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Algebraic wavelet filters
Author(s) -
Klappenecker Andreas
Publication year - 1996
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/(sici)1098-1098(199623)7:3<166::aid-ima2>3.0.co;2-6
Subject(s) - wavelet , discrete wavelet transform , stationary wavelet transform , lifting scheme , second generation wavelet transform , mathematics , harmonic wavelet transform , wavelet transform , orthonormal basis , wavelet packet decomposition , fast wavelet transform , cascade algorithm , legendre wavelet , algorithm , computer science , mathematical optimization , artificial intelligence , physics , quantum mechanics
A method to compute the discrete wavelet transform for certain wavelet filters is proposed that takes advantage of conjugacy properties in number fields. It is shown that wavelet filters derived from compactly supported orthonormal wavelets can be approximated with arbitrary precision by the proposed wavelet filters. © 1996 John Wiley & Sons, Inc.