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Vol. 204, Issue 9, September 2016, pp. 21-28

 

Bullet

 

A Sliding Window Empirical Mode Decomposition for Long Signals Algorithm
 

1 J. L. Sanchez, 2 Manuel D. Ortigueira, 3 Raul T. Rato, 4 Juan J. Trujillo

1 Departamento de Ingeniería Informática y de sistemas, Universidad de La Laguna 38271 La Laguna, Tenerife, Spain
2 UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL, Caparica, Portugal
3 UNINOVA and Escola Superior de Tecnologia do Instituto Politécnico de Setubal, 2910-761 Setubal, Portugal
4 Departamento de Análisis Matemático, Universidad de La Laguna 38271 La Laguna, Tenerife, Spain
1 Tel.: 34922845043
1 E-mail: jsanrosa@ull.edu.es

 

Received: 4 July 2016 /Accepted: 31 August 2016 /Published: 30 September 2016

Digital Sensors and Sensor Sysstems

 

Abstract: This document presents a sliding window algorithm for the calculation of the empirical mode decomposition for long signals. The spline calculation of very long signals requires a long computation time. Our aim is to improve the calculation time of the empirical mode decomposition for Long signals. Some authors have used sliding windows for the whole decomposition. Our main contribution is to reduce the computation time calculating each intrinsic mode function on a sliding window basis. That ensures the obtained intrinsic mode function has no discontinuities on the junction regions between consecutive windows. Moreover, the sliding window size changes adaptively according to the number of extrema in the previous intrinsic mode function. The effectiveness of the proposed method increases with the length of the signal obtaining computation times of the order of 30 % of the time required to obtain the decomposition using only a window as in the classical manner. Those results are important to apply the empirical mode decomposition to long signals. Particularly, to biomedical signals like long-term ECG or long term EEG.

 

Keywords: Empirical mode decomposition, Intrinsic mode function, Long signals, Sliding window.

 

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