{"id":"https://openalex.org/W2025237502","doi":"https://doi.org/10.1109/tsp.2013.2284762","title":"Permutation Meets Parallel Compressed Sensing: How to Relax Restricted Isometry Property for 2D Sparse Signals","display_name":"Permutation Meets Parallel Compressed Sensing: How to Relax Restricted Isometry Property for 2D Sparse Signals","publication_year":2013,"publication_date":"2013-10-03","ids":{"openalex":"https://openalex.org/W2025237502","doi":"https://doi.org/10.1109/tsp.2013.2284762","mag":"2025237502"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2284762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2284762","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1305.4980","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103667001","display_name":"Hao Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Hao Fang","raw_affiliation_strings":["Department of Electrical Engineering, University of Washington, Seattle, WA, USA","Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055234860","display_name":"Sergiy A. Vorobyov","orcid":"https://orcid.org/0000-0001-7249-647X"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["CA","FI"],"is_corresponding":false,"raw_author_name":"Sergiy A. Vorobyov","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","Dept. of Signal Process. & Acoust., Aalto Univ., Aalto, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Dept. of Signal Process. & Acoust., Aalto Univ., Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022850202","display_name":"Hai Jiang","orcid":"https://orcid.org/0000-0003-1042-4897"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hai Jiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111226930","display_name":"Omid Taheri","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Omid Taheri","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada#TAB#","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9134,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.96588886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"62","issue":"1","first_page":"196","last_page":"210"},"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":0.9968000054359436,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9965999722480774,"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/restricted-isometry-property","display_name":"Restricted isometry property","score":0.8572399616241455},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7088237404823303},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6815148591995239},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.6100975871086121},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.579102635383606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4467509388923645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39039140939712524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3756100833415985},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15132567286491394},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10798826813697815},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.06510326266288757}],"concepts":[{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.8572399616241455},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7088237404823303},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6815148591995239},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.6100975871086121},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.579102635383606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4467509388923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39039140939712524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3756100833415985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15132567286491394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10798826813697815},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.06510326266288757},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2013.2284762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2284762","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":"pmh:oai:arXiv.org:1305.4980","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.4980","pdf_url":"https://arxiv.org/pdf/1305.4980","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1305.4980","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.4980","pdf_url":"https://arxiv.org/pdf/1305.4980","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1546108826","https://openalex.org/W1976603814","https://openalex.org/W1980510805","https://openalex.org/W2001380973","https://openalex.org/W2027953636","https://openalex.org/W2040903332","https://openalex.org/W2046904217","https://openalex.org/W2063393830","https://openalex.org/W2097751785","https://openalex.org/W2105240317","https://openalex.org/W2109981937","https://openalex.org/W2119667497","https://openalex.org/W2121326471","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2129812098","https://openalex.org/W2140196014","https://openalex.org/W2141423216","https://openalex.org/W2152374199","https://openalex.org/W2157939001","https://openalex.org/W2160978899","https://openalex.org/W2161409394","https://openalex.org/W2161950100","https://openalex.org/W2162409952","https://openalex.org/W2164452299","https://openalex.org/W2164696938","https://openalex.org/W2171783193","https://openalex.org/W2296616510","https://openalex.org/W2620300926","https://openalex.org/W3102018825","https://openalex.org/W4250955649","https://openalex.org/W6632588127","https://openalex.org/W6668902313","https://openalex.org/W6679164396","https://openalex.org/W7008603791"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W1639246335","https://openalex.org/W116214155","https://openalex.org/W4237430004","https://openalex.org/W2952050240","https://openalex.org/W2568623927","https://openalex.org/W2025666718"],"abstract_inverted_index":{"Traditional":[0],"compressed":[1,69,87,152],"sensing":[2,22,60,102,153],"considers":[3],"sampling":[4],"a":[5,9,15,45,81,90,108,158],"1D":[6],"signal.":[7],"For":[8,80],"multidimensional":[10,40],"signal,":[11,47,99],"if":[12,89],"reshaped":[13,43],"into":[14,44],"vector,":[16],"the":[17,21,29,39,58,97,100,125,141,150,155,168,172],"required":[18,110],"size":[19],"of":[20,85,112,149,176],"matrix":[23,103],"becomes":[24],"dramatically":[25],"large,":[26],"which":[27,48],"increases":[28,171],"storage":[30,76,120],"and":[31,52,71,77,117,121,179],"computational":[32,78],"complexity":[33,123],"significantly.":[34],"To":[35],"solve":[36],"this":[37],"problem,":[38],"signal":[41],"is":[42,49,64,94,104,132,162,165],"2D":[46,98],"then":[50],"sampled":[51],"reconstructed":[53,177],"column":[54,56],"by":[55],"using":[57],"same":[59],"matrix.":[61],"This":[62],"approach":[63],"referred":[65],"to":[66,96,106,134],"as":[67],"parallel":[68,86,151],"sensing,":[70,88],"it":[72],"has":[73],"much":[74],"lower":[75,119],"complexity.":[79],"given":[82],"reconstruction":[83],"performance":[84],"so-called":[91],"acceptable":[92],"permutation":[93,131,170],"applied":[95],"corresponding":[101],"shown":[105,133,166],"have":[107],"smaller":[109],"order":[111],"restricted":[113],"isometry":[114],"property":[115],"condition,":[116],"thus,":[118],"computation":[122],"at":[124],"decoder":[126],"are":[127],"required.":[128],"A":[129],"zigzag-scan-based":[130,156,169],"be":[135],"particularly":[136],"useful":[137],"for":[138],"signals":[139],"satisfying":[140],"newly":[142],"introduced":[143],"layer":[144],"model.":[145],"As":[146],"an":[147],"application":[148],"with":[154],"permutation,":[157],"video":[159,180],"compression":[160],"scheme":[161],"presented.":[163],"It":[164],"that":[167],"peak":[173],"signal-to-noise":[174],"ratio":[175],"images":[178],"frames.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
