{"id":"https://openalex.org/W2153582908","doi":"https://doi.org/10.1109/cdc.2005.1583447","title":"Constrained Quadratic Minimizations for Signal Processing and Communications","display_name":"Constrained Quadratic Minimizations for Signal Processing and Communications","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2153582908","doi":"https://doi.org/10.1109/cdc.2005.1583447","mag":"2153582908"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028995727","display_name":"Ali Pezeshki","orcid":"https://orcid.org/0000-0002-7142-5685"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Pezeshki","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.L. Scharf","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Statistics, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Statistics, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050340708","display_name":"M. Lundberg","orcid":"https://orcid.org/0000-0002-3215-1001"},"institutions":[{"id":"https://openalex.org/I190632392","display_name":"Lule\u00e5 University of Technology","ror":"https://ror.org/016st3p78","country_code":"SE","type":"education","lineage":["https://openalex.org/I190632392"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"M. Lundberg","raw_affiliation_strings":["Department of Electrical Engineering, Lule\u00e5 University of Technology, Lulea, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Lule\u00e5 University of Technology, Lulea, Sweden","institution_ids":["https://openalex.org/I190632392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070385137","display_name":"Edwin K. P. Chong","orcid":"https://orcid.org/0000-0002-7622-4815"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E.K.P. Chong","raw_affiliation_strings":["Departments of Electrical and Computer Engineering and Mathematics, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Electrical and Computer Engineering and Mathematics, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3834,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68586027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7949","last_page":"7953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.7308115363121033},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.6962571144104004},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6941273212432861},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5183190107345581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4808674454689026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4595246911048889},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4341007173061371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42165905237197876},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.415463387966156},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41375795006752014},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.36998507380485535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3636976480484009},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.332027792930603},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11423942446708679}],"concepts":[{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.7308115363121033},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.6962571144104004},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6941273212432861},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5183190107345581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4808674454689026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4595246911048889},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4341007173061371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42165905237197876},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.415463387966156},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41375795006752014},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.36998507380485535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3636976480484009},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.332027792930603},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11423942446708679},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2005.1583447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.330.7791","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.7791","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.engr.colostate.edu/ece/faculty/scharf/pdf/journals/JD.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W25969852","https://openalex.org/W2006309149","https://openalex.org/W2101425297","https://openalex.org/W2101609516","https://openalex.org/W2110410210","https://openalex.org/W2120078534","https://openalex.org/W2122826800","https://openalex.org/W2130667916","https://openalex.org/W2135288797","https://openalex.org/W2150745344","https://openalex.org/W2159615764","https://openalex.org/W2165350939","https://openalex.org/W2167168611","https://openalex.org/W2797638056","https://openalex.org/W4300694379","https://openalex.org/W6601072471"],"related_works":["https://openalex.org/W4293088966","https://openalex.org/W2112847829","https://openalex.org/W1878408459","https://openalex.org/W4297407962","https://openalex.org/W2794009555","https://openalex.org/W2022619808","https://openalex.org/W2917463375","https://openalex.org/W2808715032","https://openalex.org/W1496670269","https://openalex.org/W2064249866"],"abstract_inverted_index":{"Constrained":[0],"minimization":[1],"problems":[2,53,74],"considered":[3],"here":[4],"arise":[5],"in":[6,21],"the":[7,22,49,62,91],"design":[8,23],"of":[9,24,42,72],"multi-dimensional":[10],"subspace":[11],"beamformers":[12],"for":[13,28,101],"radar,":[14],"sonar,":[15],"seismology,":[16],"and":[17,20,26,54,75,81],"wireless":[18],"communications,":[19],"precoders":[25],"equalizers":[27],"digital":[29],"communications.":[30],"The":[31],"problem":[32,64,89],"is":[33],"to":[34,51,85,113,118],"minimize":[35],"a":[36,40,70,78],"quadratic":[37,45],"form,":[38],"under":[39],"set":[41,71],"linear":[43,119],"or":[44],"constraints.":[46],"We":[47,59],"derive":[48],"solutions":[50],"these":[52],"establish":[55],"connections":[56],"between":[57],"them.":[58],"show":[60],"that":[61],"quadratically-constrained":[63,92],"can":[65],"be":[66],"solved":[67],"by":[68],"solving":[69],"linearly-constrained":[73,88],"then":[76],"using":[77],"majorization":[79],"argument":[80],"Poincare's":[82],"separation":[83],"theorem":[84],"determine":[86],"which":[87,110],"solves":[90],"one.":[93],"In":[94],"addition,":[95],"we":[96],"present":[97],"illuminating":[98],"circuit":[99],"diagrams":[100],"our":[102,115],"solutions,":[103],"called":[104],"generalized":[105],"sidelobe":[106],"canceller":[107],"(GSC)":[108],"diagrams,":[109],"allow":[111],"us":[112],"tie":[114],"constrained":[116],"minimizations":[117],"minimum":[120],"mean-squared":[121],"error":[122],"(LMMSE)":[123],"estimations.":[124]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}