{"id":"https://openalex.org/W1979914161","doi":"https://doi.org/10.1109/icassp.2002.5745095","title":"Minimum BER block precoders for zero-forcing equalization","display_name":"Minimum BER block precoders for zero-forcing equalization","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W1979914161","doi":"https://doi.org/10.1109/icassp.2002.5745095","mag":"1979914161"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2002.5745095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2002.5745095","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Acoustics Speech and Signal Processing","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/A5012209259","display_name":"Yanwu Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Yanwu Ding","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060300315","display_name":"Timothy N. Davidson","orcid":"https://orcid.org/0000-0002-2242-8070"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Timothy N. Davidson","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101860466","display_name":"Jian\u2010Kang Zhang","orcid":"https://orcid.org/0000-0003-0203-7918"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jian-Kang Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101766226","display_name":"Zhi\u2010Quan Luo","orcid":"https://orcid.org/0000-0003-3995-914X"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhi-Quan Luo","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047640717","display_name":"K.M. Wong","orcid":"https://orcid.org/0000-0002-8160-5663"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"K. Max Wong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5012209259"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":null,"apc_paid":null,"fwci":8.5589,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98568873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"III","last_page":"2261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10125","display_name":"Advanced Wireless Communication Techniques","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/T12146","display_name":"Power Line Communications and Noise","score":0.9995999932289124,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9994999766349792,"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/cyclic-prefix","display_name":"Cyclic prefix","score":0.6934093236923218},{"id":"https://openalex.org/keywords/equalization","display_name":"Equalization (audio)","score":0.6646602153778076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6286790370941162},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.6159660220146179},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.5928953886032104},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.5805076360702515},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4913913309574127},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4811604917049408},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4668479859828949},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4533720016479492},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4434622526168823},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.41380560398101807},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4129883050918579},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2781292796134949},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19801917672157288},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.19336357712745667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1442323923110962},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1409059464931488},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12891390919685364},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11562880873680115},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.09346890449523926}],"concepts":[{"id":"https://openalex.org/C2778775284","wikidata":"https://www.wikidata.org/wiki/Q5198224","display_name":"Cyclic prefix","level":4,"score":0.6934093236923218},{"id":"https://openalex.org/C75755367","wikidata":"https://www.wikidata.org/wiki/Q104531076","display_name":"Equalization (audio)","level":3,"score":0.6646602153778076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6286790370941162},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.6159660220146179},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.5928953886032104},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.5805076360702515},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4913913309574127},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4811604917049408},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4668479859828949},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4533720016479492},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4434622526168823},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.41380560398101807},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4129883050918579},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2781292796134949},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19801917672157288},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.19336357712745667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1442323923110962},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1409059464931488},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12891390919685364},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11562880873680115},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.09346890449523926},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"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/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/icassp.2002.5745095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2002.5745095","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Acoustics Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.929.3606","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.929.3606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.mcmaster.ca/%7Edavidson/pubs/ding_icassp02.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1950871777","https://openalex.org/W1979914161","https://openalex.org/W1995023439","https://openalex.org/W2049532134","https://openalex.org/W2080768413","https://openalex.org/W2099111195","https://openalex.org/W2103664294","https://openalex.org/W2121885663","https://openalex.org/W2151999766"],"related_works":["https://openalex.org/W2055586748","https://openalex.org/W2978631872","https://openalex.org/W2611681039","https://openalex.org/W2157733107","https://openalex.org/W2159845229","https://openalex.org/W2519797147","https://openalex.org/W2101617851","https://openalex.org/W3100645296","https://openalex.org/W2062416811","https://openalex.org/W2907064592"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"derive":[4],"an":[5],"analytic":[6],"expression":[7],"for":[8,19,33,38],"the":[9,14,34,62,71,116,122],"linear":[10],"precoder":[11,54,107],"which":[12],"minimizes":[13],"bit":[15],"error":[16,90],"rate":[17],"(BER)":[18],"block":[20],"transmission":[21],"systems":[22],"with":[23],"zero-forcing":[24],"equalization":[25],"and":[26,46,124,134],"threshold":[27],"detection.":[28],"The":[29,50,103],"design":[30],"is":[31,77],"developed":[32],"two":[35],"standard":[36],"schemes":[37,140],"eliminating":[39],"inter-block":[40],"interference;":[41],"viz,":[42],"zero":[43],"padding":[44],"(ZP)":[45],"cyclic":[47],"prefix":[48],"(CP).":[49],"CP":[51,125],"minimum":[52,87,105,126],"BER":[53,106,127],"has":[55,108],"a":[56,80,85,97,109],"structure":[57],"similar":[58],"to":[59],"that":[60,115],"of":[61,84,121],"conventional":[63,130],"water-filling":[64,73,131],"discrete":[65],"multitone":[66],"(DMT)":[67],"modulation":[68],"scheme,":[69],"but":[70],"diagonal":[72,86],"power":[74,92],"loading":[75,93],"matrix":[76,82,94],"replaced":[78],"by":[79,96],"full":[81],"consisting":[83],"mean":[88],"square":[89],"(MMSE)":[91],"post-multiplied":[95],"Discrete":[98],"Fourier":[99],"Transform":[100],"(DFT)":[101],"matrix.":[102],"ZP":[104,123],"corresponding":[110],"structure.":[111],"Performance":[112],"evaluations":[113],"indicate":[114],"signal-to-noise":[117],"ratio":[118],"(SNR)":[119],"gain":[120],"precoders":[128],"over":[129],"DMT,":[132],"MMSE,":[133],"orthogonal":[135],"frequency":[136],"division":[137],"multiplexing":[138],"(OFDM)":[139],"can":[141],"be":[142],"as":[143,145],"much":[144],"several":[146],"decibels.":[147]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}