Discrete-Time Multi-Scale Systems

Daniel Alpay, Mamadou Mboup

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 polydisc. 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.

Original languageEnglish
Pages (from-to)163-191
Number of pages29
JournalIntegral Equations and Operator Theory
Issue number2
StatePublished - 22 Mar 2010


  • Discrete-scale transformation
  • linear systems
  • reproducing kernels
  • scale invariance
  • self-similarity


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