Title
New construction of wavelets base on floor function
Abstract
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). 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.
Year
DOI
Venue
2009
10.1016/j.amc.2009.01.065
Applied Mathematics and Computation
Keywords
Field
DocType
floor function,hybrid fourier block-pulse functions,stepwise function,sine-cosine wavelet,sine–cosine wavelet,haar wavelet,block-pulse functions
Fourier analysis,Dilation (morphology),Mathematical analysis,Fourier transform,Simple function,Haar wavelet,Integer-valued function,Function representation,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
210
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Zulkifly Abbas1616.47
S. Vahdati200.34
M. Tavassoli Kajani316821.98
K.A. Atan400.34