Published October 11, 2011
| Published
Journal Article
Open
Adaptive multiresolution analysis based on synchronization
- Creators
- Pesenson, Meyer Z.
- Pesenson, Isaac Z.
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.
Additional Information
© 2011 American Physical Society. Received 14 June 2011; published 11 October 2011. M.P. would like to thank M. Desbrun and J. Tropp for the stimulating discussions and suggestions that helped to improve the paper. We thank the anonymous reviewers for constructive suggestions that helped to improve the presentation. This work was in part supported by the grant from NGA, NURI HM1582-08-1-0019, and the grant from AFOSR, MURI FA9550-09-1-0643.Attached Files
Published - Pesenson2011p16277Phys_Rev_E.pdf
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Pesenson2011p16277Phys_Rev_E.pdf
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Additional details
- Eprint ID
- 27902
- Resolver ID
- CaltechAUTHORS:20111122-081725292
- HM1582-08-1-0019
- NGA NURI
- FA9550-09-1-0643
- AFOSR MURI
- Created
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2011-11-22Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field