Correlation Functions Application Effect on Periodic Pulse Signal with Harmonic Elements

Authors

  • V. S. Vanchak Ivano-Frankivsk National Technical University of Oil and Gas
  • S. I. Melnychuk Ivano-Frankivsk National Technical University of Oil and Gas
  • I. Z. Manuliak Ivano-Frankivsk National Technical University of Oil and Gas

DOI:

https://doi.org/10.31649/1997-9266-2023-169-4-46-53

Keywords:

correlation functions, discrete signal, periodic pulse signal, signal processing

Abstract

Discrete signal processing is a core function for most low-level processes in digital elements of computer systems. Typical task of such processing is allocation of informative components, reduction of the impact of noise and distortions caused by various factors, and nonlinearity compensation of sensors and hardware components characteristics of digital computer systems, etc.

Within the limits of this article characteristic features of correlation processing of periodic pulse signals with harmonic components was reviewed, experiment regarding the effectiveness of their detection in case of presence of additive effects of noise was carried out . Aspects of reference fragments formation , based on the experimentally obtained set of signals are considered . Conducted research includes development of the algorithm for the allocation of the typical fragments from the set of signals , formation of the template, based on the known mathematical tools . The processes, algorithms, and analytical expressions used for the formation of the reference signals, research and evaluation of the effectiveness of signal processing are provided.

Main criterion for the comparison of the efficiency of usage of various correlation functions was selected the change of the assessment of signal energy to noise energy ratio for the input signals and their correlation signals. The research results show the impact of the algorithms of reference signal formation, and changing the number of pre-allocated signal fragments on correlation functions in case processing of discrete periodic pulse signals with harmonic components.

Author Biographies

V. S. Vanchak, Ivano-Frankivsk National Technical University of Oil and Gas

Post-Graduate Student the Chair of Computer Systems and Networks

S. I. Melnychuk, Ivano-Frankivsk National Technical University of Oil and Gas

Dr. Sc. (Eng.), Professor, Head of the Chair of Computer Systems and Networks

I. Z. Manuliak, Ivano-Frankivsk National Technical University of Oil and Gas

Cand. Sc. (Eng.), Associate Professor, Associate Professor of the Chair of Computer Systems and Networks

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Published

2023-08-31

How to Cite

[1]
V. S. Vanchak, S. I. . Melnychuk, and I. Z. Manuliak, “Correlation Functions Application Effect on Periodic Pulse Signal with Harmonic Elements”, Вісник ВПІ, no. 4, pp. 46–53, Aug. 2023.

Issue

No. 4 (2023)

Section

Information technologies and computer sciences

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