Addition of New feature: Statistical Significance test of Residue or trend component

Question

Addition of New feature: Statistical Significance test of Residue or trend component

oshin94 opened this issue 3 years ago · comments

Arnab Paul Choudhury commented 3 years ago

@wmayner I would like to contribute to this project by adding the test for statistical information content of EMD components.
The test allows one to identify statistically significant IMFs in a noisy data.

The methodology was proposed by Zhaohua Wu, & Huang, N. E. (2004) in their paper, "A study of the characteristics of white noise using the empirical mode decomposition method" and has been established as a method to analyse trends especially for hydrological time series.
link: Original paper

Initially, only the residue component can be added, later on all IMFs can be added.

Kindly, let me know if the idea is in line with the aim of this project and if I may raise a PR.

William Mayner · Answer 1 · Thu Dec 02 2021 13:43:10 GMT+0800 (China Standard Time)

It sounds like this would be an operation performed after the EMD itself is computed. Is that right?

Arnab Paul Choudhury · Answer 2 · Tue Dec 14 2021 02:19:14 GMT+0800 (China Standard Time)

@wmayner yes, however for the test, the signal has to be normalized before the decomposition.

Arnab Paul Choudhury · Answer 3 · Tue Dec 14 2021 02:29:02 GMT+0800 (China Standard Time)

I just noticed that I am talking about a different type of EMD: Empirical Mode Decomposition and not Earth Mover's Distance Metric. Sorry for the confusion. Closing this issue.