Measuring Translation Shiftability of Frames

Authors:
J. Sampo;J. -K. Kamarainen;M. Heiliö;H. Kälviäinen
Affiliations:
Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

The shiftability property has been shown to be advantageous in certain signal processing tasks, such as feature extraction, and thus, practical shiftability measures are needed. In this study, translation shiftability measures for frames of regular translates are revisited, novel measures are proposed, and numerical examples are shown. In addition, a simple lower bound for shiftability of dual frames is presented and the measures are also considered in the finite-dimensional case.