{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80772"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80772","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Digital Pulse Width Modulation: Analysis, Algorithms, and Applications","abstract":"When the input to a PWM modulator is a sequence of uniformly spaced samples of the original signal, the resulting uniform-sampling PWM signal has high distortion. It is possible to eliminate the distortion completely by converting the uniform-sampling input sequence into a natural-sampling sequence before applying it to the PWM modulator. In this thesis, it is shown that it is possible to express the natural-sampling sequence exactly in terms of the derivatives of the input signal raised to various powers. Since the input signal is known only through its sample values, numerical methods are used to devise high-accuracy, low-computational-complexity, methods for computing the natural-sampling sequence from the uniform-sampling sequence. To simplify the implementation of real applications, the noise shaping technique is employed to reduce the resolution of quantization without compromising the signal to quantization noise ratio.","abstract_html":"When the input to a PWM modulator is a sequence of uniformly spaced samples of the original signal, the resulting uniform-sampling PWM signal has high distortion. It is possible to eliminate the distortion completely by converting the uniform-sampling input sequence into a natural-sampling sequence before applying it to the PWM modulator. In this thesis, it is shown that it is possible to express the natural-sampling sequence exactly in terms of the derivatives of the input signal raised to various powers. Since the input signal is known only through its sample values, numerical methods are used to devise high-accuracy, low-computational-complexity, methods for computing the natural-sampling sequence from the uniform-sampling sequence. To simplify the implementation of real applications, the noise shaping technique is employed to reduce the resolution of quantization without compromising the signal to quantization noise ratio.","abstract_has_math":false,"creators":["Song, Zukui"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Sarwate, Dilip V."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:08:05Z","date_published":"2015-09-25T20:08:05Z","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)AAI3044230"],"render_values":[{"text":"(MiAaPQ)AAI3044230","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80772","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sarwate, Dilip V."]},{"key":"dc:creator","label":"Author","values":["Song, Zukui"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:08:05Z","10000-01-01","2002"]},{"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/2142/80772","(MiAaPQ)AAI3044230"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["When the input to a PWM modulator is a sequence of uniformly spaced samples of the original signal, the resulting uniform-sampling PWM signal has high distortion. 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It is possible to eliminate the distortion completely by converting the uniform-sampling input sequence into a natural-sampling sequence before applying it to the PWM modulator. In this thesis, it is shown that it is possible to express the natural-sampling sequence exactly in terms of the derivatives of the input signal raised to various powers. Since the input signal is known only through its sample values, numerical methods are used to devise high-accuracy, low-computational-complexity, methods for computing the natural-sampling sequence from the uniform-sampling sequence. To simplify the implementation of real applications, the noise shaping technique is employed to reduce the resolution of quantization without compromising the signal to quantization noise ratio.","Made available in DSpace on 2015-09-25T20:08:05Z (GMT). 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