{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T05:44:27Z","timestamp":1768455867832,"version":"3.49.0"},"reference-count":85,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T00:00:00Z","timestamp":1604188800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T00:00:00Z","timestamp":1604188800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T00:00:00Z","timestamp":1604188800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia (FCT)\/Minist\u00e9rio da Educa\u00e7\u00e3o e Ci\u00eancia (MEC) Portuguese funds","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"FEDER-PT2020 Partnership Agreement","award":["UID\/EEA\/50008\/2019"],"award-info":[{"award-number":["UID\/EEA\/50008\/2019"]}]},{"DOI":"10.13039\/501100003134","name":"Fonds pour la Formation a la Recherche dans l\u2019Industrie et dans l\u2019Agriculture (FIRA)\/Fonds national de la recherche scientifique","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003134","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002661","name":"Fonds de la Recherche Scientifique (FRS)-FNRS","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002661","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2020,11]]},"DOI":"10.1109\/tit.2020.2992852","type":"journal-article","created":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T20:25:57Z","timestamp":1588796757000},"page":"7253-7273","source":"Crossref","is-referenced-by-count":14,"title":["Close Encounters of the Binary Kind: Signal Reconstruction Guarantees for Compressive Hadamard Sampling With Haar Wavelet Basis"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6751-2698","authenticated-orcid":false,"given":"Amirafshar","family":"Moshtaghpour","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0166-5149","authenticated-orcid":false,"given":"Jose M.","family":"Bioucas-Dias","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6261-0328","authenticated-orcid":false,"given":"Laurent","family":"Jacques","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref73","author":"horadam","year":"2012","journal-title":"Hadamard Matrices and their Applications"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1109\/TEMC.1983.304153"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1080\/14786446708639914"},{"key":"ref70","first-page":"281","article-title":"Complex Hadamard matrices and the spectral set conjecture","volume":"57","author":"kolounzakis","year":"2006","journal-title":"Collect Math"},{"key":"ref76","year":"2007","journal-title":"SPGL1 A Solver for Large-Scale Sparse Reconstruction"},{"key":"ref77","year":"2018","journal-title":"Spot—A Linear-Operator Toolbox"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862083"},{"key":"ref39","article-title":"Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing","author":"thesing","year":"2019","journal-title":"arXiv 1909 01143"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1137\/080714488"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/SAMPTA.2017.8024449"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.2307\/2337118"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1109\/TNS.1974.6499235"},{"key":"ref33","first-page":"1","article-title":"Compressive hyperspectral imaging using coded Fourier transform interferometry","author":"moshtaghpour","year":"2017","journal-title":"Proc Signal Process Adapt Sparse Struct Represent Workshop (SPARS)"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/18M1214111"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2018.8451347"},{"key":"ref30","first-page":"65","article-title":"Coded-illumination Fourier transform interferometry","author":"moshtaghpour","year":"2016","journal-title":"the Golden Jubilee Meeting of the Royal Belgian Society for Microscopy (RBSM)"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/BF03549616","article-title":"Linear reconstructions and the analysis of the stable sampling rate","volume":"17","author":"thesing","year":"2018","journal-title":"Sampling Theory Signal Image Process"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2018.08.004"},{"key":"ref35","article-title":"Coherence estimates between Hadamard matrices and Daubechies wavelets","author":"antun","year":"2016"},{"key":"ref34","first-page":"27","article-title":"Compressive hyperspectral imaging with Fourier transform interferometry","author":"moshtaghpour","year":"2016","journal-title":"Proc 3rd Int Traveling Workshop Interact Between Sparse Models Technol"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2162263"},{"key":"ref62","author":"mallat","year":"2008","journal-title":"A Wavelet Tour of Signal Processing The Sparse Way"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2288639"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/38.376616"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2016.2550101"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160440202"},{"key":"ref27","article-title":"Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling","author":"adcock","year":"2019","journal-title":"arXiv 1905 00126"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/78.771035"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/18.119733"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.21391"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1034276621"},{"key":"ref68","first-page":"240","article-title":"Resolution d’une question relative aux determinants","volume":"2","author":"hadamard","year":"1893","journal-title":"Bull Sci Math"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/BF01231494"},{"key":"ref2","first-page":"78","article-title":"Single pixel hyperspectral imaging using Fourier transform interferometry","author":"moshtaghpour","year":"2019","journal-title":"Proc Int Biomed Astronomical Signal Process (BASP) Frontiers Workshop"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2019.8683396"},{"key":"ref20","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-4948-7","volume":"1","author":"foucart","year":"2013","journal-title":"A Mathematical Introduction to Compressive Sensing"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2005.05.029"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.858979"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2412912"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2032889"},{"key":"ref26","first-page":"1","article-title":"Compressive sensing and structured random matrices","volume":"9","author":"rauhut","year":"2010","journal-title":"Theoretical Foundations and Numerical Methods for Sparse Recovery"},{"key":"ref25","article-title":"On oracle-type local recovery guarantees in compressed sensing","author":"adcock","year":"2018","journal-title":"arXiv 1806 03789"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1126\/science.1234454"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/LGRS.2008.2010959"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2009.04.002"},{"key":"ref58","first-page":"46","article-title":"The Haar-recursive transform and its consequence to the Walsh-Paley spectrum and the autocorrelation function","volume":"6","author":"rafiq","year":"2016","journal-title":"Int J Eng Res Appl"},{"key":"ref57","article-title":"Compressive imaging using fast transform coding","volume":"9992","author":"thompson","year":"2016","journal-title":"Proc SPIE"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1049\/ip-vis:19960760"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1972.8719"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-73074-5_3"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1117\/12.659602"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1063\/1.2989126"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/3\/008"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-16042-9_5"},{"key":"ref40","first-page":"1","article-title":"Hyperspectral analysis of normal and malignant colon tissue microarray sections using a novel DMD system","author":"davis","year":"2004","journal-title":"NIH Optical Imaging Workshop"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/CAMSAP.2015.7383788"},{"key":"ref13","first-page":"1","article-title":"Compressive hyperspectral imaging: Fourier transform interferometry meets single pixel camera","author":"moshtaghpour","year":"2018","journal-title":"Proc Int Traveling Workshop Interact Between Low-Complexity Data Models Sens Techn (iTWIST)"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1017\/fms.2016.32"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2013.2288004"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1109\/78.175736"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2011.2163712"},{"key":"ref81","article-title":"Analyzing the structure of multidimensional compressed sensing problems through coherence","author":"jones","year":"2016","journal-title":"arXiv 1610 07497"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2524628"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1137\/1031127"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2017.05.005"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00393-9"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2017.05.006"},{"key":"ref80","article-title":"On fundamentals of models and sampling in compressed sensing","author":"roman","year":"2015"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"ref3","first-page":"1","article-title":"Performance of compressive sensing for Hadamard-Haar systems","author":"moshtaghpour","year":"2019","journal-title":"Proc Signal Process Adapt Sparse Struct Represent Workshop (SPARS)"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914728"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.885507"},{"key":"ref85","first-page":"10","article-title":"Quantum wavelet transforms: Fast algorithms and complete circuits","author":"fijany","year":"1998","journal-title":"Proc NASA Int Conf Quantum Comput Quantum Commun"},{"key":"ref8","article-title":"On asymptotic structure in compressed sensing","author":"roman","year":"2014","journal-title":"arXiv 1406 4178"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1119511109"},{"key":"ref49","first-page":"13","article-title":"Compressive imaging for video representation and coding","volume":"1","author":"wakin","year":"2006","journal-title":"Proc Picture Coding Symp"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914730"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1364\/OE.25.004975"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1038\/srep45209"},{"key":"ref48","article-title":"Application of spatial light modulators for new modalities in spectrometry and imaging","author":"deverse","year":"2004"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1364\/OE.25.019619"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1088\/2040-8978\/18\/3\/035203"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2013.6738433"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1364\/OL.38.002524"},{"key":"ref43","first-page":"272","article-title":"OBIC measurements without lasers or raster-scanning based on compressive sensing","author":"sun","year":"2009","journal-title":"Proc Int Symp Testing Failure Anal"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9234771\/09088137.pdf?arnumber=9088137","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,23]],"date-time":"2022-10-23T06:01:57Z","timestamp":1666504917000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9088137\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11]]},"references-count":85,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tit.2020.2992852","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11]]}}}