on the use of coupled arbitrarily high order PDEs to decompose signals and images into various functional frequency modes, which allow perfect reconstruction of the original signals and images. The PDE transform is compared with the Fourier transform, the wavelet transform, and empirical mode decomposition for analysis of various types of data in real time signals and images.

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تاریخ انتشار 2011