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: | , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
2009
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| 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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| Summary: | 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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