Aliasing Error of Sampling Series in Wavelet Subspaces

Abstract

Alising error arises whenever a sampling formula, valid for a prescribed space, is applied to a function in a bigger space. In this work, we estimate the aliasing error of classic and average sampling expansions in wavelet subspaces of a multiresolution analysis.

Keywords:

• Aliasing error
• Sampling
• Wavelet subspace

AMS Subject Classification:

• 42C15
• 42C40
• 94A20

ACKNOWLEDGMENTS

This work was partially supported by KOSEF(R01-2006-000-10424-0) and by the grant MTM2006–09737 from the D.G.I. of the Spanish Ministerio de Ciencia y Tecnología.