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- Title
CONSTRUCTION OF HIGH VANISHING MOMENTS LINEAR PHASE 3-BAND WAVELETS BASED ON LATTICE STRUCTURE.
- Authors
SHEN, ZHENG WEI; WU, JITAO
- Abstract
The compact supported, linear phase, perfect reconstruction, orthogonal 3-band wavelet with high vanishing moments is very useful in engineering. However, the construction of these systems is not a simple task. In this paper, we construct the 3-band wavelet system with those properties. In this approach, we first designate the scaling filter length which means compact support, then the vanishing moments is set beforehand in spectral factorization formulation. Consequently, the scaling filters with desirable properties are obtained by solving nonlinear equations which implies less parameters. Moreover, we proposed a lattice structure decomposition of polyphase matrix for 3-band wavelet system, which imposed with paraunitary property. With this method, the corresponding wavelet filters are constructed.
- Subjects
MOMENTS method (Statistics); ENERGY bands; WAVELETS (Mathematics); LATTICE theory; MATHEMATICAL decomposition; NUMERICAL solutions to nonlinear differential equations
- Publication
International Journal of Wavelets, Multiresolution & Information Processing, 2012, Vol 10, Issue 4, p-1
- ISSN
0219-6913
- Publication type
Article
- DOI
10.1142/S0219691312500361