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

Chao Huang, Lihui Tan, Qian Zhang and Lihua Yang

Applied Mathematics and Computation, 2017, vol. 293, issue C, 555-564

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.

Keywords: Mono-component; Instantaneous frequency; Analytic amplitude; Signal decomposition (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:555-564

DOI: 10.1016/j.amc.2016.08.036

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