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Optimal Spline Generators for Derivative Sampling

Aziznejad, S ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1109/SampTA45681.2019.9030990
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2019
  4. Abstract:
  5. 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
  6. Keywords:
  7. Compact support ; First order derivatives ; Lower bounds ; Optimal spline ; Shift invariant
  8. Source: 13th International Conference on Sampling Theory and Applications, SampTA 2019, 8 July 2019 through 12 July 2019 ; 2019 ; 9781728137414 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/9030990