{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81173"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81173","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Model-Order Reduction Techniques for Circuits and Interconnects Simulation","abstract":"The basic goal of this dissertation is to extend the use of order-reduction techniques as accurate methods for analyzing complex electronic systems. The theoretical and practical aspects of moment-matching, Krylov subspace-based methods, and rational approximations techniques are studied. The moment-matching techniques are directly applied to p-n junction device equations to accurately model the carrier dynamic in the junctions. A robust approximation technique that uses Householder orthoganalization techniques is developed to generate macromodels of electromagnetic systems, such as frequency-dependent coupled transmission lines. A pole-clustering technique with inverse distance-measure criterion is used to further reduce the models. This allows the efficient accurate simulation of frequency-dependent coupled transmission lines characterized by scattering parameters and an optimal reference system. The heterogeneous reduction techniques are woven into a unified method by using network partitioning techniques. Recursive convolution is used to speedup the transient simulation. The method does not suffer from aliasing or round-off errors caused by nonband-limited frequency responses, nor by numerical transforms of a large number of points, respectively.","abstract_html":"The basic goal of this dissertation is to extend the use of order-reduction techniques as accurate methods for analyzing complex electronic systems. The theoretical and practical aspects of moment-matching, Krylov subspace-based methods, and rational approximations techniques are studied. The moment-matching techniques are directly applied to p-n junction device equations to accurately model the carrier dynamic in the junctions. A robust approximation technique that uses Householder orthoganalization techniques is developed to generate macromodels of electromagnetic systems, such as frequency-dependent coupled transmission lines. A pole-clustering technique with inverse distance-measure criterion is used to further reduce the models. This allows the efficient accurate simulation of frequency-dependent coupled transmission lines characterized by scattering parameters and an optimal reference system. The heterogeneous reduction techniques are woven into a unified method by using network partitioning techniques. Recursive convolution is used to speedup the transient simulation. The method does not suffer from aliasing or round-off errors caused by nonband-limited frequency responses, nor by numerical transforms of a large number of points, respectively.","abstract_has_math":false,"creators":["Beyene, Wendemagegnehu Tsegaye"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Schutt-Ainé, José E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:09:54Z","date_published":"2015-09-25T20:09:54Z","updated_at":"2026-07-22T22:26:15Z","subjects":["Mathematics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9737051"],"render_values":[{"text":"(MiAaPQ)AAI9737051","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/81173","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Schutt-Ainé, José E."]},{"key":"dc:creator","label":"Author","values":["Beyene, Wendemagegnehu Tsegaye"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:09:54Z","10000-01-01","1997"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/81173","(MiAaPQ)AAI9737051"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The basic goal of this dissertation is to extend the use of order-reduction techniques as accurate methods for analyzing complex electronic systems. The theoretical and practical aspects of moment-matching, Krylov subspace-based methods, and rational approximations techniques are studied. The moment-matching techniques are directly applied to p-n junction device equations to accurately model the carrier dynamic in the junctions. A robust approximation technique that uses Householder orthoganalization techniques is developed to generate macromodels of electromagnetic systems, such as frequency-dependent coupled transmission lines. A pole-clustering technique with inverse distance-measure criterion is used to further reduce the models. This allows the efficient accurate simulation of frequency-dependent coupled transmission lines characterized by scattering parameters and an optimal reference system. The heterogeneous reduction techniques are woven into a unified method by using network partitioning techniques. Recursive convolution is used to speedup the transient simulation. 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No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9737051.pdf: 5831310 bytes, checksum: 3ff4a5440d8ab23017a78e965df26a7e (MD5) Previous issue date: 1997","Embargo set by: Seth Robbins for item 82454 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","147 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997."]},{"key":"dc:title","label":"Title","values":["Model-Order Reduction Techniques for Circuits and Interconnects Simulation"]}]}],"canonical_facts":{"dc:contributor":["Schutt-Ainé, José E."],"dc:creator":["Beyene, Wendemagegnehu Tsegaye"],"dc:date":["2015-09-25T20:09:54Z","10000-01-01","1997"],"dc:description":["The basic goal of this dissertation is to extend the use of order-reduction techniques as accurate methods for analyzing complex electronic systems. The theoretical and practical aspects of moment-matching, Krylov subspace-based methods, and rational approximations techniques are studied. The moment-matching techniques are directly applied to p-n junction device equations to accurately model the carrier dynamic in the junctions. A robust approximation technique that uses Householder orthoganalization techniques is developed to generate macromodels of electromagnetic systems, such as frequency-dependent coupled transmission lines. A pole-clustering technique with inverse distance-measure criterion is used to further reduce the models. This allows the efficient accurate simulation of frequency-dependent coupled transmission lines characterized by scattering parameters and an optimal reference system. The heterogeneous reduction techniques are woven into a unified method by using network partitioning techniques. Recursive convolution is used to speedup the transient simulation. 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