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A MODIFIED HANNING WAVELET V.I.R.Niculescu1
 

Summary: 1
A MODIFIED HANNING WAVELET
V.I.R.Niculescu1
, V.Babin2
, Mihaela Dan3
1. National Institute for Laser,Plasma and Radiation Physics,Electron Accelerators
Laboratory,P.O. Box MG-36, R-76900,Romania, e-mail : vniculescu@alpha2.ifim.ro,
2. Research and Development National Institute for Optoelectronics,Bucharest-
Magurele,P.O.Box MG-22,R-79600,Romania, 3. Cluj-Napoca,nena@personal.ro
Keywords: Wavelet,Hanning window
Abstract
The wavelet theory is a powerful method for processing different signals. The
Hanning wavelet can be obtained from the Hanning window. In this brief report we
present a new wavelet transform which is a generalisation of Hanning window. This
transform is a more flexible one because dependent on three parameters and can cover
more combinations of discrete and continuous parameter discretisations (hybrid cases).
In processing signals, a part the well known Fourier methods, a more powerful
instrument is offered by the wavelet theory[1,2].The Hanning window[3] is a product of
two Heaviside functions.Each Heaviside function is given[4] by :
( ) ( )ApproxH t arctg t aa = +

  

Source: Aboufadel, Edward F. - Department of Mathematics, Grand Valley State University

 

Collections: Multidisciplinary Databases and Resources; Mathematics