{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80754"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80754","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions","abstract":"We then study the MIMO sampling problem, where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is motivated from applications like multiuser communications and multiple source separation. MIMO sampling encompasses several sampling strategies as special cases, including multicoset sampling and Papoulis's generalized sampling. We derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for which we present reconstruction conditions. Finally, we address the problem of reconstruction FIR filter design, formulating it as a minimization and recasting as a standard semi-infinite linear program. Owing to the generality of the MIMO sampling scheme, the design algorithm readily applies to several sampling schemes for multiband signals.","abstract_html":"We then study the MIMO sampling problem, where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is motivated from applications like multiuser communications and multiple source separation. MIMO sampling encompasses several sampling strategies as special cases, including multicoset sampling and Papoulis's generalized sampling. We derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for which we present reconstruction conditions. Finally, we address the problem of reconstruction FIR filter design, formulating it as a minimization and recasting as a standard semi-infinite linear program. Owing to the generality of the MIMO sampling scheme, the design algorithm readily applies to several sampling schemes for multiband signals.","abstract_has_math":false,"creators":["Venkataramani, Raman C."],"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":"2015-09-25T20:08:00Z","date_published":"2015-09-25T20:08:00Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3030487"],"render_values":[{"text":"(MiAaPQ)AAI3030487","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80754","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":["Venkataramani, Raman C."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:08:00Z","10000-01-01","2001"]},{"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/2142/80754","(MiAaPQ)AAI3030487"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We then study the MIMO sampling problem, where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is motivated from applications like multiuser communications and multiple source separation. MIMO sampling encompasses several sampling strategies as special cases, including multicoset sampling and Papoulis's generalized sampling. We derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for which we present reconstruction conditions. Finally, we address the problem of reconstruction FIR filter design, formulating it as a minimization and recasting as a standard semi-infinite linear program. Owing to the generality of the MIMO sampling scheme, the design algorithm readily applies to several sampling schemes for multiband signals.","Made available in DSpace on 2015-09-25T20:08:00Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3030487.pdf: 7278302 bytes, checksum: f47276b2e79ce25204f62425ca08a294 (MD5) Previous issue date: 2001","Embargo set by: Seth Robbins for item 82036 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","162 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001."]},{"key":"dc:title","label":"Title","values":["Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions"]}]}],"canonical_facts":{"dc:contributor":["Bresler, Yoram"],"dc:creator":["Venkataramani, Raman C."],"dc:date":["2015-09-25T20:08:00Z","10000-01-01","2001"],"dc:description":["We then study the MIMO sampling problem, where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is motivated from applications like multiuser communications and multiple source separation. MIMO sampling encompasses several sampling strategies as special cases, including multicoset sampling and Papoulis's generalized sampling. We derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for which we present reconstruction conditions. Finally, we address the problem of reconstruction FIR filter design, formulating it as a minimization and recasting as a standard semi-infinite linear program. Owing to the generality of the MIMO sampling scheme, the design algorithm readily applies to several sampling schemes for multiband signals.","Made available in DSpace on 2015-09-25T20:08:00Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3030487.pdf: 7278302 bytes, checksum: f47276b2e79ce25204f62425ca08a294 (MD5) Previous issue date: 2001","Embargo set by: Seth Robbins for item 82036 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","162 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001."],"dc:identifier":["http://hdl.handle.net/2142/80754","(MiAaPQ)AAI3030487"],"dc:language":["eng"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions"],"dc:type":["text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:14Z"}