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Problemy Peredachi Informatsii, 2013, Volume 49, Issue 2, Pages 34–57 (Mi ppi2107)  
This article is cited in 2 scientific papers (total in 2 papers)

Methods of Signal Processing

On interpolation of smooth processes and functions

G. K. Golubevab, E. A. Krymovaa

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University)
Full-text PDF (424 kB) Citations (2)
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Abstract: We consider interpolation problems for smooth stationary Gaussian processes and functions from Sobolev classes. These problems are shown to be closely related. Much attention is paid to spline-based interpolation methods. In particular, we prove that splines are limiting optimal interpolations of stationary Gaussian processes with special spectral densities. Based on this analogy, we propose a simple method for controlling accuracy of spline interpolation.
Received: 20.08.2012
Revised: 13.11.2012
English version:
Problems of Information Transmission, 2013, Volume 49, Issue 2, Pages 127–148
DOI: https://doi.org/10.1134/S0032946013020038
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.2
Language: Russian
Citation: G. K. Golubev, E. A. Krymova, “On interpolation of smooth processes and functions”, Probl. Peredachi Inf., 49:2 (2013), 34–57; Problems Inform. Transmission, 49:2 (2013), 127–148
Citation in format AMSBIB
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\paper On interpolation of smooth processes and functions
\jour Probl. Peredachi Inf.
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\vol 49
\issue 2
\pages 34--57
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\transl
\jour Problems Inform. Transmission
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\vol 49
\issue 2
\pages 127--148
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Linking options:
  • https://www.mathnet.ru/eng/ppi2107
  • https://www.mathnet.ru/eng/ppi/v49/i2/p34
    • This publication is cited in the following 2 articles:
    1. Lirong Chen, Dingxiong Wang, Hui Wang, Xiaodong Wu, Landing Gu, Fen Ma, Fei Xie, Muqun Feng, Zhaofeng Yin, Chao Liu, Tiancheng Jin, Sebastian Podda, “Research on an Oil Pipeline Anomaly Identification Method for Distinguishing True and False Anomalies”, Mobile Information Systems, 2022 (2022), 1  crossref
    2. Brian Breitsch, Y. Jade Morton, “A Batch Algorithm for GNSS Carrier Phase Cycle Slip Correction”, IEEE Trans. Geosci. Remote Sensing, 60 (2022), 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Abstract page:391
    Full-text PDF :131
    References:59
    First page:30
     
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