{"id":"https://openalex.org/W2138726333","doi":"https://doi.org/10.1109/allerton.2008.4797589","title":"On asymptotics of Tomlinson-Harashima precoding with channel uncertainty","display_name":"On asymptotics of Tomlinson-Harashima precoding with channel uncertainty","publication_year":2008,"publication_date":"2008-09-01","ids":{"openalex":"https://openalex.org/W2138726333","doi":"https://doi.org/10.1109/allerton.2008.4797589","mag":"2138726333"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2008.4797589","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2008.4797589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","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/A5063050881","display_name":"Alon Shalev Housfater","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Alon Shalev Housfater","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON#TAB#","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068478144","display_name":"Teng Joon Lim","orcid":"https://orcid.org/0000-0002-3356-2240"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Teng Joon Lim","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON#TAB#","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063050881"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.3329,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66102915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"426","last_page":"431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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":0.9980000257492065,"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/precoding","display_name":"Precoding","score":0.9302499294281006},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6513723731040955},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5495197176933289},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.5200154781341553},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.5084025263786316},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5023849010467529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4592132568359375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45093947649002075},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42757853865623474},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.419768750667572},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3906145393848419},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33121925592422485},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2584676444530487},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1926496922969818},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.1855309009552002},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12787124514579773},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10142835974693298}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9302499294281006},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6513723731040955},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5495197176933289},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.5200154781341553},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.5084025263786316},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5023849010467529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4592132568359375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45093947649002075},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42757853865623474},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.419768750667572},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3906145393848419},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33121925592422485},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2584676444530487},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1926496922969818},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.1855309009552002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12787124514579773},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10142835974693298},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2008.4797589","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2008.4797589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1599295008","https://openalex.org/W2013673936","https://openalex.org/W2014999546","https://openalex.org/W2020035234","https://openalex.org/W2034940072","https://openalex.org/W2055823461","https://openalex.org/W2097915928","https://openalex.org/W2120350343","https://openalex.org/W2168475607","https://openalex.org/W2170706425","https://openalex.org/W2505777393","https://openalex.org/W4293005804","https://openalex.org/W4297170707","https://openalex.org/W4298053401","https://openalex.org/W4362230038"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W4386858283","https://openalex.org/W1979957996","https://openalex.org/W3190864439","https://openalex.org/W1993945082"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,15,25,38,41,54,63,67],"impact":[4],"of":[5,40,50],"uncertain":[6],"channel":[7,20,26,55],"information":[8],"for":[9,37,61],"a":[10],"Tomlinson-Harashima":[11],"precoder":[12],"designed":[13],"with":[14],"zero":[16],"forcing":[17],"criterion.":[18],"The":[19],"uncertainty":[21],"is":[22],"modeled":[23],"as":[24],"matrix":[27],"corrupted":[28],"by":[29],"additive":[30],"Gaussian":[31],"noise.":[32],"General":[33],"expressions":[34,58],"are":[35,59],"derived":[36,60],"densities":[39],"feedback":[42],"and":[43,66],"feedforward":[44],"precoding":[45],"matrices.":[46],"Under":[47],"an":[48],"assumption":[49],"small":[51],"variance":[52],"in":[53],"uncertainty,":[56],"asymptotic":[57],"both":[62],"two-user":[64],"case":[65],"general":[68],"multiple":[69],"users":[70],"case.":[71]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}