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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Elsevier
2009
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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 |
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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.
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| 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/ |
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1643826032906600448 |
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13.209306 |