{"id":"https://openalex.org/W2145714281","doi":"https://doi.org/10.1109/tit.1968.1054122","title":"A contribution to the signal-design problem for incoherent-phase communication systems","display_name":"A contribution to the signal-design problem for incoherent-phase communication systems","publication_year":1968,"publication_date":"1968-03-01","ids":{"openalex":"https://openalex.org/W2145714281","doi":"https://doi.org/10.1109/tit.1968.1054122","mag":"2145714281"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054122","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5012406057","display_name":"C. Weber","orcid":"https://orcid.org/0009-0001-1643-2591"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Weber","raw_affiliation_strings":["Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012406057"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":3.9242,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.93260188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"2","first_page":"306","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9987000226974487,"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/T11946","display_name":"Antenna Design and Optimization","score":0.9984999895095825,"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/algorithm","display_name":"Algorithm","score":0.5703140497207642},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5277895331382751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4997072219848633},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.49120181798934937},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4723312258720398},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4703804552555084},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4261245131492615},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4254133701324463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42072370648384094},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41390717029571533},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3645029366016388},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2802938222885132},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24793675541877747},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18470332026481628}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5703140497207642},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5277895331382751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4997072219848633},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.49120181798934937},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4723312258720398},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4703804552555084},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4261245131492615},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4254133701324463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42072370648384094},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41390717029571533},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3645029366016388},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2802938222885132},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24793675541877747},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18470332026481628},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054122","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2067111814","https://openalex.org/W2074788204","https://openalex.org/W2091070123","https://openalex.org/W2131064187","https://openalex.org/W2158683131","https://openalex.org/W2163072677","https://openalex.org/W4240906956"],"related_works":["https://openalex.org/W4296209631","https://openalex.org/W2063021680","https://openalex.org/W2135584473","https://openalex.org/W2101505280","https://openalex.org/W2561617217","https://openalex.org/W2964223869","https://openalex.org/W2792539140","https://openalex.org/W2357922472","https://openalex.org/W2005808740","https://openalex.org/W88330805"],"abstract_inverted_index":{"In":[0],"a":[1,4],"previous":[2,59,86],"study,":[3],"general":[5],"expression":[6,60],"for":[7,13,54,84],"the":[8,14,22,44,51,71,85,93,100,115,127],"detection":[9],"probability":[10,53,94],"was":[11],"given":[12],"transmission":[15],"of":[16,95,114],"an":[17],"arbitraryM-ary":[18],"signaling":[19],"alphabet":[20],"through":[21],"incoherent-phase":[23],"channel":[24],"which":[25,65],"adds":[26],"white":[27],"Gaussian":[28],"noise.":[29],"Necessary":[30],"and":[31,74],"sufficient":[32],"conditions":[33,89],"were":[34],"obtained":[35,117],"demonstrating":[36],"that":[37,82],"with":[38,124],"no":[39],"dimensionality":[40,73,106],"or":[41],"bandwidth":[42,75],"restrictions,":[43],"incoherent":[45],"orthogonal":[46],"signal":[47,72],"structure":[48],"locally":[49,91],"minimizes":[50],"error":[52,96],"all":[55],"signal-to-noise":[56],"ratios.":[57],"The":[58,112],"is":[61,67,107,118],"improved":[62],"herein,":[63],"from":[64],"it":[66],"verified":[68],"that,":[69],"when":[70],"are":[76,97],"restricted":[77],"to":[78,90],"be":[79],"less":[80],"than":[81],"necessary":[83,88],"optimum,":[87],"extremize":[92],"satisfied":[98],"by":[99],"signal-waveform":[101],"inner":[102],"product":[103],"matrix":[104,123],"whose":[105],"as":[108,110],"large":[109],"possible.":[111],"form":[113],"solution":[116],"a2":[119],"\\times":[120],"2block":[121],"diagonal":[122],"each":[125],"block":[126],"regular":[128],"simplex":[129],"inner-product":[130],"matrix.":[131]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}