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New construction of wavelets base on floor function.

In this paper, the properties of the floor function has been used to find a function which is one on the interval [0, 1) and is zero elsewhere. The suitable dilation and translation parameters lead us to get similar function corresponding to the interval [a,b)[a,b). These functions and their combina...

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Main Authors: Abbas, Zulkifly, Vahdati, S., Tavassoli Kajani, M., Atan, Kamel Ariffin
Format: Article
Language:English
English
Published: Elsevier 2009
Online Access:http://psasir.upm.edu.my/id/eprint/15798/1/New%20construction%20of%20wavelets%20base%20on%20floor%20function.pdf
http://psasir.upm.edu.my/id/eprint/15798/
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spelling my.upm.eprints.157982015-11-16T04:32:06Z http://psasir.upm.edu.my/id/eprint/15798/ New construction of wavelets base on floor function. Abbas, Zulkifly Vahdati, S. Tavassoli Kajani, M. Atan, Kamel Ariffin In this paper, the properties of the floor function has been used to find a function which is one on the interval [0, 1) and is zero elsewhere. The suitable dilation and translation parameters lead us to get similar function corresponding to the interval [a,b)[a,b). These functions and their combinations enable us to represent the stepwise functions as a function of floor function. We have applied this method on Haar wavelet, Sine–Cosine wavelet, Block-Pulse functions and Hybrid Fourier Block-Pulse functions to get the new representations of these functions. Elsevier 2009-04 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15798/1/New%20construction%20of%20wavelets%20base%20on%20floor%20function.pdf Abbas, Zulkifly and Vahdati, S. and Tavassoli Kajani, M. and Atan, Kamel Ariffin (2009) New construction of wavelets base on floor function. Applied Mathematics and Computation, 210 (2). pp. 473-478. ISSN 0096-3003 10.1016/j.amc.2009.01.065 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description In this paper, the properties of the floor function has been used to find a function which is one on the interval [0, 1) and is zero elsewhere. The suitable dilation and translation parameters lead us to get similar function corresponding to the interval [a,b)[a,b). These functions and their combinations enable us to represent the stepwise functions as a function of floor function. We have applied this method on Haar wavelet, Sine–Cosine wavelet, Block-Pulse functions and Hybrid Fourier Block-Pulse functions to get the new representations of these functions.
format Article
author Abbas, Zulkifly
Vahdati, S.
Tavassoli Kajani, M.
Atan, Kamel Ariffin
spellingShingle Abbas, Zulkifly
Vahdati, S.
Tavassoli Kajani, M.
Atan, Kamel Ariffin
New construction of wavelets base on floor function.
author_facet Abbas, Zulkifly
Vahdati, S.
Tavassoli Kajani, M.
Atan, Kamel Ariffin
author_sort Abbas, Zulkifly
title New construction of wavelets base on floor function.
title_short New construction of wavelets base on floor function.
title_full New construction of wavelets base on floor function.
title_fullStr New construction of wavelets base on floor function.
title_full_unstemmed New construction of wavelets base on floor function.
title_sort new construction of wavelets base on floor function.
publisher Elsevier
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/15798/1/New%20construction%20of%20wavelets%20base%20on%20floor%20function.pdf
http://psasir.upm.edu.my/id/eprint/15798/
_version_ 1643826032906600448
score 13.211869

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