{"id":"https://openalex.org/W1673194438","doi":"https://doi.org/10.1109/isit.2015.7282429","title":"A geometric analysis of the AWGN channel with a (&amp;#x03C3;, &amp;#x03C1;)-power constraint","display_name":"A geometric analysis of the AWGN channel with a (&amp;#x03C3;, &amp;#x03C1;)-power constraint","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1673194438","doi":"https://doi.org/10.1109/isit.2015.7282429","mag":"1673194438"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282429","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5021502006","display_name":"Varun Jog","orcid":"https://orcid.org/0000-0003-4159-0900"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Varun Jog","raw_affiliation_strings":["UC Berkeley, EECS, Berkeley, CA","EECS, UC Berkeley, CA-94720, United States"],"affiliations":[{"raw_affiliation_string":"UC Berkeley, EECS, Berkeley, CA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS, UC Berkeley, CA-94720, United States","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013689450","display_name":"Venkat Anantharam","orcid":"https://orcid.org/0000-0002-6214-7927"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkat Anantharam","raw_affiliation_strings":["UC Berkeley, EECS, Berkeley, CA","EECS, UC Berkeley, CA-94720, United States"],"affiliations":[{"raw_affiliation_string":"UC Berkeley, EECS, Berkeley, CA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS, UC Berkeley, CA-94720, United States","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021502006"],"corresponding_institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":3.2432,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91312108,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"151","issue":null,"first_page":"121","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9998999834060669,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9991000294685364,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5099650621414185},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4799407124519348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45641830563545227},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42498332262039185},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22397306561470032}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5099650621414185},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4799407124519348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45641830563545227},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42498332262039185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22397306561470032}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2015.7282429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282429","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W565214016","https://openalex.org/W1481438721","https://openalex.org/W1571966798","https://openalex.org/W1971662030","https://openalex.org/W1995875735","https://openalex.org/W2031724611","https://openalex.org/W2040215717","https://openalex.org/W2059120410","https://openalex.org/W2088506000","https://openalex.org/W2154750699","https://openalex.org/W4290464992","https://openalex.org/W4301258660"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,46,118,153,211],"consider":[1],"the":[2,32,48,56,71,78,97,100,111,134,143,159,162,191,197,201,208,221],"additive":[3],"white":[4],"Gaussian":[5],"noise":[6,84],"(AWGN)":[7],"channel":[8,52,206],"with":[9],"a":[10,25,44,83,123,174],"(\u03c3,":[11,62,79,108,151,170,202],"\u03c1)-power":[12,80,203],"constraint,":[13],"which":[14,69,132],"is":[15,70,186],"motivated":[16],"by":[17,54,95],"energy":[18],"harvesting":[19],"communication":[20],"systems.":[21],"This":[22],"constraint":[23],"imposes":[24],"limit":[26,175,192],"of":[27,35,50,73,86,99,103,115,136,142,146,161,165,190,200],"\u03c3":[28,216],"+":[29],"k\u03c1":[30],"on":[31,93,184],"total":[33],"power":[34,85],"any":[36],"k":[37],"\u2265":[38],"1":[39],"consecutive":[40],"transmitted":[41],"symbols":[42],"in":[43,140,188,207],"codeword.":[45],"analyze":[47,119],"capacity":[49,94,185,199],"this":[51,120,137],"geometrically,":[53],"considering":[55,96],"set":[57,72],"S":[58,104,147],"<sub":[59,105,148,167],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60,67,106,149,168],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[61,107,150,169],"\u03c1)":[63,109],"\u2286":[64],"\u211d":[65],"<sup":[66],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[68],"all":[74],"n-length":[75],"sequences":[76],"satisfying":[77],"constraints.":[81],"For":[82],"\u03bd,":[87],"we":[88],"obtain":[89],"an":[90,178],"upper":[91,182],"bound":[92,121,183],"volume":[98,135],"Minkowski":[101,138],"sum":[102,139],"and":[110],"n-dimensional":[112],"Euclidean":[113],"ball":[114],"radius":[116],"\u221a(n\u03bd).":[117],"using":[122],"result":[124],"from":[125],"convex":[126],"geometry":[127],"known":[128],"as":[129,156],"Steiner's":[130],"formula,":[131],"gives":[133],"terms":[141,189],"intrinsic":[144,163],"volumes":[145,164],"\u03c1).":[152],"show":[154],"that":[155],"n":[157],"increases,":[158],"logarithms":[160],"{S":[166],"\u03c1)}":[171],"converge":[172],"to":[173,220],"function":[176],"under":[177],"appropriate":[179],"scaling.":[180],"An":[181],"obtained":[187],"function,":[193],"thus":[194],"pinning":[195],"down":[196],"asymptotic":[198],"constrained":[204],"AWGN":[205,223],"low-noise":[209],"regime.":[210],"derive":[212],"stronger":[213],"results":[214],"when":[215],"=":[217],"0,":[218],"corresponding":[219],"amplitude-constrained":[222],"channel.":[224]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
