Construction of approximate dual wavelet frames

Authors:
Hans G. Feichtinger;Darian M. Onchis;Christoph Wiesmeyr
Affiliations:
University of Vienna, Austria, Vienna, Austria 1090;University of Vienna, Austria, Vienna, Austria 1090;University of Vienna, Austria, Vienna, Austria 1090
Venue:
Advances in Computational Mathematics
Year:
2014

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Abstract

This paper presents a computationally realizable approach for the construction of an approximate dual wavelet frame. We are considering wavelet frames on the real line obtained by appropriate translation and dilation of a single given atom. We show asymptotic results in operator norm. Also we present numerical results to demonstrate the realizability of the approximation.