Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article An Energy-Based Similarity Measure for Time Series | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2008 Article ID 135892 8 pages doi 2008 135892 Research Article An Energy-Based Similarity Measure for Time Series Abdel-Ouahab Boudraa 1 2 Jean-Christophe Cexus 2 Mathieu Groussat 1 and Pierre Brunagel1 1 IRENav Ecole Navale Lanvéoc Poulmic BP600 29240 Brest-Armées France 2E3I2 EA 3876 ENSIETA 29806 Brest Cedex 9 France Correspondence should be addressed to Abdel-Ouahab Boudraa boudra@ Received 27 August 2006 Revised 30 March 2007 Accepted 24 July 2007 Recommended by Jose C. M. Bermudez A new similarity measure called SimilB for time series analysis based on the cross-VB-energy operator 2004 is introduced. VB is a nonlinear measure which quantifies the interaction between two time series. Compared to Euclidean distance ED or the Pearson correlation coefficient CC SimilB includes the temporal information and relative changes of the time series using the first and second derivatives of the time series. SimilB is well suited for both nonstationary and stationary time series and particularly those presenting discontinuities. Some new properties of VB are presented. Particularly we show that VB as similarity measure is robust to both scale and time shift. SimilB is illustrated with synthetic time series and an artificial dataset and compared to the CC and the ED measures. Copyright 2008 Abdel-Ouahab Boudraa et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION A Time Series TS is a sequence of real numbers where each one represents the value of an attribute of interest stock or commodity price sale exchange weather data biomedical measurement etc. . TS datasets are common in various fields such as in medicine finance and multimedia. For example in gesture recognition and video .
