{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T06:12:02Z","timestamp":1648707122919},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p> By applying the multiscale method to the M\u00f6bius transformation function, we construct the multiscale analytic sampling approximation (MASA) to any function in the Hardy space [Formula: see text]. The approximation error is estimated, and it is proved that the MASA is robust to sample error. We prove that the MASA can be expressed by a Hankel matrix, making use of which, a fast algorithm is established to compute the MASA. Since what we acquire in practice may well be the samples on time domain instead of the analytic ones on the unit disc of the complex plane, we establish a fast algorithm for acquiring analytic samples. Numerical experiments are carried out to demonstrate the efficiency of the MASA. <\/jats:p>","DOI":"10.1142\/s0219691317500060","type":"journal-article","created":{"date-parts":[[2016,11,2]],"date-time":"2016-11-02T22:57:10Z","timestamp":1478127430000},"page":"1750006","source":"Crossref","is-referenced-by-count":0,"title":["Robust multiscale analytic sampling approximation to periodic function and fast algorithm"],"prefix":"10.1142","volume":"15","author":[{"given":"Youfa","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Shang","sequence":"additional","affiliation":[{"name":"Architectural Engineering Institute, Anyang University, Anyang, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gengrong","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pei","family":"Dang","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Macau University of Science and Technology, Macao"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,1,3]]},"reference":[{"key":"S0219691317500060BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-012-4464-1"},{"key":"S0219691317500060BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2013.06.034"},{"key":"S0219691317500060BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/0724044"},{"key":"S0219691317500060BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.03.021"},{"key":"S0219691317500060BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.02.001"},{"key":"S0219691317500060BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2013.769135"},{"key":"S0219691317500060BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2013.07.009"},{"key":"S0219691317500060BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691313500409"},{"key":"S0219691317500060BIB009","volume-title":"A Wavelet Tour of Signal Processing: The Sparse Way","author":"Mallat S.","year":"2009","edition":"3"},{"key":"S0219691317500060BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.03.002"},{"key":"S0219691317500060BIB011","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02418-X"},{"key":"S0219691317500060BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2168520"},{"key":"S0219691317500060BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-010-9153-4"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691317500060","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:26:14Z","timestamp":1565112374000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691317500060"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":13,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2017,1,3]]},"published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1142\/S0219691317500060"],"URL":"https:\/\/doi.org\/10.1142\/s0219691317500060","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}