English

Sampling Theorem and interpolation formula for non-vanishing signals

Information Theory 2024-06-19 v5 Functional Analysis math.IT Optimization and Control Spectral Theory

Abstract

The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem with fast decreasing coefficient, as well as a new modification of the corresponding interpolation formula applicable for general type non-vanishing bounded continuous signals.

Keywords

Cite

@article{arxiv.2405.10007,
  title  = {Sampling Theorem and interpolation formula for non-vanishing signals},
  author = {Nikolai Dokuchaev},
  journal= {arXiv preprint arXiv:2405.10007},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2405.05566

R2 v1 2026-06-28T16:29:22.085Z