Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

V. Semenov; J. Prestin

doi:10.1007/s10559-018-0069-1

Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

V. Semenov^*, J. Prestin

^*Corresponding author for this work

Institute of Mathematics

DELTA SPE Scientific and Production Enterprise

Abstract

The properties of wavelets based on Jacobi polynomials are analyzed. The conditions are considered under which these wavelets are mutually orthogonal and under which the wavelet basis is characterized by a minimum Riesz ratio. These problems lead to the solution of systems of nonlinear equations by a method proposed earlier by the authors.

Original language	English
Journal	Cybernetics and Systems Analysis
Volume	54
Issue number	4
Pages (from-to)	678-686
Number of pages	9
ISSN	1060-0396
DOIs	https://doi.org/10.1007/s10559-018-0069-1
Publication status	Published - 01.07.2018

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10.1007/s10559-018-0069-1

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title = "Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials",

abstract = "The properties of wavelets based on Jacobi polynomials are analyzed. The conditions are considered under which these wavelets are mutually orthogonal and under which the wavelet basis is characterized by a minimum Riesz ratio. These problems lead to the solution of systems of nonlinear equations by a method proposed earlier by the authors.",

author = "V. Semenov and J. Prestin",

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AU - Semenov, V.

AU - Prestin, J.

PY - 2018/7/1

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N2 - The properties of wavelets based on Jacobi polynomials are analyzed. The conditions are considered under which these wavelets are mutually orthogonal and under which the wavelet basis is characterized by a minimum Riesz ratio. These problems lead to the solution of systems of nonlinear equations by a method proposed earlier by the authors.

AB - The properties of wavelets based on Jacobi polynomials are analyzed. The conditions are considered under which these wavelets are mutually orthogonal and under which the wavelet basis is characterized by a minimum Riesz ratio. These problems lead to the solution of systems of nonlinear equations by a method proposed earlier by the authors.

UR - https://www.scopus.com/pages/publications/85050665598

U2 - 10.1007/s10559-018-0069-1

DO - 10.1007/s10559-018-0069-1

M3 - Journal articles

AN - SCOPUS:85050665598

SN - 1060-0396

VL - 54

SP - 678

EP - 686

JO - Cybernetics and Systems Analysis

JF - Cybernetics and Systems Analysis

IS - 4

ER -

Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

Abstract

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