Publication

Optimal Spline Generators for Derivative Sampling

Michaël Unser, Shayan Aziznejad
2019
Conference Papers

Abstract

The goal of derivative sampling is to reconstruct a signal from the samples of the function and of its first-order derivative. In this paper, we consider this problem over a shift-invariant reconstruction subspace generated by two compact-support functions. We assume that the reconstruction subspace reproduces polynomials up to a certain degree. We then derive a lower bound on the sum of supports of its generators. Finally, we illustrate the tightness of our bound with some examples.

Official source

https://infoscience.epfl.ch/entities/publication/64edc73a-287b-404b-a089-ce9754a642c3

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Optimal Spline Generators for Derivative Sampling

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