{"id":"https://openalex.org/W2141116650","doi":"https://doi.org/10.1109/tit.2009.2034811","title":"Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals","display_name":"Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2141116650","doi":"https://doi.org/10.1109/tit.2009.2034811","mag":"2141116650"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2034811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034811","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0902.0026","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000879912","display_name":"Joel A. Tropp","orcid":"https://orcid.org/0000-0003-1024-1791"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joel A. Tropp","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070064624","display_name":"Jason N. Laska","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jason N. Laska","raw_affiliation_strings":["Rice University, Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079975633","display_name":"Marco F. Duarte","orcid":"https://orcid.org/0000-0001-8410-3266"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marco F. Duarte","raw_affiliation_strings":["Princeton University, Princeton, NJ, USA","Rice University, Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108137552","display_name":"Justin Romberg","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin K. Romberg","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072713767","display_name":"Richard G. Baraniuk","orcid":"https://orcid.org/0000-0002-0721-8999"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard G. Baraniuk","raw_affiliation_strings":["Rice University, Houston, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":84.9235,"has_fulltext":false,"cited_by_count":1094,"citation_normalized_percentile":{"value":0.99964238,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"56","issue":"1","first_page":"520","last_page":"544"},"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9977999925613403,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9970999956130981,"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/nyquist-rate","display_name":"Nyquist rate","score":0.8450957536697388},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.7860976457595825},{"id":"https://openalex.org/keywords/demodulation","display_name":"Demodulation","score":0.7651820182800293},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.6900773048400879},{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.6529834270477295},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6340128183364868},{"id":"https://openalex.org/keywords/wideband","display_name":"Wideband","score":0.6095227599143982},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5352502465248108},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4945847690105438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.478034108877182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44993308186531067},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.44907835125923157},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.413467675447464},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.40133488178253174},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.29119300842285156},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22483152151107788},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.20853930711746216},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.16873088479042053},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.08436429500579834},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.080712229013443},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.07263228297233582},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.06948894262313843}],"concepts":[{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.8450957536697388},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.7860976457595825},{"id":"https://openalex.org/C195251586","wikidata":"https://www.wikidata.org/wiki/Q1185939","display_name":"Demodulation","level":3,"score":0.7651820182800293},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.6900773048400879},{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.6529834270477295},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6340128183364868},{"id":"https://openalex.org/C2780202535","wikidata":"https://www.wikidata.org/wiki/Q4524457","display_name":"Wideband","level":2,"score":0.6095227599143982},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5352502465248108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4945847690105438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.478034108877182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44993308186531067},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.44907835125923157},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.413467675447464},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.40133488178253174},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.29119300842285156},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22483152151107788},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.20853930711746216},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.16873088479042053},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.08436429500579834},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.080712229013443},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.07263228297233582},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.06948894262313843},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2009.2034811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034811","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0902.0026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0902.0026","pdf_url":"https://arxiv.org/pdf/0902.0026","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"},{"id":"pmh:oai:authors.library.caltech.edu:17210","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/17210/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.148.1592","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.1592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-dsp.rice.edu/files/publications/journal-article/2009/beyondny-tit-2009.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.764.7063","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.764.7063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0902.0026.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0902.0026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0902.0026","pdf_url":"https://arxiv.org/pdf/0902.0026","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":78,"referenced_works":["https://openalex.org/W1487278226","https://openalex.org/W1546372806","https://openalex.org/W1546851689","https://openalex.org/W1766888123","https://openalex.org/W1966637115","https://openalex.org/W1986545790","https://openalex.org/W1986931325","https://openalex.org/W1996287810","https://openalex.org/W1996692478","https://openalex.org/W1997889147","https://openalex.org/W2002856148","https://openalex.org/W2009702064","https://openalex.org/W2010236565","https://openalex.org/W2010315317","https://openalex.org/W2010669260","https://openalex.org/W2012365979","https://openalex.org/W2015386996","https://openalex.org/W2020390700","https://openalex.org/W2020775053","https://openalex.org/W2030449718","https://openalex.org/W2071824193","https://openalex.org/W2086869478","https://openalex.org/W2087238370","https://openalex.org/W2091256848","https://openalex.org/W2095546965","https://openalex.org/W2095595785","https://openalex.org/W2095978736","https://openalex.org/W2096504426","https://openalex.org/W2096613063","https://openalex.org/W2097476744","https://openalex.org/W2099100030","https://openalex.org/W2103164394","https://openalex.org/W2103300762","https://openalex.org/W2104793725","https://openalex.org/W2104800045","https://openalex.org/W2109357213","https://openalex.org/W2109449402","https://openalex.org/W2110005331","https://openalex.org/W2114129195","https://openalex.org/W2115755118","https://openalex.org/W2119883478","https://openalex.org/W2121194215","https://openalex.org/W2123629701","https://openalex.org/W2127271355","https://openalex.org/W2129638195","https://openalex.org/W2129918728","https://openalex.org/W2130345277","https://openalex.org/W2133420216","https://openalex.org/W2134179788","https://openalex.org/W2140122025","https://openalex.org/W2145096794","https://openalex.org/W2146509513","https://openalex.org/W2149213383","https://openalex.org/W2153002160","https://openalex.org/W2153092996","https://openalex.org/W2158537680","https://openalex.org/W2163137752","https://openalex.org/W2164452299","https://openalex.org/W2168156431","https://openalex.org/W2170524206","https://openalex.org/W2201503722","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2478884216","https://openalex.org/W2533057217","https://openalex.org/W2542170364","https://openalex.org/W2949413129","https://openalex.org/W3000082297","https://openalex.org/W3099088829","https://openalex.org/W3100680817","https://openalex.org/W3124114587","https://openalex.org/W4240224188","https://openalex.org/W4250955649","https://openalex.org/W4301425558","https://openalex.org/W4302564868","https://openalex.org/W6647122189","https://openalex.org/W6677721757","https://openalex.org/W6679557231"],"related_works":["https://openalex.org/W2153002160","https://openalex.org/W1964786086","https://openalex.org/W2210983845","https://openalex.org/W2054047433","https://openalex.org/W2119250743","https://openalex.org/W2545081564","https://openalex.org/W2618908398","https://openalex.org/W2124124187","https://openalex.org/W4245974431","https://openalex.org/W2096995356"],"abstract_inverted_index":{"Wideband":[0],"analog":[1],"signals":[2,26],"push":[3],"contemporary":[4],"analog-to-digital":[5],"conversion":[6],"(ADC)":[7],"systems":[8],"to":[9,38,120,140,152],"their":[10],"performance":[11,174],"limits.":[12],"In":[13,138],"many":[14],"applications,":[15],"however,":[16],"sampling":[17,61,126],"at":[18],"the":[19,25,39,43,46,90,96,110,123,132,154,157,161,172,177],"Nyquist":[20,133,141],"rate":[21,127,134],"is":[22,80,128],"inefficient":[23],"because":[24],"of":[27,34,45,57,71,93,135,171],"interest":[28],"contain":[29],"only":[30],"a":[31,52,68,76,167],"small":[32],"number":[33,92],"significant":[35],"frequencies":[36,47,94],"relative":[37],"band":[40,103],"limit,":[41],"although":[42],"locations":[44],"may":[48],"not":[49],"be":[50],"known":[51],"priori.":[53],"For":[54],"this":[55],"type":[56,70],"sparse":[58],"signal,":[59,97],"other":[60],"strategies":[62],"are":[63],"possible.":[64],"This":[65,125,164],"paper":[66,165],"describes":[67],"new":[69],"data":[72],"acquisition":[73],"system,":[74],"called":[75],"random":[77,111,162],"demodulator,":[78],"that":[79,109,175],"constructed":[81],"from":[82,156],"robust,":[83],"readily":[84],"available":[85],"components.":[86],"Let":[87],"K":[88],"denote":[89,101],"total":[91],"in":[95,105],"and":[98],"let":[99],"W":[100,136],"its":[102],"limit":[104],"hertz.":[106,137],"Simulations":[107],"suggest":[108],"demodulator":[112],"requires":[113],"just":[114],"O(K":[115],"log(W/K))":[116],"samples":[117,158],"per":[118],"second":[119],"stably":[121],"reconstruct":[122],"signal.":[124],"exponentially":[129],"lower":[130],"than":[131],"contrast":[139],"sampling,":[142],"one":[143],"must":[144],"use":[145],"nonlinear":[146],"methods,":[147],"such":[148],"as":[149],"convex":[150],"programming,":[151],"recover":[153],"signal":[155],"taken":[159],"by":[160],"demodulator.":[163],"provides":[166],"detailed":[168],"theoretical":[169],"analysis":[170],"system's":[173],"supports":[176],"empirical":[178],"observations.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":30},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":38},{"year":2022,"cited_by_count":35},{"year":2021,"cited_by_count":52},{"year":2020,"cited_by_count":58},{"year":2019,"cited_by_count":101},{"year":2018,"cited_by_count":100},{"year":2017,"cited_by_count":86},{"year":2016,"cited_by_count":77},{"year":2015,"cited_by_count":108},{"year":2014,"cited_by_count":94},{"year":2013,"cited_by_count":101},{"year":2012,"cited_by_count":77}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
