{"id":"https://openalex.org/W4401694213","doi":"https://doi.org/10.1109/isit57864.2024.10619699","title":"On $2\\times 2$ MIMO Gaussian Channels with a Small Discrete-Time Peak-Power Constraint","display_name":"On $2\\times 2$ MIMO Gaussian Channels with a Small Discrete-Time Peak-Power Constraint","publication_year":2024,"publication_date":"2024-07-07","ids":{"openalex":"https://openalex.org/W4401694213","doi":"https://doi.org/10.1109/isit57864.2024.10619699"},"language":"en","primary_location":{"id":"doi:10.1109/isit57864.2024.10619699","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://re.public.polimi.it/bitstream/11311/1276567/1/MIMO_2x2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066257035","display_name":"Alex Dytso","orcid":"https://orcid.org/0000-0003-0625-5306"},"institutions":[{"id":"https://openalex.org/I4210087596","display_name":"Qualcomm (United States)","ror":"https://ror.org/002zrf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210087596"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alex Dytso","raw_affiliation_strings":["Qualcomm Flarion Technologies,Bridgewater,NJ,USA,08807"],"affiliations":[{"raw_affiliation_string":"Qualcomm Flarion Technologies,Bridgewater,NJ,USA,08807","institution_ids":["https://openalex.org/I4210087596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054111453","display_name":"Luca Barletta","orcid":"https://orcid.org/0000-0003-4052-2092"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Barletta","raw_affiliation_strings":["Politecnico di Milano,Milano,Italy,20133"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano,Milano,Italy,20133","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047591578","display_name":"Gerhard Kramer","orcid":"https://orcid.org/0000-0002-3904-9181"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Kramer","raw_affiliation_strings":["Technical University of Munich,Munich,Germany,80333"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich,Munich,Germany,80333","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066257035"],"corresponding_institution_ids":["https://openalex.org/I4210087596"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10740407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2365","last_page":"2370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9911999702453613,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9911999702453613,"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/T11932","display_name":"Wireless Body Area Networks","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.61847984790802},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5630058646202087},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5022628307342529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49713900685310364},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.43747660517692566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.344106525182724},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3225480914115906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26672136783599854},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.2106410264968872},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18893101811408997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.137533038854599},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08737754821777344}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.61847984790802},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5630058646202087},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5022628307342529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49713900685310364},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.43747660517692566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.344106525182724},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3225480914115906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26672136783599854},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.2106410264968872},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18893101811408997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.137533038854599},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08737754821777344},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit57864.2024.10619699","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1276567","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1276567","pdf_url":"https://re.public.polimi.it/bitstream/11311/1276567/1/MIMO_2x2.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1276567","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1276567","pdf_url":"https://re.public.polimi.it/bitstream/11311/1276567/1/MIMO_2x2.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.5299999713897705,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401694213.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1590636096","https://openalex.org/W1965797870","https://openalex.org/W1982804608","https://openalex.org/W2031724611","https://openalex.org/W2105204872","https://openalex.org/W2127131948","https://openalex.org/W2154750699","https://openalex.org/W2164714023","https://openalex.org/W2400075630","https://openalex.org/W2565206597","https://openalex.org/W2745039201","https://openalex.org/W2916365157","https://openalex.org/W2963856646","https://openalex.org/W2963918213","https://openalex.org/W2964018106","https://openalex.org/W2964273258","https://openalex.org/W2982157847","https://openalex.org/W3198540165","https://openalex.org/W3215525899","https://openalex.org/W4235657015","https://openalex.org/W4300840296","https://openalex.org/W4310902910","https://openalex.org/W4312473437","https://openalex.org/W4385665207","https://openalex.org/W4388321923"],"related_works":["https://openalex.org/W2545343974","https://openalex.org/W4291895924","https://openalex.org/W1783583321","https://openalex.org/W2038397443","https://openalex.org/W2941374357","https://openalex.org/W2026727497","https://openalex.org/W4388520214","https://openalex.org/W2164866798","https://openalex.org/W1976502299","https://openalex.org/W2088459095"],"abstract_inverted_index":{"A":[0,86],"multi-input":[1],"multi-output":[2],"(MIMO)":[3],"Gaussian":[4],"chan-nel":[5],"with":[6,45,59],"two":[7,11],"transmit":[8],"antennas":[9,13],"and":[10,26,55,66],"receive":[12],"is":[14,17,37,89,96,109],"studied":[15],"that":[16],"subject":[18],"to":[19,39,42],"an":[20,46,57],"input":[21,29,52,80],"peak-power":[22],"constraint.":[23],"The":[24,35],"ca-pacity":[25],"the":[27,51,78,84,106],"capacity-achieving":[28,79,107],"distribution":[30,95,108],"are":[31],"unknown":[32],"in":[33],"general.":[34],"problem":[36],"shown":[38],"be":[40],"equivalent":[41],"a":[43,93],"channel":[44],"identity":[47],"matrix":[48],"but":[49],"where":[50],"lies":[53],"inside":[54],"on":[56,83],"ellipse":[58],"principal":[60],"axis":[61,68],"length":[62,69],"<tex":[63,70,74,100],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64,71,75,101],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$r_{p}$</tex>":[65],"minor":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$r_{m}$</tex>.":[72],"If":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$r_{p}\\leq\\sqrt{2}$</tex>,":[76],"then":[77,105],"has":[81],"support":[82],"ellipse.":[85],"sufficient":[87],"condition":[88],"derived":[90],"under":[91],"which":[92],"two-point":[94],"optimal.":[97],"Finally,":[98],"if":[99],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$r_{m}":[102],"&lt;":[103],"r_{p}\\leq\\sqrt{2}$</tex>,":[104],"discrete.":[110]},"counts_by_year":[],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}