Sampling Theorem and interpolation formula for non-vanishing signals

2024/05/16 by Nikolai Dokuchaev, Dokuchaev, Nikolai
Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Information Theory (cs.IT) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Spectral Theory (math.SP) #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.2405.10007

openalex publication_date 2024/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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