scope-emd 1.0.0

scope is the Python-based package for detecting oscillatory signals in observational or experimental time series with the EMD technique and assessing their statistical significance vs. power-law distributed background noise.

scope is the Python-based package for detecting oscillatory signals in observational or experimental time series with the EMD technique and assessing their statistical significance vs. power-law distributed background noise. Oscillatory processes in real data sets of various origins are often contaminated by a combination of white and coloured noise with a power-law spectral dependence, so that the EMD-revealed intrinsic mode functions need to be rigorously tested against the periodic components generated by noise. To do so, we compute the EMD energy spectrum containing the total energy and dominant period of each EMD-revealed intrinsic mode and the noise confidence limits for modal energy. This allows us to identify the significant mode(s) with the energy beyond the confidence limits, which is expected to be of a non-noise origin and associated with a quasi-periodic oscillatory process of interest. The developed package does not assume the physical origin of the input data set, making it readily applicable for analysing oscillatory processes across various fields of science and industry.