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conference paper
Optimal Spline Generators for Derivative Sampling
January 1, 2019
2019 13Th International Conference On Sampling Theory And Applications (Sampta)
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.
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aziznejad1902.pdf
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