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A Painless and Direct Way from Integral to Discrete Fast Wavelet Transforms
Author(s) -
Rieder Andreas
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199811)78:11<781::aid-zamm781>3.0.co;2-a
Subject(s) - wavelet , discrete wavelet transform , scaling , function (biology) , wavelet transform , mathematics , harmonic wavelet transform , computer science , mathematical analysis , artificial intelligence , geometry , evolutionary biology , biology
Starting from the integral wavelet transform it is shown how the scaling function appears naturally in terms of bandpass filtering. Our arguments help to motivate the definition of multiscale analyses.