{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/5137"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/5137","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Constraints and invariance in target detection","abstract":"The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target location parameter, and a uniformly most powerful test developed for the reduced data. The test is compared with conventional solutions, and shown to be more powerfu. The difference however is slight, justifying the simpler formulations. This conclusion continues to hold even when additional unknown noise parameters are introduced.","abstract_html":"The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target location parameter, and a uniformly most powerful test developed for the reduced data. The test is compared with conventional solutions, and shown to be more powerfu. The difference however is slight, justifying the simpler formulations. This conclusion continues to hold even when additional unknown noise parameters are introduced.","abstract_has_math":false,"creators":["Nicolls, Frederick"],"institution":"Department of Electrical Engineering","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000","date_published":"2000","updated_at":"2026-07-22T22:23:10Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/5137","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Nicolls, Frederick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-07-31T10:54:16Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-07-31T10:54:16Z"]},{"key":"dc:date.issued","label":"Date","values":["2000"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Electrical Engineering"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/5137"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Bibliography: leaves 237-246."]},{"key":"dc:description.abstract","label":"Abstract","values":["The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target location parameter, and a uniformly most powerful test developed for the reduced data. The test is compared with conventional solutions, and shown to be more powerfu. The difference however is slight, justifying the simpler formulations. This conclusion continues to hold even when additional unknown noise parameters are introduced."]},{"key":"dc:title","label":"Title","values":["Constraints and invariance in target detection"]}]}],"canonical_facts":{"dc:creator":["Nicolls, Frederick"],"dc:date.accessioned":["2014-07-31T10:54:16Z"],"dc:date.available":["2014-07-31T10:54:16Z"],"dc:date.issued":["2000"],"dc:description":["Bibliography: leaves 237-246."],"dc:description.abstract":["The concept of invariance in hypothesis testing is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target location parameter, and a uniformly most powerful test developed for the reduced data. The test is compared with conventional solutions, and shown to be more powerfu. The difference however is slight, justifying the simpler formulations. This conclusion continues to hold even when additional unknown noise parameters are introduced."],"dc:identifier.uri":["http://hdl.handle.net/11427/5137"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Electrical Engineering"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Constraints and invariance in target detection"],"dc:type":["Doctoral Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-22T22:23:10Z"}