{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T23:22:19Z","timestamp":1778628139349,"version":"3.51.4"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2012,5]]},"abstract":"<jats:p> We present a new criterion based on instantaneous frequency (IF) to distinguish mono-components (MCs). We first notice that the \"offset of local extremum\" caused by low-frequency envelope is often significant on envelope extraction, which determines the calculation of IF for MCs. We estimate the upper and lower bounds of the offset for a general family of signals. Conducted by the offset estimation, we propose a direct and effective algorithm to calculate IF. Our algorithm, which is based on an empirical pursuit of knots and natural splines, provides an accurate estimation of the envelope and derives a well-behaved IF. A theoretical explanation for the good approximation of proposed envelope is also stated. Experiment results show the fast convergence of our algorithm, which leads to a reliable IF and local mean to provide a flexible criterion for MC classification. We emphasize that it is important to pursue a certain balance among different requirements to define MC depending on specific applications. <\/jats:p>","DOI":"10.1142\/s0219691312500282","type":"journal-article","created":{"date-parts":[[2012,2,22]],"date-time":"2012-02-22T04:50:14Z","timestamp":1329886214000},"page":"1250028","source":"Crossref","is-referenced-by-count":1,"title":["A DIRECT EVALUATION OF MONO-COMPONENTS BY INSTANTANEOUS FREQUENCY"],"prefix":"10.1142","volume":"10","author":[{"given":"KAIFU","family":"NIU","sequence":"first","affiliation":[{"name":"LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LIZHONG","family":"PENG","sequence":"additional","affiliation":[{"name":"LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SILONG","family":"PENG","sequence":"additional","affiliation":[{"name":"Institute of Automation, The Chinese Academy of Sciences, Beijing 100190, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1998.0193"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S1793536909000096"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.901155"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61342-5"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.917360"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691310003791"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691308002392"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.906771"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-005-0603-z"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691310003420"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691312500282","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T09:08:59Z","timestamp":1565168939000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691312500282"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5]]},"references-count":10,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,5,30]]},"published-print":{"date-parts":[[2012,5]]}},"alternative-id":["10.1142\/S0219691312500282"],"URL":"https:\/\/doi.org\/10.1142\/s0219691312500282","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5]]}}}