{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81084"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81084","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Passive Rational Fitting of a Passive Network Transfer Function From Its Real Part","abstract":"A methodology is presented to generate a rational function approximation of a passive network transfer function that makes use of sampled values of the transfer function's real part at a set of frequencies over the bandwidth of interest. For passive networks, real-part sufficiency describes the fact that the self and mutual impedance or admittance is uniquely defined in terms of the real part of the transfer function alone. Exploiting this property, we first demonstrate a methodology for the passive rational fitting of the self-impedance of a passive network. This is followed by the extension of the proposed methodology to the passive rational fitting of mutual impedances. Unlike other methodologies available, our methodology attempts to enforce passivity of the rational function by construction. Additionally, each of the elements of the matrix are fit independently in order to improve the numerical robustness and accuracy since the fitting is not restricted to a common set of stable poles. The accuracy and validity of the proposed methodology are demonstrated through their application to the fitting of several broadband, multiport transfer functions.","abstract_html":"A methodology is presented to generate a rational function approximation of a passive network transfer function that makes use of sampled values of the transfer function's real part at a set of frequencies over the bandwidth of interest. For passive networks, real-part sufficiency describes the fact that the self and mutual impedance or admittance is uniquely defined in terms of the real part of the transfer function alone. Exploiting this property, we first demonstrate a methodology for the passive rational fitting of the self-impedance of a passive network. This is followed by the extension of the proposed methodology to the passive rational fitting of mutual impedances. Unlike other methodologies available, our methodology attempts to enforce passivity of the rational function by construction. Additionally, each of the elements of the matrix are fit independently in order to improve the numerical robustness and accuracy since the fitting is not restricted to a common set of stable poles. The accuracy and validity of the proposed methodology are demonstrated through their application to the fitting of several broadband, multiport transfer functions.","abstract_has_math":false,"creators":["Woo, Anne Yuen-Ka"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical and Computer Engineering","degree_department":null,"school":null,"contributors":["Cangellaris, Andreas C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:09:32Z","date_published":"2015-09-25T20:09:32Z","updated_at":"2026-07-22T22:26:15Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3314939"],"render_values":[{"text":"(MiAaPQ)AAI3314939","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/81084","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Cangellaris, Andreas C."]},{"key":"dc:creator","label":"Author","values":["Woo, Anne Yuen-Ka"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:09:32Z","10000-01-01","2008"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical and Computer 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":["Engineering, Electronics and Electrical"]}]},{"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/2142/81084","(MiAaPQ)AAI3314939"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A methodology is presented to generate a rational function approximation of a passive network transfer function that makes use of sampled values of the transfer function's real part at a set of frequencies over the bandwidth of interest. For passive networks, real-part sufficiency describes the fact that the self and mutual impedance or admittance is uniquely defined in terms of the real part of the transfer function alone. Exploiting this property, we first demonstrate a methodology for the passive rational fitting of the self-impedance of a passive network. This is followed by the extension of the proposed methodology to the passive rational fitting of mutual impedances. Unlike other methodologies available, our methodology attempts to enforce passivity of the rational function by construction. Additionally, each of the elements of the matrix are fit independently in order to improve the numerical robustness and accuracy since the fitting is not restricted to a common set of stable poles. The accuracy and validity of the proposed methodology are demonstrated through their application to the fitting of several broadband, multiport transfer functions.","Made available in DSpace on 2015-09-25T20:09:32Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3314939.pdf: 1793744 bytes, checksum: 1e29286cd5e71e842223cbb0536fee5b (MD5) Previous issue date: 2008","Embargo set by: Seth Robbins for item 82366 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","127 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008."]},{"key":"dc:title","label":"Title","values":["Passive Rational Fitting of a Passive Network Transfer Function From Its Real Part"]}]}],"canonical_facts":{"dc:contributor":["Cangellaris, Andreas C."],"dc:creator":["Woo, Anne Yuen-Ka"],"dc:date":["2015-09-25T20:09:32Z","10000-01-01","2008"],"dc:description":["A methodology is presented to generate a rational function approximation of a passive network transfer function that makes use of sampled values of the transfer function's real part at a set of frequencies over the bandwidth of interest. For passive networks, real-part sufficiency describes the fact that the self and mutual impedance or admittance is uniquely defined in terms of the real part of the transfer function alone. Exploiting this property, we first demonstrate a methodology for the passive rational fitting of the self-impedance of a passive network. This is followed by the extension of the proposed methodology to the passive rational fitting of mutual impedances. Unlike other methodologies available, our methodology attempts to enforce passivity of the rational function by construction. Additionally, each of the elements of the matrix are fit independently in order to improve the numerical robustness and accuracy since the fitting is not restricted to a common set of stable poles. The accuracy and validity of the proposed methodology are demonstrated through their application to the fitting of several broadband, multiport transfer functions.","Made available in DSpace on 2015-09-25T20:09:32Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3314939.pdf: 1793744 bytes, checksum: 1e29286cd5e71e842223cbb0536fee5b (MD5) Previous issue date: 2008","Embargo set by: Seth Robbins for item 82366 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","127 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008."],"dc:identifier":["http://hdl.handle.net/2142/81084","(MiAaPQ)AAI3314939"],"dc:language":["eng"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Passive Rational Fitting of a Passive Network Transfer Function From Its Real Part"],"dc:type":["text"],"thesis:degree_discipline":["Electrical and Computer Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:15Z"}