{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80812"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80812","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Topics in CT and SAR Imaging: Fast Back -Projection Algorithms and Optimal Antenna Spacings","abstract":"Another study is motivated by the investigation of the phase unwrapping problem in 3-D SAR imaging. In this thesis, we study the optimal antenna spacings for pointwise terrain height estimation. In particular, we start from the maximum likelihood estimates of the terrain height. The ambiguous terrain height derived from any pair of antennas is modeled by a periodic waveform with each period having a Gaussian shape. For multiple pairs of antennas, the corresponding waveforms have different periods, which helps resolve the ambiguity. For the three-antenna case, a closed-form formula approximating the mean squared error (MSE) of the estimated terrain height is derived as a function of antenna spacing. By minimizing the MSE, we determine the optimal antenna spacing. The algorithm is tested with simulated data.","abstract_html":"Another study is motivated by the investigation of the phase unwrapping problem in 3-D SAR imaging. In this thesis, we study the optimal antenna spacings for pointwise terrain height estimation. In particular, we start from the maximum likelihood estimates of the terrain height. The ambiguous terrain height derived from any pair of antennas is modeled by a periodic waveform with each period having a Gaussian shape. For multiple pairs of antennas, the corresponding waveforms have different periods, which helps resolve the ambiguity. For the three-antenna case, a closed-form formula approximating the mean squared error (MSE) of the estimated terrain height is derived as a function of antenna spacing. By minimizing the MSE, we determine the optimal antenna spacing. The algorithm is tested with simulated data.","abstract_has_math":false,"creators":["Xiao, Shu"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Munson, David C., Jr."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:08:17Z","date_published":"2015-09-25T20:08:17Z","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)AAI3070566"],"render_values":[{"text":"(MiAaPQ)AAI3070566","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80812","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Munson, David C., Jr."]},{"key":"dc:creator","label":"Author","values":["Xiao, Shu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:08:17Z","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/2142/80812","(MiAaPQ)AAI3070566"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Another study is motivated by the investigation of the phase unwrapping problem in 3-D SAR imaging. 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In this thesis, we study the optimal antenna spacings for pointwise terrain height estimation. In particular, we start from the maximum likelihood estimates of the terrain height. The ambiguous terrain height derived from any pair of antennas is modeled by a periodic waveform with each period having a Gaussian shape. For multiple pairs of antennas, the corresponding waveforms have different periods, which helps resolve the ambiguity. For the three-antenna case, a closed-form formula approximating the mean squared error (MSE) of the estimated terrain height is derived as a function of antenna spacing. By minimizing the MSE, we determine the optimal antenna spacing. The algorithm is tested with simulated data.","Made available in DSpace on 2015-09-25T20:08:17Z (GMT). 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