2023
DOI: 10.55708/js0205001
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Orthogonal Polynomials in the Problems of Digital Information Processing

Yaroslav Pyanylo,
Valentyna Sobko,
Halyna Pyanylo
et al.

Abstract: The paper examines spectral methods based on classical orthogonal polynomials for solving problems of digital information processing. Based on Jacobi polynomials, signal approximation methods are built to identify objects in the natural environment. Based on Chebyshev-Laguerre polynomials, methods of filtering multiplicative signal noises in linear filter models are proposed. Numerical experiments on model problems were conducted.

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Cited by 1 publication
(1 citation statement)
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“…Remote sensing datasets play an important role in many big data applications, e.g., spatial analysis, earth observation modeling, urban planning, and prompt response to rapid changes in demographic, economic, and technological landscapes [1][2][3][4]. Massive geospatial data have been collected from a wide range of sources, such as satellites [5], mobile devices [6], and aerial photography [7] etc.…”
Section: Introductionmentioning
confidence: 99%
“…Remote sensing datasets play an important role in many big data applications, e.g., spatial analysis, earth observation modeling, urban planning, and prompt response to rapid changes in demographic, economic, and technological landscapes [1][2][3][4]. Massive geospatial data have been collected from a wide range of sources, such as satellites [5], mobile devices [6], and aerial photography [7] etc.…”
Section: Introductionmentioning
confidence: 99%