{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/106102"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/106102","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Modeling and identification of time-varying systems - A wavelet approach","abstract":"The present work proposes a methodology for modeling and identification of boundedinput bounded-output (BIBO) time-varying (TV) system impulse responses based on a wavelet approach. This approach permits representation of a time-varying system impulse response in the auxiliary domains, commonly referred to as the transform domains. The latter includes the well-known discrete wavelet transform (DWT) as well as the pure frequency domains. This work is organized as follows. First, a norm is defined for BIBO time-varying system impulse responses, and the set of all BIBO systems is shown to be a Banach space with respect to the defined norm. Next, the problem of modeling the time domain system impulse responses in the transform domain is investigated. Three different but related transformations are discussed. Thirdly, the present work provides discussion on representing modeling uncertainties in both the time and the transform domain. The relations between two domains are discussed. System identification in the transform domain is also investigated in the present paper. Finally, based on modeling of system impulse responses, the system linking is proposed in pure transform domain. An example is provided to show the use of modeling uncertainty measures and transform domain system identification.","abstract_html":"The present work proposes a methodology for modeling and identification of boundedinput bounded-output (BIBO) time-varying (TV) system impulse responses based on a wavelet approach. This approach permits representation of a time-varying system impulse response in the auxiliary domains, commonly referred to as the transform domains. The latter includes the well-known discrete wavelet transform (DWT) as well as the pure frequency domains. This work is organized as follows. First, a norm is defined for BIBO time-varying system impulse responses, and the set of all BIBO systems is shown to be a Banach space with respect to the defined norm. Next, the problem of modeling the time domain system impulse responses in the transform domain is investigated. Three different but related transformations are discussed. Thirdly, the present work provides discussion on representing modeling uncertainties in both the time and the transform domain. The relations between two domains are discussed. System identification in the transform domain is also investigated in the present paper. Finally, based on modeling of system impulse responses, the system linking is proposed in pure transform domain. An example is provided to show the use of modeling uncertainty measures and transform domain system identification.","abstract_has_math":false,"creators":["Zhao, Haipeng"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S. (master's)","degree_level":null,"degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2020,"date_issued":"2020-02-06T16:33:23Z","date_published":"2020-02-06T16:33:23Z","updated_at":"2026-07-22T22:24:45Z","subjects":["Time-varying systems","Wavelet","Electrical engineering"],"languages":["en"],"rights":["Copyright 1999 Haipeng Zhao"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/106102","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Zhao, Haipeng"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2020-02-06T16:33:23Z","1999"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S. (master's)"]},{"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":["Time-varying systems","Wavelet","Electrical engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1999 Haipeng Zhao"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/106102"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The present work proposes a methodology for modeling and identification of boundedinput bounded-output (BIBO) time-varying (TV) system impulse responses based on a wavelet approach. This approach permits representation of a time-varying system impulse response in the auxiliary domains, commonly referred to as the transform domains. The latter includes the well-known discrete wavelet transform (DWT) as well as the pure frequency domains. This work is organized as follows. First, a norm is defined for BIBO time-varying system impulse responses, and the set of all BIBO systems is shown to be a Banach space with respect to the defined norm. Next, the problem of modeling the time domain system impulse responses in the transform domain is investigated. Three different but related transformations are discussed. Thirdly, the present work provides discussion on representing modeling uncertainties in both the time and the transform domain. The relations between two domains are discussed. System identification in the transform domain is also investigated in the present paper. Finally, based on modeling of system impulse responses, the system linking is proposed in pure transform domain. An example is provided to show the use of modeling uncertainty measures and transform domain system identification.","Open Restriction set for Item 113636 on 2020-02-06T16:25:59Z with date null by fschaef2@illinois.edu.","Submitted by Fernanda Schaefer (fschaef2@illinois.edu) on 2020-02-06T16:33:23Z No. of bitstreams: 1 4254475.pdf: 611825496 bytes, checksum: c0b88a98c6a5bc02d40f112c7047a12c (MD5)","Made available in DSpace on 2020-02-06T16:33:23Z (GMT). No. of bitstreams: 1 4254475.pdf: 611825496 bytes, checksum: c0b88a98c6a5bc02d40f112c7047a12c (MD5) Previous issue date: 1999","Open"]},{"key":"dc:title","label":"Title","values":["Modeling and identification of time-varying systems - A wavelet approach"]}]}],"canonical_facts":{"dc:creator":["Zhao, Haipeng"],"dc:date":["2020-02-06T16:33:23Z","1999"],"dc:description":["The present work proposes a methodology for modeling and identification of boundedinput bounded-output (BIBO) time-varying (TV) system impulse responses based on a wavelet approach. This approach permits representation of a time-varying system impulse response in the auxiliary domains, commonly referred to as the transform domains. The latter includes the well-known discrete wavelet transform (DWT) as well as the pure frequency domains. This work is organized as follows. First, a norm is defined for BIBO time-varying system impulse responses, and the set of all BIBO systems is shown to be a Banach space with respect to the defined norm. Next, the problem of modeling the time domain system impulse responses in the transform domain is investigated. Three different but related transformations are discussed. Thirdly, the present work provides discussion on representing modeling uncertainties in both the time and the transform domain. The relations between two domains are discussed. System identification in the transform domain is also investigated in the present paper. Finally, based on modeling of system impulse responses, the system linking is proposed in pure transform domain. An example is provided to show the use of modeling uncertainty measures and transform domain system identification.","Open Restriction set for Item 113636 on 2020-02-06T16:25:59Z with date null by fschaef2@illinois.edu.","Submitted by Fernanda Schaefer (fschaef2@illinois.edu) on 2020-02-06T16:33:23Z No. of bitstreams: 1 4254475.pdf: 611825496 bytes, checksum: c0b88a98c6a5bc02d40f112c7047a12c (MD5)","Made available in DSpace on 2020-02-06T16:33:23Z (GMT). No. of bitstreams: 1 4254475.pdf: 611825496 bytes, checksum: c0b88a98c6a5bc02d40f112c7047a12c (MD5) Previous issue date: 1999","Open"],"dc:identifier":["http://hdl.handle.net/2142/106102"],"dc:language":["en"],"dc:rights":["Copyright 1999 Haipeng Zhao"],"dc:subject":["Time-varying systems","Wavelet","Electrical engineering"],"dc:title":["Modeling and identification of time-varying systems - A wavelet approach"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_name":["M.S. (master's)"],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:45Z"}