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Article: New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases
Title | New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases |
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Authors | |
Keywords | Filter bank Wavelet Causal stable Iir Perfect reconstruction |
Issue Date | 2000 |
Publisher | S 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? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/42828 |
ISSN | 2023 Impact Factor: 1.1 2023 SCImago Journal Rankings: 0.331 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mao, JS | en_HK |
dc.contributor.author | Chan, SC | en_HK |
dc.contributor.author | Ho, KL | en_HK |
dc.date.accessioned | 2007-03-23T04:32:57Z | - |
dc.date.available | 2007-03-23T04:32:57Z | - |
dc.date.issued | 2000 | en_HK |
dc.identifier.citation | Optical Engineering, 2000, v. 39 n. 10, p. 2810-2820 | en_HK |
dc.identifier.issn | 0091-3286 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/42828 | - |
dc.description.abstract | A 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.extent | 187466 bytes | - |
dc.format.extent | 25088 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | S P I E - International Society for Optical Engineering. The Journal's web site is located at http://www.spie.org/oe | en_HK |
dc.relation.ispartof | Optical Engineering | en_HK |
dc.rights | Copyright 2000 Society of Photo‑Optical Instrumentation Engineers (SPIE). One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this publication for a fee or for commercial purposes, and modification of the contents of the publication are prohibited. This article is available online at https://doi.org/10.1117/1.1288183 | - |
dc.subject | Filter bank | en_HK |
dc.subject | Wavelet | en_HK |
dc.subject | Causal stable | en_HK |
dc.subject | Iir | en_HK |
dc.subject | Perfect reconstruction | en_HK |
dc.title | New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+bases | en_HK |
dc.identifier.email | Chan, SC:scchan@eee.hku.hk | en_HK |
dc.identifier.email | Ho, KL:klho@eee.hku.hk | en_HK |
dc.identifier.authority | Chan, SC=rp00094 | en_HK |
dc.identifier.authority | Ho, KL=rp00117 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1117/1.1288183 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0034296163 | en_HK |
dc.identifier.hkuros | 60482 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0034296163&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 39 | en_HK |
dc.identifier.issue | 10 | en_HK |
dc.identifier.spage | 2810 | en_HK |
dc.identifier.epage | 2820 | en_HK |
dc.identifier.isi | WOS:000089954000029 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Mao, JS=7402727784 | en_HK |
dc.identifier.scopusauthorid | Chan, SC=13310287100 | en_HK |
dc.identifier.scopusauthorid | Ho, KL=7403581592 | en_HK |
dc.identifier.issnl | 0091-3286 | - |