{"id":"https://openalex.org/W2973556000","doi":"https://doi.org/10.1109/tit.2021.3133071","title":"Analog Subspace Coding: A New Approach to Coding for Non-Coherent Wireless Networks","display_name":"Analog Subspace Coding: A New Approach to Coding for Non-Coherent Wireless Networks","publication_year":2021,"publication_date":"2021-12-06","ids":{"openalex":"https://openalex.org/W2973556000","doi":"https://doi.org/10.1109/tit.2021.3133071","mag":"2973556000"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3133071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3133071","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/A5084796282","display_name":"Mahdi Soleymani","orcid":"https://orcid.org/0000-0002-5495-901X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mahdi Soleymani","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-5495-901X","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056299839","display_name":"Hessam Mahdavifar","orcid":"https://orcid.org/0000-0001-9021-1992"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hessam Mahdavifar","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0001-9021-1992","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084796282"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.9608,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.75926736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"4","first_page":"2349","last_page":"2364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9994000196456909,"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/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6526304483413696},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6514891386032104},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4927568733692169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47756630182266235},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.4716828465461731},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4534953534603119},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43090352416038513},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41310185194015503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3705318570137024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3419506847858429},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33470430970191956},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20298266410827637},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1517026126384735},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09210294485092163}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6526304483413696},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6514891386032104},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4927568733692169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47756630182266235},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.4716828465461731},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4534953534603119},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43090352416038513},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41310185194015503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3705318570137024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3419506847858429},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33470430970191956},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20298266410827637},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1517026126384735},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09210294485092163},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2021.3133071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3133071","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":[{"id":"https://openalex.org/G2024648934","display_name":null,"funder_award_id":"CCF-1941633","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8341428849","display_name":null,"funder_award_id":"CCF-1909771","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G950066698","display_name":null,"funder_award_id":"CCF-1763348","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W188689747","https://openalex.org/W1489528905","https://openalex.org/W1605351220","https://openalex.org/W1648384611","https://openalex.org/W1753813393","https://openalex.org/W1827451679","https://openalex.org/W1898922656","https://openalex.org/W1963533680","https://openalex.org/W1966907097","https://openalex.org/W1976916271","https://openalex.org/W1980389767","https://openalex.org/W1984337378","https://openalex.org/W1992554485","https://openalex.org/W1992860258","https://openalex.org/W2010753958","https://openalex.org/W2035469609","https://openalex.org/W2044180609","https://openalex.org/W2052529288","https://openalex.org/W2062757686","https://openalex.org/W2069832414","https://openalex.org/W2075416888","https://openalex.org/W2081163625","https://openalex.org/W2085220484","https://openalex.org/W2086869478","https://openalex.org/W2091331782","https://openalex.org/W2094334071","https://openalex.org/W2102251918","https://openalex.org/W2102988735","https://openalex.org/W2103780699","https://openalex.org/W2109062787","https://openalex.org/W2110673833","https://openalex.org/W2119136610","https://openalex.org/W2120302973","https://openalex.org/W2121743251","https://openalex.org/W2123061921","https://openalex.org/W2124960314","https://openalex.org/W2126014224","https://openalex.org/W2130350209","https://openalex.org/W2132702454","https://openalex.org/W2133068391","https://openalex.org/W2133214726","https://openalex.org/W2139416652","https://openalex.org/W2142361128","https://openalex.org/W2143781601","https://openalex.org/W2145988782","https://openalex.org/W2158306791","https://openalex.org/W2159193690","https://openalex.org/W2162876202","https://openalex.org/W2167413626","https://openalex.org/W2167890515","https://openalex.org/W2170678594","https://openalex.org/W2249337672","https://openalex.org/W2323514020","https://openalex.org/W2545518445","https://openalex.org/W2567264041","https://openalex.org/W2798909945","https://openalex.org/W2897250126","https://openalex.org/W2963346868","https://openalex.org/W3006098219","https://openalex.org/W3125050562","https://openalex.org/W4237992594","https://openalex.org/W4242862564","https://openalex.org/W4250409271","https://openalex.org/W6630458277","https://openalex.org/W6636835941"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636","https://openalex.org/W4287164812","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849"],"abstract_inverted_index":{"We":[0,69],"provide":[1],"a":[2,43,87,165],"novel":[3],"framework":[4],"to":[5,48,60,80,90,114,121,133,140,144],"study":[6,71],"subspace":[7,53,92],"codes":[8,54,93,150],"for":[9,164,170],"non-coherent":[10],"communications":[11],"in":[12,55,94,125,151],"wireless":[13],"networks.":[14],"To":[15],"this":[16],"end,":[17],"an":[18,81],"<italic":[19],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,34,172],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">analog":[21],"operator":[22],"channel</i>":[23],"is":[24,46],"defined":[25,47],"with":[26,78,111],"inputs":[27],"and":[28,64,159],"outputs":[29],"being":[30],"subspaces":[31],"of":[32,52,57,66,74,148,153,168],"<inline-formula":[33,171],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[35,173],"<tex-math":[36,174],"notation=\"LaTeX\">${":[37],"\\mathbb":[38],"C}^{n}$":[39],"</tex-math></inline-formula>":[40,176],".":[41,177],"Then":[42],"certain":[44],"distance":[45],"capture":[49],"the":[50,67,72,75,95,122,126,154,157,160],"performance":[51],"terms":[56,152],"their":[58,119],"capability":[59],"recover":[61],"from":[62],"interference":[63],"rank-deficiency":[65],"network.":[68],"also":[70,98],"robustness":[73],"proposed":[76],"model":[77],"respect":[79],"additive":[82],"noise.":[83],"Furthermore,":[84],"we":[85],"propose":[86],"new":[88],"approach":[89],"construct":[91],"analog":[96],"domain,":[97],"regarded":[99],"as":[100,134],"Grassmann":[101,149],"codes,":[102,131,137],"by":[103],"leveraging":[104],"polynomial":[105],"evaluations":[106],"over":[107],"finite":[108,115],"fields":[109,116],"together":[110],"characters":[112],"associated":[113],"that":[117],"map":[118],"elements":[120],"unit":[123],"circle":[124],"complex":[127],"plane.":[128],"The":[129],"constructed":[130],"referred":[132],"character-polynomial":[135],"(CP)":[136],"are":[138],"shown":[139],"perform":[141],"better":[142],"comparing":[143],"other":[145],"existing":[146],"constructions":[147],"trade-off":[155],"between":[156],"rate":[158],"normalized":[161],"minimum":[162],"distance,":[163],"wide":[166],"range":[167],"values":[169],"notation=\"LaTeX\">$n$":[175]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}