Generalized linear-in-parameter models : theory and audio signal processing applications

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Paatero, Tuomas
dc.date.accessioned 2012-02-17T07:23:23Z
dc.date.available 2012-02-17T07:23:23Z
dc.date.issued 2005-11-25
dc.identifier.isbn 951-22-7964-9
dc.identifier.issn 1456-6303
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/2638
dc.description.abstract This thesis presents a mathematically oriented perspective to some basic concepts of digital signal processing. A general framework for the development of alternative signal and system representations is attained by defining a generalized linear-in-parameter model (GLM) configuration. The GLM provides a direct view into the origins of many familiar methods in signal processing, implying a variety of generalizations, and it serves as a natural introduction to rational orthonormal model structures. In particular, the conventional division between finite impulse response (FIR) and infinite impulse response (IIR) filtering methods is reconsidered. The latter part of the thesis consists of audio oriented case studies, including loudspeaker equalization, musical instrument body modeling, and room response modeling. The proposed collection of IIR filter design techniques is submitted to challenging modeling tasks. The most important practical contribution of this thesis is the introduction of a procedure for the optimization of rational orthonormal filter structures, called the BU-method. More generally, the BU-method and its variants, including the (complex) warped extension, the (C)WBU-method, can be consider as entirely new IIR filter design strategies. en
dc.format.extent 164
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Helsinki University of Technology en
dc.publisher Teknillinen korkeakoulu fi
dc.relation.ispartofseries Report / Helsinki University of Technology, Laboratory of Acoustics and Audio Signal Processing en
dc.relation.ispartofseries Raportti / Teknillinen korkeakoulu, Akustiikan ja äänenkäsittelytekniikan laboratorio fi
dc.relation.ispartofseries 75 en
dc.subject.other Electrical engineering en
dc.title Generalized linear-in-parameter models : theory and audio signal processing applications en
dc.type G4 Monografiaväitöskirja fi
dc.description.version reviewed en
dc.contributor.department Department of Electrical and Communications Engineering en
dc.contributor.department Sähkö- ja tietoliikennetekniikan osasto fi
dc.subject.keyword Hilbert spaces en
dc.subject.keyword conformal mappings en
dc.subject.keyword Kautz filters en
dc.subject.keyword frequency warping en
dc.subject.keyword pole-zero modeling en
dc.identifier.urn urn:nbn:fi:tkk-005985
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (monografia) fi
dc.type.ontasot Doctoral dissertation (monograph) en
dc.contributor.lab Laboratory of Acoustics and Audio Signal Processing en
dc.contributor.lab Akustiikan ja äänenkäsittelytekniikan laboratorio fi


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