{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T08:57:02Z","timestamp":1758272222261},"reference-count":6,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,12,13]],"date-time":"2006-12-13T00:00:00Z","timestamp":1165968000000},"content-version":"vor","delay-in-days":5766,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1991,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Efficient methods were previously given for measuring the frequency\u2010domain transfer functions, namely Volterra kernels of weakly non\u2010linear systems. the success of these methods depends crucially on the assumption that the <jats:italic>highest significant order<\/jats:italic> of the system under test is known. Practical algorithms for determining the highest significant order of non\u2010linear systems are presented in this paper. Our algorithm can be used not only to validate the measurement results obtained by the methods presented earlier but is also capable of determining whether a Volterra series representation actually <jats:italic>exists<\/jats:italic> for the system under test.<\/jats:p>","DOI":"10.1002\/cta.4490190206","type":"journal-article","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T00:17:01Z","timestamp":1183335421000},"page":"189-209","source":"Crossref","is-referenced-by-count":31,"title":["Measuring volterra kernels III: How to estimate the highest significant order"],"prefix":"10.1002","volume":"19","author":[{"given":"Leon O.","family":"Chua","sequence":"first","affiliation":[]},{"given":"Youlin","family":"Liao","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,12,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1983.1085391"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490170204"},{"key":"e_1_2_1_4_2","volume-title":"The Volterra & Wiener Theories of Nonlinear Systems","author":"Schetzen M.","year":"1980"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/1.3.243"},{"key":"e_1_2_1_6_2","first-page":"4","volume-title":"Table of Integrals, Series and Products","author":"Gradshteyn I. S.","year":"1980"},{"key":"e_1_2_1_7_2","unstructured":"L. O.ChuaandY.Liao VMODEL\u2014software toolkit for nonlinear modeling and validation via Volterra series' in preparation."}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.4490190206","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490190206","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T21:27:24Z","timestamp":1698010044000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490190206"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":6,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1991,3]]}},"alternative-id":["10.1002\/cta.4490190206"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490190206","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}