{"id":"https://openalex.org/W2079521327","doi":"https://doi.org/10.1109/itw.2012.6404755","title":"Golay meets Hadamard: Golay-paired Hadamard matrices for fast compressed sensing","display_name":"Golay meets Hadamard: Golay-paired Hadamard matrices for fast compressed sensing","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2079521327","doi":"https://doi.org/10.1109/itw.2012.6404755","mag":"2079521327"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","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/A5100726358","display_name":"Lu Gan","orcid":"https://orcid.org/0000-0003-1056-7660"},"institutions":[{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lu Gan","raw_affiliation_strings":["School of Engineering and Design Brunel University, Uxbridge, UK","School of Engineering and Design, Brunel University, Uxbridge UB8 3PH,#N#UK"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Design Brunel University, Uxbridge, UK","institution_ids":["https://openalex.org/I59433898"]},{"raw_affiliation_string":"School of Engineering and Design, Brunel University, Uxbridge UB8 3PH,#N#UK","institution_ids":["https://openalex.org/I59433898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101786299","display_name":"Kezhi Li","orcid":"https://orcid.org/0000-0003-3073-3128"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kezhi Li","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Department of Electrical and Electronic Engineering , Imperial College , London SW7 2AZ , UK "],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering , Imperial College , London SW7 2AZ , UK ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065795716","display_name":"Cong Ling","orcid":"https://orcid.org/0000-0001-7873-4862"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Cong Ling","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Department of Electrical and Electronic Engineering , Imperial College , London SW7 2AZ , UK "],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering , Imperial College , London SW7 2AZ , UK ","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100726358"],"corresponding_institution_ids":["https://openalex.org/I59433898"],"apc_list":null,"apc_paid":null,"fwci":2.0573,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8639909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"637","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/hadamard-transform","display_name":"Hadamard transform","score":0.954332709312439},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.9449016451835632},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7636691331863403},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.6088850498199463},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5753470659255981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5663415193557739},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4677797555923462},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4558398425579071},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.4430348575115204},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4224083125591278},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.42015668749809265},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4112323224544525},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.3770296275615692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35384848713874817},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33566680550575256},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.11837515234947205},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.11565837264060974},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09655994176864624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0916820764541626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.059373319149017334}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.954332709312439},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.9449016451835632},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7636691331863403},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.6088850498199463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5753470659255981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5663415193557739},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4677797555923462},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4558398425579071},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.4430348575115204},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4224083125591278},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.42015668749809265},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4112323224544525},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3770296275615692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35384848713874817},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33566680550575256},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.11837515234947205},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.11565837264060974},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09655994176864624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0916820764541626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.059373319149017334},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4029491683","display_name":null,"funder_award_id":"EP/I038853/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1524793401","https://openalex.org/W1527917680","https://openalex.org/W1966637115","https://openalex.org/W1992764782","https://openalex.org/W2001380973","https://openalex.org/W2038981428","https://openalex.org/W2044762091","https://openalex.org/W2055064119","https://openalex.org/W2068136251","https://openalex.org/W2109357213","https://openalex.org/W2122548617","https://openalex.org/W2123629701","https://openalex.org/W2129638195","https://openalex.org/W2129812098","https://openalex.org/W2137198385","https://openalex.org/W2159563318","https://openalex.org/W2160632209","https://openalex.org/W2160979406","https://openalex.org/W2164452299","https://openalex.org/W2167220178","https://openalex.org/W2289917018","https://openalex.org/W2294688254","https://openalex.org/W2296616510","https://openalex.org/W4250955649","https://openalex.org/W6631191187","https://openalex.org/W6679164396","https://openalex.org/W6684447806"],"related_works":["https://openalex.org/W1976224891","https://openalex.org/W3154819821","https://openalex.org/W2800183570","https://openalex.org/W4248538344","https://openalex.org/W2210786735","https://openalex.org/W1975962647","https://openalex.org/W1524793401","https://openalex.org/W2982171114","https://openalex.org/W2181440365","https://openalex.org/W4252623088"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"Golay-paired":[3],"Hadamard":[4],"matrices":[5,63],"for":[6,43],"fast":[7,28],"compressed":[8],"sensing":[9,62],"of":[10,41,46,71],"sparse":[11,48],"signals":[12],"in":[13,30,50],"the":[14,51,60],"time":[15,52],"or":[16,53],"spectral":[17],"domain.":[18,55],"These":[19],"sampling":[20],"operators":[21],"feature":[22],"low-memory":[23],"requirement,":[24],"hardware-friendly":[25],"implementation":[26],"and":[27],"computation":[29],"reconstruction.":[31],"We":[32],"show":[33],"that":[34,59,70],"they":[35],"require":[36],"a":[37,47,65],"nearly":[38],"optimal":[39],"number":[40],"measurements":[42],"faithful":[44],"reconstruction":[45,66],"signal":[49],"frequency":[54],"Simulation":[56],"results":[57],"demonstrate":[58],"proposed":[61],"offer":[64],"performance":[67],"similar":[68],"to":[69],"fully":[72],"random":[73],"matrices.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}