{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81223"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81223","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Universal Minimum-Rate Sampling and Spectrum-Blind Reconstruction for Multiband Signals","abstract":"The dissertation includes three parts: (1) one-dimensional theory and design, (2) two-dimensional theory and design (which is readily extendable to higher dimensions), and (3) application to Fourier imaging. The proposed spectrum-blind sampling and reconstruction theory addresses issues like existence and optimal design of universal sampling patterns and their conditioning, algorithms and uniqueness conditions for optimal spectral support recovery, as well as algorithms, uniqueness conditions and other properties of signal reconstruction via a multiresolution approach. The investigations are conducted in the framework of the proposed multicoset sampling theory, employing a periodic nonuniform sampling pattern and noniterative multirate reconstruction schemes that combine the capability of nonuniform sampling and the ease of implementation of uniform sampling.","abstract_html":"The dissertation includes three parts: (1) one-dimensional theory and design, (2) two-dimensional theory and design (which is readily extendable to higher dimensions), and (3) application to Fourier imaging. The proposed spectrum-blind sampling and reconstruction theory addresses issues like existence and optimal design of universal sampling patterns and their conditioning, algorithms and uniqueness conditions for optimal spectral support recovery, as well as algorithms, uniqueness conditions and other properties of signal reconstruction via a multiresolution approach. The investigations are conducted in the framework of the proposed multicoset sampling theory, employing a periodic nonuniform sampling pattern and noniterative multirate reconstruction schemes that combine the capability of nonuniform sampling and the ease of implementation of uniform sampling.","abstract_has_math":false,"creators":["Feng, Ping"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Bresler, Yoram"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:10:07Z","date_published":"2015-09-25T20:10:07Z","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)AAI9834672"],"render_values":[{"text":"(MiAaPQ)AAI9834672","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/81223","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bresler, Yoram"]},{"key":"dc:creator","label":"Author","values":["Feng, Ping"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:10:07Z","10000-01-01","1998"]},{"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":["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/2142/81223","(MiAaPQ)AAI9834672"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The dissertation includes three parts: (1) one-dimensional theory and design, (2) two-dimensional theory and design (which is readily extendable to higher dimensions), and (3) application to Fourier imaging. 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