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Constructions of ϵ-mono-components and mathematical analysis on signal decomposition algorithm

Author

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  • Huang, Chao
  • Tan, Lihui
  • Zhang, Qian
  • Yang, Lihua

Abstract

The concept of mono-component is widely used in non-stationary signal processing and time-frequency analysis. A special class of mono-components, called ϵ-mono-components, were proposed in our recent publication. It was illustrated that this model coincides with the intuition of human beings on the physical mono-components very well provided that the parameter ϵ is sufficiently small. It is then very meaningful to construct desired ϵ-mono-components and design algorithms to decompose and represent non-stationary signals adaptively. This paper studies the constructions of ϵ-mono-components and makes mathematical analysis on an adaptive signal decomposition algorithm based on ϵ-mono-components.

Suggested Citation

  • Huang, Chao & Tan, Lihui & Zhang, Qian & Yang, Lihua, 2017. "Constructions of ϵ-mono-components and mathematical analysis on signal decomposition algorithm," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 555-564.
    • Handle: RePEc:eee:apmaco:v:293:y:2017:i:c:p:555-564
    DOI: 10.1016/j.amc.2016.08.036
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