MULTIDIMENSIONAL 2-CHANNEL LINEAR-PHASE FIR FILTER BANKS AND WAVELET BASES WITH VANISHING MOMENTS

Authors
COOKLEV T NISHIHARA A YOSHIDA T SABLATASH M
Citation
T. Cooklev et al., MULTIDIMENSIONAL 2-CHANNEL LINEAR-PHASE FIR FILTER BANKS AND WAVELET BASES WITH VANISHING MOMENTS, Multidimensional systems and signal processing, 9(1), 1998, pp. 39-76
Citations number
37
Categorie Soggetti
Computer Science Theory & Methods","Engineering, Eletrical & Electronic","Computer Science Theory & Methods
Journal title
Multidimensional systems and signal processing → ACNP
ISSN journal
09236082
Volume
9
Issue
1
Year of publication
1998
Pages
39 - 76
Database
ISI
SICI code
0923-6082(1998)9:1<39:M2LFFB>2.0.ZU;2-O
Abstract
In the paper new design methods for multidimensional two-channel perfe ct reconstruction (PR) FIR filter banks are described. The filters hav e linear phase, achieve an arbitrarily high number of vanishing moment s and can be used to obtain biorthogonal wavelet bases. Two-dimensiona l wavelet bases with square, rectangular, and hexagonal support are co nstructed. A design method that trades off vanishing moments and frequ ency selectivity is described. These two properties are both important in subband coding, but they each require a share of the degrees of fr eedom available from the total number of filter coefficients. Novel an alytic formulae are derived and are applied to provide illustrative ex amples.