{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T19:25:54Z","timestamp":1776885954340,"version":"3.51.2"},"reference-count":30,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2010,5,1]],"date-time":"2010-05-01T00:00:00Z","timestamp":1272672000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Audio Speech Lang. Process."],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1109\/tasl.2009.2035211","type":"journal-article","created":{"date-parts":[[2009,11,3]],"date-time":"2009-11-03T18:37:25Z","timestamp":1257273445000},"page":"747-759","source":"Crossref","is-referenced-by-count":35,"title":["Volterra Series and State Transformation for Real-Time Simulations of Audio Circuits Including Saturations: Application to the Moog Ladder Filter"],"prefix":"10.1109","volume":"18","author":[{"given":"Thomas","family":"Helie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref30","author":"abramowitz","year":"1970","journal-title":"Handbook of Mathematical Functions"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1080\/002071704200024365"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2008.01.038"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/MED.2008.4602096"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1162\/comj.2009.33.2.85","article-title":"a review of digital techniques for modeling vacuum-tube guitar amplifiers","volume":"33","author":"pakarinen","year":"2009","journal-title":"Comput Music J"},{"key":"ref14","author":"press","year":"1992","journal-title":"Numerical Recipes in FORTRAN The Art of Scientific Computing"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ASPAA.1997.625617"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/NDS.2005.195339","article-title":"efficient computation of nonlinear filter networks with delay-free loops and applications to physically-based sound models","author":"avanzini","year":"2005","journal-title":"The Fourth International Workshop on Multidimensional Systems 2005 NDS 2005 NDS-05"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.928090"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511530074"},{"key":"ref19","author":"hardy","year":"2000","journal-title":"Divergent Series"},{"key":"ref28","author":"schetzen","year":"1989","journal-title":"The Volterra and Wiener Theories of Nonlinear Systems"},{"key":"ref4","author":"stinchcombe","year":"2005","journal-title":"Derivation of the transfer function of the Moog ladder filter"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/0325019"},{"key":"ref3","first-page":"61","article-title":"non-linear digital implementation of the moog ladder filter","author":"huovilainen","year":"2004","journal-title":"Proc Int Conf Digital Audio Effects"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1162\/comj.2006.30.2.19"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2009.5400775"},{"key":"ref5","article-title":"virtual acoustic musical instruments: review of models and selected research","author":"smith","year":"2005","journal-title":"Proc Workshop Appl Signal Process Audio Acoust (WASPAA)"},{"key":"ref8","author":"volterra","year":"1959","journal-title":"Theory of Functionals and of Inegro and Integro-Differential Equations"},{"key":"ref7","first-page":"7","article-title":"on the use of volterra series for real-time simulations of weakly nonlinear analog audio devices: application to the moog ladder filter","volume":"9","author":"hlie","year":"2006","journal-title":"Proc Int Conf Digital Audio Effects"},{"key":"ref2","first-page":"398","article-title":"analyzing the moog vcf with considerations for digital implementation","author":"stilson","year":"1996","journal-title":"Proc Int Computer Music Conf"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/1.3.243"},{"key":"ref1","first-page":"1","article-title":"a voltage-controlled low-pass high-pass filter for audio signal processing","author":"moog","year":"1965","journal-title":"Proc 17th AES Conv"},{"key":"ref20","author":"lamnabhi-lagarrigue","year":"1994","journal-title":"Analyse et Commande des Systmes Non Linaires"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(76)90080-7"},{"key":"ref21","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84628-615-5","author":"isidori","year":"1995","journal-title":"Nonlinear Control Systems"},{"key":"ref24","author":"rugh","year":"1981","journal-title":"Nonlinear System Theory The Volterra\/Wiener Approach"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1977.1101643"},{"key":"ref26","author":"boyd","year":"1985","journal-title":"Volterra series Engineering fundamentals"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1983.1085397"}],"container-title":["IEEE Transactions on Audio, Speech, and Language Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/10376\/5446581\/05299078.pdf?arnumber=5299078","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T01:00:30Z","timestamp":1633914030000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5299078\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5]]},"references-count":30,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tasl.2009.2035211","relation":{},"ISSN":["1558-7916"],"issn-type":[{"value":"1558-7916","type":"print"}],"subject":[],"published":{"date-parts":[[2010,5]]}}}