{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/18444"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/18444","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Least-Squares Approximation and Polyphase Decomposition for Pipelining Recursive filters","abstract":"Current techniques used in pipelining recursive filters require high hardware complexity. These techniques attempt to preserve the exact frequency response of the original circuit while seeking to construct a pipelined architecture. We present a technique that relaxes the need to preserve the exact frequency response and instead considers a least-squares formulation in conjunction with the pipelined architecture. The benefit of this design is that it reduces the complexity of the pipelined circuit immensely, while enabling a simple pipelined architecture based on a polyphase decomposition of the original filter.","abstract_html":"Current techniques used in pipelining recursive filters require high hardware complexity. These techniques attempt to preserve the exact frequency response of the original circuit while seeking to construct a pipelined architecture. We present a technique that relaxes the need to preserve the exact frequency response and instead considers a least-squares formulation in conjunction with the pipelined architecture. The benefit of this design is that it reduces the complexity of the pipelined circuit immensely, while enabling a simple pipelined architecture based on a polyphase decomposition of the original filter.","abstract_has_math":false,"creators":["Gupta, Aditya"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Singer, Andrew C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-14T22:51:08Z","date_published":"2011-01-14T22:51:08Z","updated_at":"2026-07-22T22:25:11Z","subjects":["Prony's Method","Polyphase decomposition","In nite-length impulse response (IIR) approximation"],"languages":["en"],"rights":["Copyright 2010 Aditya Gupta"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/18444","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Singer, Andrew C."]},{"key":"dc:creator","label":"Author","values":["Gupta, Aditya"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-01-14T22:51:08Z","2010-12"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.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":["Prony's Method","Polyphase decomposition","In nite-length impulse response (IIR) approximation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Aditya Gupta"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/18444"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Current techniques used in pipelining recursive filters require high hardware complexity. 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