Sampling Theorem and interpolation formula for non-vanishing signals
Nikolai Dokuchaev
TL;DR
This paper develops a new sampling theorem and interpolation formula for non-vanishing signals, extending classical results to a broader class of signals with practical applications.
Contribution
It introduces an analog sampling theorem with a fast decreasing coefficient and a modified interpolation formula for non-vanishing bounded continuous signals.
Findings
Established a new sampling theorem for non-vanishing signals.
Proposed a modified interpolation formula applicable to general non-vanishing signals.
Extended classical sampling results to broader signal classes.
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.
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Taxonomy
TopicsImage and Signal Denoising Methods · Numerical methods in inverse problems · Ultrasonics and Acoustic Wave Propagation