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New construction of wavelets base on floor function.


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


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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1016/j.amc.2009.01.065
Publisher: Elsevier
Keywords: Floor function; Stepwise function; Haar wavelet; Sine–cosine wavelet; Block-pulse functions; Hybrid fourier block-pulse functions.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 25 Jul 2013 03:59
Last Modified: 16 Nov 2015 04:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.amc.2009.01.065
URI: http://psasir.upm.edu.my/id/eprint/15798
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