Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform
نویسندگان
چکیده
The main objective of this paper is to study the composition continuous Kontorovich-Lebedev wavelet transform (KL-wavelet transform) and wave packet (WPT) based on (KL-transform). Estimates for KL-wavelet are obtained, Plancherel?s relation WPT-transform derived. Reconstruction formula WPT associated KL-transform also deduced at end Calderon?s related using its convolution property obtained.
منابع مشابه
The Kontorovich – Lebedev Integral Transforms and Their Inverses ∗
The numerical evaluation of the transforms in the title, and their inverses, is considered, using a variety of decomposition, truncation, and quadrature methods. Extensive numerical testing is provided and an application given to the numerical evaluation of the kernel of a Fredholm integral equation of interest in mixed boundary value problems on wedge-shaped domains. AMS subject classification...
متن کاملSemyon B . Yakubovich A DISTRIBUTION ASSOCIATED WITH THE KONTOROVICH – LEBEDEV TRANSFORM
We show that in a sense of distributions lim ε→0+ 1 π2 τ sinhπτ ∞ Z ε Kiτ (y)Kix(y) dy y = δ(τ − x), where δ is the Dirac distribution, τ , x ∈ R and Kν(x) is the modified Bessel function. The convergence is in E ′(R) for any even φ(x) ∈ E(R) being a restriction to R of a function φ(z) analytic in a horizontal open strip Ga = {z ∈ C : |Im z| < a, a > 0} and continuous in the strip closure. More...
متن کاملcomparison of different methods of wavelet and wavelet packet transform in processing ground motion records
future design procedures for civil structures, especially those to be protected from extreme and blast relatedloads, will need to account for temporal evolution of their frequency content. there are, however, several instanceswhere acceleration time histories are required as seismic input. for example, to determine the ultimate resistance andto identify modes of structures’ failure, a nonlinear...
متن کاملComparison of Citrus Fruit Surface Defect Classification using Discrete Wavelet Transform, Stationary Wavelet Transform and Wavelet Packet Transform Based Features
The aim of this study is to classify the citrus fruit images based on the external defect using the features extracted in the spectral domain (transform based) and to compare the performance of each of the feature set. Automatic classification of agricultural produce by machine vision technology plays a very important role as it improves the quality of grading. Multi resolution analysis using w...
متن کاملMethods for the Anisotropic Wavelet Packet Transform
Anisotropic wavelet packets present a flexible transform with interesting properties and applications. While certain aspects of this transform have been investigated in conjunction with applications, this paper aims at providing a basic theoretical framework for working with anisotropic wavelet packets. Random decompositions are developed which have distributions with different average decompos...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2101047m