Keywords: Local mean decomposition Data fusion Complex signal analysis Time–frequency analysis Signal nonlinearity Spike identification a b s t r a c t The local mean decomposition (LMD) has been recently developed for the analysis of time series which have nonlinearity and nonstationarity. The smoothed local mean of the LMD surpasses the cubic spline method used by the empirical mode decomposi...

A property of nonlinear oscillators—mutual dependence between their instantaneous amplitude and frequency—is tested in the yearly and monthly records of the sunspot numbers using the histogramadjusted isospectral surrogate data and the Barnes model as the autoregressive moving average surrogates. The instantaneous amplitudes and frequencies are obtained by means of the analytic signal approach ...

Parity symmetry is an important local feature for qualitative signal analysis. It is strongly related to the local phase of the signal. In image processing parity symmetry is a cue for the line-like or edge-like quality of a local image structure. The analytic signal is a well-known representation for 1D signals, which enables the extraction of local spectral representations as amplitude and ph...

This text describes a generalization of the analytic signal (Gabor, 1946) approach for the definition of instantaneous amplitude and phase to the case of multivariate signals. It was originally written as an appendix for another paper, where the determination of the locally dominant oscillatory direction (the instantaneous amplitude) described here is used as a preprocessing step for another ki...

magnetic survey is nowadays the most efficient non-destructive geophysical method. this technique puts emphasis on the measurement of anomalies of the earth’s magnetic field, caused by the presence of archaeological remains in the ground. magnetic survey is one of the oldest geophysical methods for airborne and land use. that is why there is a large volume of data that could be used for geologi...

Generalized Derivative Operator (GDO) is one of the first-order derivative filters that could control derivative’s direction by modifying value azimuth () and dip parameters. This study aims to examine those GDO parameters on synthetic Bouguer anomaly apply them field data Silver Peak geothermal identify geological structures. We use Python programs conduct other operators such as horizontal gr...