Detection and identification of nonlinearities by amplitude and frequency modulation analysis

Separating scale-specific soil spatial variability: A comparison of multi-resolution analysis and empirical mode decomposition

“…Orthogonality is a requirement for linear systems, where the sum of the effects of individual components is equal to the overall effect (Huang et al, 1998). However, in a nonlinear system, the effect of individual processes are non-additive and do not follow the principle of superposition (Pai and Palazotto, 2008;Yan and Gao, 2007). The adaptivity of the EMD enables effective analysis of nonlinear systems.…”

Application of Multifractal and Joint Multifractal Analysis in Examining Soil Spatial Variation: A Review

“… Nonlinearity: Often the effect from different factors and processes are non-additive in nature [16] and do not follow the principle of superposition. These are the characteristics of a nonlinear system [17], which can be explained by a simple example. Soil water storage is controlled by a number of factors [such as elevation, texture, vegetation, …].…”

Adaptive Signal Decomposition Methods for Vibration Signals of Rotating Machinery

“…One timid way is to use a sliding window [7], as is done routinely in Fourier analysis [6]. The sliding window is successfully applied to Fourier analysis using various windows and continuous wavelet analyses.…”

“…According to this table, there are three local minimal points, i.e. γ 2,3 , γ 5,6 and γ 7,8 . The RSC values of IMF3-IMF4 and IMF4-IMF5 are larger than 0.5 and it shows their similarity on frequency domain, and thus these three components are combined to one natural IMF.…”