{"id":"https://openalex.org/W3079238949","doi":"https://doi.org/10.1109/tsp.2021.3114977","title":"A Two Stage Generalized Block Orthogonal Matching Pursuit (TSGBOMP) Algorithm","display_name":"A Two Stage Generalized Block Orthogonal Matching Pursuit (TSGBOMP) Algorithm","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3079238949","doi":"https://doi.org/10.1109/tsp.2021.3114977","mag":"3079238949"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3114977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3114977","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.08031.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006331313","display_name":"Samrat Mukhopadhyay","orcid":"https://orcid.org/0000-0002-6389-5185"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]},{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Samrat Mukhopadhyay","raw_affiliation_strings":["Electronics and Electrical Communication Engg., Indian Institute of Technology, Kharagpur, Kharagpur, West Bengal, India, 721302 (e-mail: samratphysics@gmail.com)","Department of Electronics Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, India"],"affiliations":[{"raw_affiliation_string":"Electronics and Electrical Communication Engg., Indian Institute of Technology, Kharagpur, Kharagpur, West Bengal, India, 721302 (e-mail: samratphysics@gmail.com)","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"Department of Electronics Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072872028","display_name":"Mrityunjoy Chakraborty","orcid":"https://orcid.org/0000-0003-4009-9554"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mrityunjoy Chakraborty","raw_affiliation_strings":["E & E. C. E., Indian Institute of Technology, Kharagpur, Kharagpur, India, 721302 (e-mail: mrityun@ece.iitkgp.ac.in)","[Department of Electronics and Electrical Communication Engineering, Indian Institute of Technology, Kharagpur, INDIA]"],"affiliations":[{"raw_affiliation_string":"E & E. C. E., Indian Institute of Technology, Kharagpur, Kharagpur, India, 721302 (e-mail: mrityun@ece.iitkgp.ac.in)","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"[Department of Electronics and Electrical Communication Engineering, Indian Institute of Technology, Kharagpur, INDIA]","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006331313"],"corresponding_institution_ids":["https://openalex.org/I145894827","https://openalex.org/I189109744"],"apc_list":null,"apc_paid":null,"fwci":0.39209388,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5076685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"69","issue":null,"first_page":"5846","last_page":"5858"},"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":0.9994000196456909,"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":0.9984999895095825,"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/matching-pursuit","display_name":"Matching pursuit","score":0.807216227054596},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.7275680899620056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7019537687301636},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6781812310218811},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6253929734230042},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5651906728744507},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5275943875312805},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5140093564987183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49800539016723633},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.49578532576560974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4345337152481079},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19673484563827515},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07100170850753784}],"concepts":[{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.807216227054596},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7275680899620056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7019537687301636},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6781812310218811},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6253929734230042},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5651906728744507},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5275943875312805},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5140093564987183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49800539016723633},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.49578532576560974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4345337152481079},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19673484563827515},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07100170850753784},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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":3,"locations":[{"id":"doi:10.1109/tsp.2021.3114977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3114977","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"mag:3079238949","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2008.08031.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2008.08031","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.08031","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"mag:3079238949","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2008.08031.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W568673721","https://openalex.org/W1577111082","https://openalex.org/W1977520307","https://openalex.org/W1988529089","https://openalex.org/W2018233872","https://openalex.org/W2030449718","https://openalex.org/W2033419225","https://openalex.org/W2046658845","https://openalex.org/W2071282831","https://openalex.org/W2111730426","https://openalex.org/W2114129195","https://openalex.org/W2116148865","https://openalex.org/W2123629701","https://openalex.org/W2125680629","https://openalex.org/W2127271355","https://openalex.org/W2128659236","https://openalex.org/W2129131372","https://openalex.org/W2134474909","https://openalex.org/W2135780853","https://openalex.org/W2140856955","https://openalex.org/W2141433180","https://openalex.org/W2145096794","https://openalex.org/W2147276092","https://openalex.org/W2151693816","https://openalex.org/W2160979406","https://openalex.org/W2161431029","https://openalex.org/W2162409952","https://openalex.org/W2164452299","https://openalex.org/W2170792849","https://openalex.org/W2734811486","https://openalex.org/W2797442763","https://openalex.org/W2801179766","https://openalex.org/W2947569882","https://openalex.org/W2963219644","https://openalex.org/W2963898043","https://openalex.org/W2964333607","https://openalex.org/W3125735862","https://openalex.org/W4250955649","https://openalex.org/W6684800257","https://openalex.org/W6781570477"],"related_works":["https://openalex.org/W3034802298","https://openalex.org/W3099222149","https://openalex.org/W3213503326","https://openalex.org/W2865804343","https://openalex.org/W2951996694","https://openalex.org/W11300682","https://openalex.org/W2766967855","https://openalex.org/W3164295722","https://openalex.org/W2142455269","https://openalex.org/W2044450349","https://openalex.org/W1965582845","https://openalex.org/W2936567560","https://openalex.org/W2964118521","https://openalex.org/W2753751479","https://openalex.org/W2752846897","https://openalex.org/W2952383655","https://openalex.org/W2950946721","https://openalex.org/W2798457808","https://openalex.org/W2609951494","https://openalex.org/W2259185762"],"abstract_inverted_index":{"Recovery":[0],"of":[1,9,16,43,90,106,121,193,211],"an":[2],"unknown":[3],"sparse":[4,28,31,35,126],"signal":[5,127],"from":[6],"a":[7,67,76,91,172],"few":[8],"its":[10],"projections":[11],"is":[12,75,110,157,200],"the":[13,41,72,83,95,99,107,116,122,134,140,155,176,179,197,212],"key":[14],"objective":[15],"compressed":[17],"sensing.":[18],"Often":[19],"one":[20],"comes":[21],"across":[22],"signals":[23],"that":[24,154,178,189,196],"are":[25,30,183,191],"not":[26,54],"ordinarily":[27],"but":[29],"blockwise.":[32],"Existing":[33],"block":[34,45,49,78,119,125],"recovery":[36,181],"algorithms":[37],"like":[38],"BOMP":[39],"make":[40],"assumption":[42],"uniform":[44],"size":[46],"and":[47,65,128,159],"known":[48],"boundaries,":[50],"which":[51],"are,":[52],"however,":[53],"very":[55],"practical":[56],"in":[57,98],"many":[58],"applications.":[59],"This":[60],"paper":[61],"addresses":[62],"this":[63],"problem":[64],"proposes":[66],"two":[68],"step":[69],"procedure,":[70],"where":[71,150],"first":[73,100,114],"stage":[74,81,85],"coarse":[77],"location":[79],"identification":[80],"while":[82],"second":[84],"carries":[86],"out":[87,112,153],"finer":[88],"localization":[89],"non-zero":[92],"cluster":[93],"within":[94],"window":[96],"selected":[97],"stage.":[101],"A":[102],"detailed":[103],"convergence":[104],"analysis":[105,141],"proposed":[108,213],"algorithm":[109,214],"carried":[111],"by":[113],"defining":[115],"so-called":[117],"pseudoblock-interleaved":[118],"RIP":[120],"given":[123],"generalized":[124],"then":[129],"imposing":[130],"upper":[131],"bounds":[132,182],"on":[133,175],"corresponding":[135],"RIC.":[136],"We":[137],"also":[138],"extend":[139],"for":[142],"complex":[143],"vector":[144],"as":[145,147,215],"well":[146],"matrix":[148,168],"entries":[149],"it":[151],"turns":[152],"extension":[156],"non-trivial":[158],"requires":[160],"special":[161],"care.":[162],"Furthermore,":[163],"assuming":[164],"real":[165],"Gaussian":[166],"sensing":[167],"entries,":[169],"we":[170],"find":[171],"lower":[173,186],"bound":[174,187,199],"probability":[177],"derived":[180,198],"satisfied.":[184],"The":[185],"suggests":[188],"there":[190],"sets":[192],"parameters":[194],"such":[195],"satisfied":[201],"with":[202],"high":[203],"probability.":[204],"Simulation":[205],"results":[206],"confirm":[207],"significantly":[208],"improved":[209],"performance":[210],"compared":[216],"to":[217],"BOMP.":[218]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}