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Article: On the design and implementation of FIR and IIR digital filters with variable frequency characteristics

TitleOn the design and implementation of FIR and IIR digital filters with variable frequency characteristics
Authors
KeywordsDesign And Implementation
Finite-Impulse Response (Fir) Filters
Infinite-Impulse Response (Iir) Filters
Least Squares Design
Model Reduction
Multiplier Block
Variable Or Tunable Digital Filters
Issue Date2002
Citation
Ieee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2002, v. 49 n. 11, p. 689-703 How to Cite?
AbstractThis paper studies the design and implementation of finite-impulse response (FIR) and infinite-impulse response (IIR) variable digital filters (VDFs), whose frequency characteristics can be controlled continuously by some control or tuning parameters. A least squares (LS) approach is proposed for the design of FIR VDFs by expressing the impulse response of the filter as a linear combination of basis functions. It is shown that the optimal LS solution can be obtained by solving a system of linear equations. By choosing the basis functions as piecewise polynomials, VDFs with larger tuning range than that of ordinary polynomial based approach results. The proposed VDF can be efficiently implemented using the familiar Farrow structure. Making use of the FIR VDF so obtained, an Eigensystem Realization Algorithm (ERA)-based model reduction technique is proposed to approximate the FIR VDF by a stable IIR VDF with lower system order. The advantages of the model reduction approach are: 1) it is computational simple which only requires the computation of the singular value decomposition of a Hankel matrix; 2) the IIR VDF obtained is guaranteed to be stable; and 3) the frequency response such as the phase response of the FIR prototype is well preserved. Apart from the above advantages, the proposed IIR VDF does not suffer from undesirable transient response during parameter tuning found in other approaches based on direct tuning of filter parameters. For frequency selective VDFs, about 40% of the multiplications can be saved using the IIR VDFs. The implementation of the proposed FIR VDF using sum-of-powers-of-two (SOPOT) coefficient and the multiplier block (MB) technique are also studied. Results show that about two-third of the additions in implementing the multiplication of the SOPOT coefficients can be saved using the multiplier block, which leads to significant savings in hardware complexity.
Persistent Identifierhttp://hdl.handle.net/10722/155172
ISSN
2006 Impact Factor: 0.922
2007 SCImago Journal Rankings: 1.092
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorPun, CKSen_US
dc.contributor.authorChan, SCen_US
dc.contributor.authorYeung, KSen_US
dc.contributor.authorHo, KLen_US
dc.date.accessioned2012-08-08T08:32:10Z-
dc.date.available2012-08-08T08:32:10Z-
dc.date.issued2002en_US
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2002, v. 49 n. 11, p. 689-703en_US
dc.identifier.issn1057-7130en_US
dc.identifier.urihttp://hdl.handle.net/10722/155172-
dc.description.abstractThis paper studies the design and implementation of finite-impulse response (FIR) and infinite-impulse response (IIR) variable digital filters (VDFs), whose frequency characteristics can be controlled continuously by some control or tuning parameters. A least squares (LS) approach is proposed for the design of FIR VDFs by expressing the impulse response of the filter as a linear combination of basis functions. It is shown that the optimal LS solution can be obtained by solving a system of linear equations. By choosing the basis functions as piecewise polynomials, VDFs with larger tuning range than that of ordinary polynomial based approach results. The proposed VDF can be efficiently implemented using the familiar Farrow structure. Making use of the FIR VDF so obtained, an Eigensystem Realization Algorithm (ERA)-based model reduction technique is proposed to approximate the FIR VDF by a stable IIR VDF with lower system order. The advantages of the model reduction approach are: 1) it is computational simple which only requires the computation of the singular value decomposition of a Hankel matrix; 2) the IIR VDF obtained is guaranteed to be stable; and 3) the frequency response such as the phase response of the FIR prototype is well preserved. Apart from the above advantages, the proposed IIR VDF does not suffer from undesirable transient response during parameter tuning found in other approaches based on direct tuning of filter parameters. For frequency selective VDFs, about 40% of the multiplications can be saved using the IIR VDFs. The implementation of the proposed FIR VDF using sum-of-powers-of-two (SOPOT) coefficient and the multiplier block (MB) technique are also studied. Results show that about two-third of the additions in implementing the multiplication of the SOPOT coefficients can be saved using the multiplier block, which leads to significant savings in hardware complexity.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processingen_US
dc.subjectDesign And Implementationen_US
dc.subjectFinite-Impulse Response (Fir) Filtersen_US
dc.subjectInfinite-Impulse Response (Iir) Filtersen_US
dc.subjectLeast Squares Designen_US
dc.subjectModel Reductionen_US
dc.subjectMultiplier Blocken_US
dc.subjectVariable Or Tunable Digital Filtersen_US
dc.titleOn the design and implementation of FIR and IIR digital filters with variable frequency characteristicsen_US
dc.typeArticleen_US
dc.identifier.emailChan, SC:scchan@eee.hku.hken_US
dc.identifier.emailHo, KL:klho@eee.hku.hken_US
dc.identifier.authorityChan, SC=rp00094en_US
dc.identifier.authorityHo, KL=rp00117en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TCSII.2002.807574en_US
dc.identifier.scopuseid_2-s2.0-0036881898en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036881898&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue11en_US
dc.identifier.spage689en_US
dc.identifier.epage703en_US
dc.identifier.isiWOS:000180979300001-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridPun, CKS=7003931849en_US
dc.identifier.scopusauthoridChan, SC=13310287100en_US
dc.identifier.scopusauthoridYeung, KS=7202425050en_US
dc.identifier.scopusauthoridHo, KL=7403581592en_US

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