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A NOVEL PROCEDURE OF WAVELET COMPUTATIONBASED ON HERMITE POLYNOMIALS |
LIU Baotong 1,WANG Yuqiang 2 |
1.College of Physics and Information Science, Tianshui Normal University, Tianshui 741000,China;2.Ningxia Institute of Geophysical and Geochemical Exploration, Yinchuan 750021,China |
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Abstract This paper introduces a novel procedure for computing source waveforms, in which the direct derivation is not necessary, and the explicit expressions for these polynomials are also not required. The computation is performed recurrently via the product of a Hermite polynomial and the Gaussian. Numerical tests reveal that the computed wavelets can model source pulse more precisely.
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Received: 11 September 2008
Published: 02 December 2009
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