{"id":"https://openalex.org/W2942385858","doi":"https://doi.org/10.1109/tsp.2020.2973545","title":"Sensing Matrix Design and Sparse Recovery on the Sphere and the Rotation Group","display_name":"Sensing Matrix Design and Sparse Recovery on the Sphere and the Rotation Group","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2942385858","doi":"https://doi.org/10.1109/tsp.2020.2973545","mag":"2942385858"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.2973545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2973545","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/1904.11596","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042279931","display_name":"Arya Bangun","orcid":"https://orcid.org/0000-0001-5753-4394"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Arya Bangun","raw_affiliation_strings":["Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5753-4394","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083706779","display_name":"Arash Behboodi","orcid":"https://orcid.org/0000-0001-8229-2809"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arash Behboodi","raw_affiliation_strings":["Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8229-2809","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066277118","display_name":"Rudolf Mathar","orcid":"https://orcid.org/0000-0002-9585-605X"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rudolf Mathar","raw_affiliation_strings":["Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9585-605X","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Information Technology (TI), RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042279931"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":2.1567,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.85467888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"68","issue":null,"first_page":"1439","last_page":"1454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-coherence","display_name":"Mutual coherence","score":0.7992315292358398},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.7646205425262451},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.7172345519065857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5692931413650513},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5635247826576233},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5390839576721191},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44621968269348145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.439778596162796},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.43422558903694153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32539618015289307},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15837129950523376},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1468321979045868},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11401274800300598}],"concepts":[{"id":"https://openalex.org/C45900066","wikidata":"https://www.wikidata.org/wiki/Q6944191","display_name":"Mutual coherence","level":3,"score":0.7992315292358398},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.7646205425262451},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.7172345519065857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5692931413650513},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5635247826576233},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5390839576721191},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44621968269348145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.439778596162796},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.43422558903694153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32539618015289307},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15837129950523376},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1468321979045868},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11401274800300598},{"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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2020.2973545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2973545","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:1904.11596","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.11596","pdf_url":"https://arxiv.org/pdf/1904.11596","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.11596","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.11596","pdf_url":"https://arxiv.org/pdf/1904.11596","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":81,"referenced_works":["https://openalex.org/W108098025","https://openalex.org/W143004564","https://openalex.org/W359317354","https://openalex.org/W642667799","https://openalex.org/W1504363278","https://openalex.org/W1555722984","https://openalex.org/W1933460799","https://openalex.org/W1973652129","https://openalex.org/W1980450508","https://openalex.org/W1982010431","https://openalex.org/W1991497190","https://openalex.org/W2000261957","https://openalex.org/W2005969771","https://openalex.org/W2036595722","https://openalex.org/W2038205830","https://openalex.org/W2039457516","https://openalex.org/W2048084056","https://openalex.org/W2052841629","https://openalex.org/W2054875385","https://openalex.org/W2055064119","https://openalex.org/W2056162638","https://openalex.org/W2063575337","https://openalex.org/W2064436512","https://openalex.org/W2067161429","https://openalex.org/W2074863717","https://openalex.org/W2082029531","https://openalex.org/W2084196626","https://openalex.org/W2086869478","https://openalex.org/W2100952825","https://openalex.org/W2107260249","https://openalex.org/W2112543875","https://openalex.org/W2116148865","https://openalex.org/W2119667497","https://openalex.org/W2121743251","https://openalex.org/W2122340891","https://openalex.org/W2127271355","https://openalex.org/W2129131372","https://openalex.org/W2129566246","https://openalex.org/W2129638195","https://openalex.org/W2130256523","https://openalex.org/W2134033146","https://openalex.org/W2138548210","https://openalex.org/W2139019018","https://openalex.org/W2140756509","https://openalex.org/W2141454789","https://openalex.org/W2144424682","https://openalex.org/W2145096794","https://openalex.org/W2156297272","https://openalex.org/W2160525176","https://openalex.org/W2169273233","https://openalex.org/W2181962815","https://openalex.org/W2395430402","https://openalex.org/W2410026765","https://openalex.org/W2483650198","https://openalex.org/W2489209727","https://openalex.org/W2563964832","https://openalex.org/W2584020404","https://openalex.org/W2616345629","https://openalex.org/W2751999568","https://openalex.org/W2800204305","https://openalex.org/W2910928849","https://openalex.org/W2951417773","https://openalex.org/W2963716738","https://openalex.org/W2969379881","https://openalex.org/W3038165843","https://openalex.org/W3099731122","https://openalex.org/W3099753513","https://openalex.org/W3102180479","https://openalex.org/W3102903867","https://openalex.org/W3105703423","https://openalex.org/W3132809430","https://openalex.org/W4230880638","https://openalex.org/W4289684174","https://openalex.org/W4293933590","https://openalex.org/W6630288020","https://openalex.org/W6676905403","https://openalex.org/W6679279041","https://openalex.org/W6685748179","https://openalex.org/W6714178534","https://openalex.org/W6791033891","https://openalex.org/W7015307661"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W2952050240","https://openalex.org/W2568623927","https://openalex.org/W2085436476","https://openalex.org/W2025666718","https://openalex.org/W1959156040","https://openalex.org/W4246056924"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,12,15,46,62,73,95,122,127,141,145,149,153,161,166,177,221],"goal":[4],"is":[5,30,69,157,164,206],"to":[6,71,192],"design":[7],"deterministic":[8,76,137],"sampling":[9,89,163,203,217,226],"patterns":[10,90,218],"on":[11,61,144,176],"sphere":[13],"and":[14,54,77,100,147],"rotation":[16,63],"group":[17],"and,":[18],"thereby,":[19],"construct":[20,134],"sensing":[21,35,79,92,194],"matrices":[22,93,138,195],"for":[23,58,104,121,187],"sparse":[24,59,105],"recovery":[25,60],"of":[26,39,42,75,85,129,224],"band-limited":[27],"functions.":[28],"It":[29,156],"first":[31],"shown":[32,158],"that":[33,83,159,173],"random":[34,40,225],"matrices,":[36],"which":[37,125,190],"consists":[38],"samples":[41,143],"Wigner":[43],"D-functions,":[44],"satisfy":[45],"Restricted":[47],"Isometry":[48],"Property":[49],"(RIP)":[50],"with":[51,94,196],"proper":[52],"preconditioning":[53],"can":[55,184],"be":[56,185],"used":[57,70,87],"group.":[64],"The":[65],"mutual":[66,98,123,150,167],"coherence,":[67,99,124],"however,":[68,183],"assess":[72],"performance":[74],"regular":[78,88,130,142,202],"matrices.":[80],"We":[81,133],"show":[82],"many":[84],"widely":[86],"yield":[91],"worst":[96],"possible":[97],"therefore":[101],"are":[102],"undesirable":[103],"recovery.":[106],"Using":[107],"tools":[108],"from":[109],"angular":[110],"momentum":[111],"analysis":[112],"in":[113,210],"quantum":[114],"mechanics,":[115],"we":[116],"provide":[117],"a":[118,170],"new":[119,193],"expression":[120],"encourages":[126],"use":[128],"elevation":[131,146,162,178],"samples.":[132,179],"low":[135],"coherence":[136,151,168,198],"by":[139],"fixing":[140],"minimizing":[148],"over":[152],"azimuth-polarization":[154],"choice.":[155],"once":[160],"fixed,":[165],"has":[169],"lower":[171,181],"bound":[172],"depends":[174],"only":[175],"This":[180,205],"bound,":[182],"achieved":[186],"spherical":[188],"harmonics,":[189],"leads":[191],"better":[197],"than":[199],"other":[200],"representative":[201],"patterns.":[204,227],"reflected":[207],"as":[208],"well":[209],"our":[211,215],"numerical":[212],"experiments":[213],"where":[214],"proposed":[216],"perfectly":[219],"match":[220],"phase":[222],"transition":[223]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2019-05-03T00:00:00"}
