Discrete-Time Multi-Scale Systems

Authors

Daniel Alpay, Chapman UniversityFollow
Mamadou Mboup, Université Paris Descartes

Document Type

Article

Publication Date

2010

Abstract

We introduce multi-scale filtering by the way of certain double convolution systems. We prove stability theorems for these systems and make connections with function theory in the poly-disc. Finally, we compare the framework developed here with the white noise space framework, within which a similar class of double convolution systems has been defined earlier.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Integral Equations and Operator Theory, volume 68, issue 2, in 2010 following peer review. The final publication is available at Springer via DOI: 10.1007/s00020-010-1785-8

Recommended Citation

D. Alpay and M. Mboup. Discrete-time multi-scale systems. Integral Equations and Operator Theory, vol 68 (issue 2), pp. 163-191 (2010).

Peer Reviewed

1

Copyright

Springer