{"id":"https://openalex.org/W4409155714","doi":"https://doi.org/10.1109/lcomm.2025.3557002","title":"Nested Grassmannian Codebooks for Quantizing MIMO Precoders on the Flag Manifold","display_name":"Nested Grassmannian Codebooks for Quantizing MIMO Precoders on the Flag Manifold","publication_year":2025,"publication_date":"2025-04-04","ids":{"openalex":"https://openalex.org/W4409155714","doi":"https://doi.org/10.1109/lcomm.2025.3557002"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2025.3557002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2025.3557002","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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/A5008432278","display_name":"Naresh Kolla","orcid":"https://orcid.org/0000-0001-8159-6181"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Naresh Kolla","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102227068","display_name":"Parth Mehta","orcid":null},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Parth Mehta","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045135576","display_name":"Kumar Appaiah","orcid":"https://orcid.org/0000-0002-3149-4416"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kumar Appaiah","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022706065","display_name":"Debasattam Pal","orcid":"https://orcid.org/0000-0002-4886-3003"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debasattam Pal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008432278"],"corresponding_institution_ids":["https://openalex.org/I162827531"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0660215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"6","first_page":"1215","last_page":"1219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.996999979019165,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.996999979019165,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9965999722480774,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9944999814033508,"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/grassmannian","display_name":"Grassmannian","score":0.7378632426261902},{"id":"https://openalex.org/keywords/flag","display_name":"Flag (linear algebra)","score":0.6932825446128845},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5347836017608643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47237399220466614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40171852707862854},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39416953921318054},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35832127928733826},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.29367366433143616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2577643394470215},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.22526398301124573},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.16026973724365234}],"concepts":[{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.7378632426261902},{"id":"https://openalex.org/C2776730729","wikidata":"https://www.wikidata.org/wiki/Q1392130","display_name":"Flag (linear algebra)","level":3,"score":0.6932825446128845},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5347836017608643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47237399220466614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40171852707862854},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39416953921318054},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35832127928733826},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.29367366433143616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2577643394470215},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.22526398301124573},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.16026973724365234}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2025.3557002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2025.3557002","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308258","display_name":"Qualcomm","ror":"https://ror.org/002zrf773"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1898922656","https://openalex.org/W1968555221","https://openalex.org/W2026827191","https://openalex.org/W2074863717","https://openalex.org/W2101224330","https://openalex.org/W2113271807","https://openalex.org/W2114520201","https://openalex.org/W2130509920","https://openalex.org/W2134503975","https://openalex.org/W2135766253","https://openalex.org/W2161515500","https://openalex.org/W2169448252","https://openalex.org/W2900841156","https://openalex.org/W2962837755","https://openalex.org/W3003262222","https://openalex.org/W3146660735","https://openalex.org/W3169551415","https://openalex.org/W4200371375","https://openalex.org/W6698320070","https://openalex.org/W6728721028"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2324035390","https://openalex.org/W2963151310","https://openalex.org/W3175137310","https://openalex.org/W2583526987","https://openalex.org/W3034984450","https://openalex.org/W2695311495","https://openalex.org/W3139271019","https://openalex.org/W2098156551","https://openalex.org/W3178108054"],"abstract_inverted_index":{"In":[0],"MIMO":[1],"systems,":[2],"the":[3,24,69],"channel":[4],"can":[5],"be":[6],"decomposed":[7],"using":[8],"Singular":[9],"Value":[10],"Decomposition":[11],"(SVD).":[12],"The":[13],"resulting":[14],"unitary":[15],"matrices,":[16],"used":[17],"as":[18],"precoders,":[19],"are":[20],"fed":[21],"back":[22],"to":[23,26],"transmitter":[25],"enhance":[27],"rates.":[28],"Their":[29],"non-uniqueness":[30],"enables":[31],"efficient":[32],"quantization":[33,49],"on":[34],"Flag":[35,60,74],"manifolds.":[36],"While":[37],"previous":[38],"studies":[39],"have":[40],"investigated":[41],"manifold-based":[42],"precoder":[43],"feedback":[44],"approaches,":[45,79],"an":[46],"incremental":[47],"subspace-based":[48],"approach":[50],"remains":[51],"unexplored.":[52],"We":[53],"propose":[54],"a":[55],"nested":[56],"Grassmannian":[57],"quantizer":[58],"for":[59],"elements,":[61],"which":[62],"incrementally":[63],"builds":[64],"codebook":[65],"dimensions.":[66],"Simulations":[67],"show":[68],"proposed":[70],"method":[71],"effectively":[72],"captures":[73],"elements":[75],"and":[76],"outperforms":[77],"existing":[78],"with":[80],"significant":[81],"gains.":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
