Linear combinations of B-splines as generating functions for signal approximation

Authors:
Manuel J. C. S. Reis;Paulo J. S. G. Ferreira;Salviano F. S. P. Soares
Affiliations:
Department Engenharias/CETAV, Universidade de Trás-os-Montes e Alto Douro, 5000-911 Vila Real, Portugal;Department Electrónica e Telecomunicações/IEETA, Universidade de Aveiro, 3810-193 Aveiro, Portugal;Department Engenharias/CETAV, Universidade de Trás-os-Montes e Alto Douro, 5000-911 Vila Real, Portugal
Venue:
Digital Signal Processing
Year:
2005

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Abstract

The advantages of B-splines for signal representation are well known. This paper explores a fact that seems to be less well known, namely, the possibility of using linear combinations of B-splines to obtain representations that are more stable than the usual ones. We give the best possible Riesz bounds for these linear combinations and calculate their duals, in a generalized sampling context.