Comparative analysis of continuous signals reconstruction by Kotelnikov series and spline-functions

Authors

  • Ірина Вікторівна Стрелковська Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029, Ukraine
  • Олена Вікторівна Лисюк Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029, Ukraine
  • Роман Володимирович Золотухін Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.12437

Keywords:

Interpolation, approximation, reconstruction, amplitude, signal, spline-function, Kotelnikov series

Abstract

The comparative analysis of continuous signal reconstruction on its discrete values by Kotelnikov series and spline functions on the samples of the signal characterized by higher amplitude steepness and sharp function increase is suggested in the given article. The obtained values of signal approximation errors by Kotelnikov series and cube spline allow us to confirm that under specific conditions more effective approximation method is spline function, but under some conditions is widely used Kotelnikov series. The recommendations for selection and application of signal reconstruction methods depending on its forms on the finite period have been developed. The question is to find another mathematic method which will allow us to decrease approximation error and will be more effective for above mentioned signal reconstruction

Author Biographies

Ірина Вікторівна Стрелковська, Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029

Doctor of Technical Sciences, Professor, Dean of the «Infocommunications» department

Department of Higher Mathematics

Олена Вікторівна Лисюк, Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029

Lecturer

Department of Switching Systems

Роман Володимирович Золотухін, Odessa National Academy of Telecommunications named after by A.S. Popov Kovalskaya, 1, Odessa, 65029

Master

Department of «Infocommunications»

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Published

2013-04-25

How to Cite

Стрелковська, І. В., Лисюк, О. В., & Золотухін, Р. В. (2013). Comparative analysis of continuous signals reconstruction by Kotelnikov series and spline-functions. Eastern-European Journal of Enterprise Technologies, 2(9(62), 12–15. https://doi.org/10.15587/1729-4061.2013.12437

Issue

Vol. 2 No. 9(62) (2013): Information and control systems

Section

Information and controlling system

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Copyright (c) 2014 Ірина Вікторівна Стрелковська, Олена Вікторівна Лисюк, Роман Володимирович Золотухін

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