Cardinal exponential splines: part I - theory and filtering algorithms

@article{Unser2005CardinalES,
title={Cardinal exponential splines: part I - theory and filtering algorithms},
author={Michael Unser and Thierry Blu},
journal={IEEE Transactions on Signal Processing},
year={2005},
volume={53},
pages={1425-1438}
}

Causal exponentials play a fundamental role in classical system theory. Starting from those elementary building blocks, we propose a complete and self-contained signal processing formulation of exponential splines defined on a uniform grid. We specify the corresponding B-spline basis functions and investigate their reproduction properties (Green function and exponential polynomials); we also characterize their stability (Riesz bounds). We show that the exponential B-spline framework allows an… CONTINUE READING