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A new similarity index for nonlinear signal analysis based on local extrema patterns
, Article Physics Letters, Section A: General, Atomic and Solid State Physics ; Volume 382, Issue 5 , February , 2018 , Pages 288-299 ; 03759601 (ISSN) ; Motie Nasrabadi, A ; Shamsollahi, M. B ; Sharif University of Technology
Elsevier B.V
2018
Abstract
Common similarity measures of time domain signals such as cross-correlation and Symbolic Aggregate approximation (SAX) are not appropriate for nonlinear signal analysis. This is because of the high sensitivity of nonlinear systems to initial points. Therefore, a similarity measure for nonlinear signal analysis must be invariant to initial points and quantify the similarity by considering the main dynamics of signals. The statistical behavior of local extrema (SBLE) method was previously proposed to address this problem. The SBLE similarity index uses quantized amplitudes of local extrema to quantify the dynamical similarity of signals by considering patterns of sequential local extrema. By...