1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 84(4 Pt 2): 045202, 2011 Oct.
Article
in English
| MEDLINE
| ID: mdl-22181215
ABSTRACT
We propose an adaptive multiscale approach to data analysis based on synchronization. The approach is nonlinear, data driven in the sense that it does not rely on a priori chosen basis, and automatically determines the data scale. Numerical results for one- and two-dimensional cases illustrate that the method works effectively for the usual modulated signals such as chirps, etc., as well as for more complicated data with multiple scales. The method extends straightforwardly to functions defined on weighted graphs and grids in high dimensions. Connections with some other recent approaches to multiscale analysis are briefly discussed.