基于物理模型的聲音合成技術(shù)理論研究.pdf

1、合肥工業(yè)大學(xué)博士學(xué)位論文基于物理模型的聲音合成技術(shù)理論研究姓名：吳永忠申請學(xué)位級別：博士專業(yè)：計算機應(yīng)用技術(shù)指導(dǎo)教師：韓江洪2003.3.1合肥工業(yè)大學(xué)博士論文ABSTRACTSoundsynthesisteehn【iquesforphysicalmodelareresearchsubjetcsbasedonacousticsandelasticdynamicsandmathematicsandsignalprocessTheystar

2、tfromacontinuousmodelforthevibratingbodygivenbypartialdifferentialequationdependentonelasticdynamicsandtakeitsinitialandboundaryconditions，aswellasexcitationfunctionsintoaccountPhysicalmodelmethodsareabletopreservenotofl

3、lytheinherentphysicalstabilitybutalSOnaturalfrequenciesoftheoscillatingbodyTheyaredi虢rentfromothersonudsynthesismethodspresentingcharacteristicofbodywithrespecttotimeandfrequencydomainIntermofphysicalprinciples，windandst

4、ringandfluteinstruments，andSOon，canbedescribedbytheirOnedimensionalPDEAndthen，drumsandgongsandcymbalsandetccanbedescribedbytheirtwodimensionalPDEThephysicalmodelsforthosesoundsynthesismethodscallexactlydescribemusicalins

5、truments’SfundamentalandharmoniousandinharmoniousfrequencyiesaswellastheirnautralSOUndingprocessTheyCanbeplayedlikerealmusicalinstrumentsrepresentingplayers’Sstrength，velocityandpattern，aswellasemotionSo，themethodsarepla

6、yingveryimportantroleswithinthesoundsynthesisdomaincurrently，withMPEG4publishedandimprovementofcomputer’ScomputationalefficiencyHowevertheyhavebeendevelopingforarelativelyshortertimeasexcellentmethods，since1970’Swhenthey

7、wereproposedNowadays，theystillhaveseveraIimperfectsinprincilpesandapplicationsOneofthoseiSthatfundamentalmodelofoneormulti—dimensionalPDEhavedisadvantagesinsomedegreeanotheristhatitisdifficulttoconstructmathsequationsofi

8、rregularboundaryconditionsandexcitionfunctionsFirstlyabriefoverviewofthepopularsoundsynthesistechniquesisprovidedinthispaperAndthenthefeaturesofthepartialstringandmembraneinstrumentsaredescribedFinallysomeofthedisadvanta

9、gesofexistingphysicalmodelmethodsarediscussedHoweverthekeyproblemstobesolvedinthePa口eraretotestifylimitationsofthemostfamousPDEexistinginoneandtwodimensionalvibratingsystem，andconstructtheirnewmodelsSo，themostimportantre

10、searchachievementsinthisPaDeraresummarizedaSfollow1WetestifylimitationsofthemostfamousonedimensionalPDEforsoundsynthesisfromitsprincilpestoapplicationbaSedonstringinstrument2WeestablishanewonedimensionalvibratingPDEdepen

11、dentonelasticdynamics，andprovethePDEiscorrectaccordingtoitsprinciplesandapplicationsbaesdonstringinstrument3WetestifyIimitationsofthemostfamoustwo—dimensionalPDEforsoundsynthesisinitsprincilpesforrectangleandcirclemembra