ETHFB:A NewClass ofEven-Length Wavelet Filters forHubert PairDesign
Han Yang Tay · 2006
A newclass ofbiorthogonal filter banks, called the allows theETHFBtobeusedtomatchodd-length filter bank Even-Triplet-Halfband-Filter-Bank (ETHFB), isintroduced here.withasymmetrical response likethe5/3pairinJPEG2000. Thefilters haveeven-length, andareusedtomatchagiven odd-Furthermore, insomecases, theETHFBisabletoachieve length filter banksuchthattheequivalent wavelet functions of a . m bothfilter banksareapproximate Hilbert transform ofeach abetter matchandwithashorter filter thantheEven-length other, ie.Hilbert Pair. Therearetwoversions oftheETHFB Bernstein Filter Bank.A least squares basedprocedure will andtheyaremodifications ofthe(odd-length) Triplet-Halfband- bepresented forthematching design oftheETHFB. Filter-Bank. TheParametric Bernstein Polynomial isutilized in theconstruction ofthethreekernels thatdefine theETHFB. Thedetermination ofthedesign parameters ofthefilter bankis II.HILBERTPAIRAND THEMATCHINGTECHNIQUE achieved through anefficient least squares method. Webriefly review keyresults hereandrefer thereader to(4) formoredetails. A standard 2-channel filter bankisdefined