New construction of wavelets base on floor function

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• 作者：Zulkifly Abbas ; S. Vahdati ; M. Tavassoli Kajani ; K.A. Atan
• 关键词：Floor function ; Stepwise function ; Haar wavelet ; Sine– ; Cosine wavelet ; Block-Pulse functions ; Hybrid Fourier Block-Pulse functions
• 刊名：Applied Mathematics and Computation
• 出版年：2009
• 出版时间：15 April 2009
• 年：2009
• 卷：210
• 期：2
• 页码：473-478
• 全文大小：190 K

文摘

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.