Nonpolynomial spline based Empirical Mode Decomposition

Author

Singh, Prashant ; Srivastava, Prashant K. ; Patney, Rakesh Kumar ; Joshi, S.D. ; Saha, Kasturi

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, New Delhi, India

fYear

2013

fDate

12-14 Dec. 2013

Firstpage

435

Lastpage

440

Abstract

Authors propose a nonpolynomial spline based Empirical Mode Decomposition (EMD) algorithm to reduce mode mixing, and detrend uncertainty in analysis of time series. This new algorithm first locates original and pseudo extrema and then uses nonpolynomial spline interpolation to determine the upper and lower envelope at each decomposition step. A set of algebraic equations for the nonpolynomial spline interpolation is derived. A numerical simulation has been carried out for the analysis of error in spline interpolations. Various time series analysis have been preformed to show comparison among EMD and ensemble EMD (EEMD) based on polynomial spline, and nonpolynomial spline based EMD. Nonpolynomial spline based EMD algorithm is promising and generating better results.

Keywords

interpolation; splines (mathematics); time series; algebraic equations; mode mixing; nonpolynomial spline based empirical mode decomposition algorithm; nonpolynomial spline interpolation; polynomial spline; time series analysis; Algorithm design and analysis; Equations; Interpolation; Numerical simulation; Splines (mathematics); Time series analysis; Uncertainty; Empirical mode decomposition; detrend uncertainty; intrinsic mode functions; mode mixing; nonpolynomial spline;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Communication (ICSC), 2013 International Conference on

Conference_Location

Noida

Print_ISBN

978-1-4799-1605-4

Type

conf

DOI

10.1109/ICSPCom.2013.6719829

Filename

6719829