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Article: New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases

TitleNew method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases
Authors
KeywordsFilter bank
Wavelet
Causal stable
Iir
Perfect reconstruction
Issue Date2000
PublisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://www.spie.org/oe
Citation
Optical Engineering, 2000, v. 39 n. 10, p. 2810-2820 How to Cite?
AbstractA new method for designing two-channel causal stable IIR PR filter banks and wavelet bases is proposed. It is based on the structure previously proposed by Phoong et al. (1995). Such a filter bank is parameterized by two functions α(z) and β(z), which can be chosen as an all-pass function to obtain IIR filterbanks with very high stopband attenuation. One of the problems with this choice is that a bump of about 4 dB always exists near the transition band of the analysis and synthesis filters. The stopband attenuation of the high-pass analysis filter is also 10 dB lower than that of the low-pass filter. By choosing β(z) and α(z) as an all-pass function and a type-II linear-phase finite impulse response (FIR) function, respectively, the bumping can be significantly suppressed. In addition, the stopband attenuation of the high-pass filter can be controlled easily. The design problem is formulated as a polynomial approximation problem and is solved efficiently by the Remez exchange algorithm. The extension of this method to the design of a class of IIR wavelet bases is also considered.
Persistent Identifierhttp://hdl.handle.net/10722/42828
ISSN
2015 Impact Factor: 0.984
2015 SCImago Journal Rankings: 0.485
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorMao, JSen_HK
dc.contributor.authorChan, SCen_HK
dc.contributor.authorHo, KLen_HK
dc.date.accessioned2007-03-23T04:32:57Z-
dc.date.available2007-03-23T04:32:57Z-
dc.date.issued2000en_HK
dc.identifier.citationOptical Engineering, 2000, v. 39 n. 10, p. 2810-2820en_HK
dc.identifier.issn0091-3286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42828-
dc.description.abstractA new method for designing two-channel causal stable IIR PR filter banks and wavelet bases is proposed. It is based on the structure previously proposed by Phoong et al. (1995). Such a filter bank is parameterized by two functions α(z) and β(z), which can be chosen as an all-pass function to obtain IIR filterbanks with very high stopband attenuation. One of the problems with this choice is that a bump of about 4 dB always exists near the transition band of the analysis and synthesis filters. The stopband attenuation of the high-pass analysis filter is also 10 dB lower than that of the low-pass filter. By choosing β(z) and α(z) as an all-pass function and a type-II linear-phase finite impulse response (FIR) function, respectively, the bumping can be significantly suppressed. In addition, the stopband attenuation of the high-pass filter can be controlled easily. The design problem is formulated as a polynomial approximation problem and is solved efficiently by the Remez exchange algorithm. The extension of this method to the design of a class of IIR wavelet bases is also considered.en_HK
dc.format.extent187466 bytes-
dc.format.extent25088 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://www.spie.org/oeen_HK
dc.relation.ispartofOptical Engineeringen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsCopyright 1999 Society of Photo-Optical Instrumentation Engineers. This paper was published in Optical Engineering, 1999, v. 39 n. 10, p. 2810-2820 and is made available as an electronic reprint with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.en_HK
dc.subjectFilter banken_HK
dc.subjectWaveleten_HK
dc.subjectCausal stableen_HK
dc.subjectIiren_HK
dc.subjectPerfect reconstructionen_HK
dc.titleNew method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet basesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0091-3286&volume=39&issue=10&spage=2810&epage=2820&date=1999&atitle=New+method+for+designing+two-channel+causal+stable+IIR+perfect+reconstruction+filter+banks+and+wavelet+basesen_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.emailHo, KL:klho@eee.hku.hken_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.identifier.authorityHo, KL=rp00117en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1117/1.1288183en_HK
dc.identifier.scopuseid_2-s2.0-0034296163en_HK
dc.identifier.hkuros60482-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034296163&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue10en_HK
dc.identifier.spage2810en_HK
dc.identifier.epage2820en_HK
dc.identifier.isiWOS:000089954000029-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridMao, JS=7402727784en_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridHo, KL=7403581592en_HK

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