{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80710"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80710","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Shape Up: Peak -Power Reduction via Constellation Shaping","abstract":"For high rate systems, the hyperspherical and hyperdiamond shaping reduce the unclipped peak power by 5 to 7 dB with no loss of data rate and with a symbol error rate that is virtually identical to that of conventional systems. With a clipping rate of 10-8, they still provide up to 2.8 dB of peak-power reduction. Algebraic shaping reduces the unclipped peak power by 8 to 10 dB and about 2.9 dB at a clipping rate of 10-8 for 16-channel systems. Moreover, algebraic shaping asymptotically provides an unlimited amount of peak-power reduction as the number of channels and the constellation size increase. It also approaches the PAR characteristics of a single-carrier system (such as QAM or PAM) as the number of constellation points per channel increases. In addition, we present an O( N log2N) algorithm using a discrete Hadamard transform-based OFDM and introduce a method for incorporating arbitrary lattice codes inside the shaped boundary.","abstract_html":"For high rate systems, the hyperspherical and hyperdiamond shaping reduce the unclipped peak power by 5 to 7 dB with no loss of data rate and with a symbol error rate that is virtually identical to that of conventional systems. With a clipping rate of 10-8, they still provide up to 2.8 dB of peak-power reduction. Algebraic shaping reduces the unclipped peak power by 8 to 10 dB and about 2.9 dB at a clipping rate of 10-8 for 16-channel systems. Moreover, algebraic shaping asymptotically provides an unlimited amount of peak-power reduction as the number of channels and the constellation size increase. It also approaches the PAR characteristics of a single-carrier system (such as QAM or PAM) as the number of constellation points per channel increases. In addition, we present an O( N log2N) algorithm using a discrete Hadamard transform-based OFDM and introduce a method for incorporating arbitrary lattice codes inside the shaped boundary.","abstract_has_math":false,"creators":["Kwok, Henry K."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Douglas Jones"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:07:45Z","date_published":"2015-09-25T20:07:45Z","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)AAI3017136"],"render_values":[{"text":"(MiAaPQ)AAI3017136","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80710","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Douglas Jones"]},{"key":"dc:creator","label":"Author","values":["Kwok, Henry K."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:07:45Z","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/2142/80710","(MiAaPQ)AAI3017136"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["For high rate systems, the hyperspherical and hyperdiamond shaping reduce the unclipped peak power by 5 to 7 dB with no loss of data rate and with a symbol error rate that is virtually identical to that of conventional systems. With a clipping rate of 10-8, they still provide up to 2.8 dB of peak-power reduction. Algebraic shaping reduces the unclipped peak power by 8 to 10 dB and about 2.9 dB at a clipping rate of 10-8 for 16-channel systems. Moreover, algebraic shaping asymptotically provides an unlimited amount of peak-power reduction as the number of channels and the constellation size increase. It also approaches the PAR characteristics of a single-carrier system (such as QAM or PAM) as the number of constellation points per channel increases. In addition, we present an O( N log2N) algorithm using a discrete Hadamard transform-based OFDM and introduce a method for incorporating arbitrary lattice codes inside the shaped boundary.","Made available in DSpace on 2015-09-25T20:07:45Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3017136.pdf: 3900709 bytes, checksum: 37dcf7df7ae0d8d9211b2eb558710386 (MD5) Previous issue date: 2001","Embargo set by: Seth Robbins for item 81992 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","111 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001."]},{"key":"dc:title","label":"Title","values":["Shape Up: Peak -Power Reduction via Constellation Shaping"]}]}],"canonical_facts":{"dc:contributor":["Douglas Jones"],"dc:creator":["Kwok, Henry K."],"dc:date":["2015-09-25T20:07:45Z","10000-01-01","2001"],"dc:description":["For high rate systems, the hyperspherical and hyperdiamond shaping reduce the unclipped peak power by 5 to 7 dB with no loss of data rate and with a symbol error rate that is virtually identical to that of conventional systems. With a clipping rate of 10-8, they still provide up to 2.8 dB of peak-power reduction. Algebraic shaping reduces the unclipped peak power by 8 to 10 dB and about 2.9 dB at a clipping rate of 10-8 for 16-channel systems. Moreover, algebraic shaping asymptotically provides an unlimited amount of peak-power reduction as the number of channels and the constellation size increase. It also approaches the PAR characteristics of a single-carrier system (such as QAM or PAM) as the number of constellation points per channel increases. In addition, we present an O( N log2N) algorithm using a discrete Hadamard transform-based OFDM and introduce a method for incorporating arbitrary lattice codes inside the shaped boundary.","Made available in DSpace on 2015-09-25T20:07:45Z (GMT). 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