UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2003 Meeting


Section: Optics, Spectroscopy, Plasma and Lasers


Title:
An Approximated Delta Wavelet


Authors:
V.I.R.Niculescu1, V.Babin2, Catalin Stanciu3, Claudia Stanciu3


Affiliation:
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. Physics Faculty, Bucharest University,Bucharest- Magurele,P.O.Box MG-11, Romania


Keywords: Signal processing,An approximated delta wavelet


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Abstract:
The wavelet theory is a powerful method for processing different signals. In this report a new wavelet was obtained. This approximated delta wavelet is based on an approximation of a delta window. From the admissibility condition in the case of wavelet regular enough we have: i) the wavelet Fourier transform in origin equal to zero and ii) the wavelet has zero mean. This transform is a more flexible one because is dependent on three parameters and can cover more combinations of discrete and continuous parameter discretisations (hybrid cases).