鄭士康臺灣大學:電信工程學研究所梁伯達Liang, Po-TaPo-TaLiang2007-11-272018-07-052007-11-272018-07-052007http://ntur.lib.ntu.edu.tw//handle/246246/58907This study applies the Hilbert-Huang Transform (HHT) as a tool for dongxiao timbre analysis, and compares the results with those of Short-Time Fourier Transform. Because the donxiao timbre is not very stationary (especially at the beginning of the timbre), the results of these two methods have some significant difference. After the analysis part, some efforts are tried in order to reduce the amount of data needed for the synthesis part. However, the implementation of HHT needs to be refined further and the physical meaning of the result needs more investigation.口試委員會審定書.........................................................................................................i 誌謝.................................................................................................................................ii Abstract..........................................................................................................................iii 中文摘要........................................................................................................................iv Chapter 1. Introduction………………………………………………………………1 1.1 Motivation………………………………………………………………………..1 1.2 Introduction of dongxiao…………………………………………………………2 1.3 Traditional frequency analysis methods………………………………………….4 1.4 Traditional synthesis methods……………………………………………………8 1.5 Thesis outline……………………………………………………………………10. Chapter 2. Hilbert-Huang Transform……………………………………………….11 2-1 Basic structure of Hilbert-Huang Transform……………………………………11 2-2 Extracting IMFs by means of EMD……………………………………………..11 2-3 Applying Hilbert Transform……………………………………………………..13 2-4 Side effects of HHT……………………………………………………………...14 Chapter 3. Numerical Results of Analysis and Discussions………………………...16 Chapter 4. Synthesis…………………………………………………………………..20 4.1 Linear regression………………………………………………………………...20 4.2 Amplitude and frequency modulation synthesis based on result of HHT……….22 Chapter5. Conclusions………………..………………………………………………28 References………………………………..……………………………………………29296121 bytesapplication/pdfen-US洞簫音色分析合成Hilbert-Huang Transformnon-stationarydongxiaosoundanalysissynthesis洞簫音色之Hilbert-Huang Transform(HHT)分析HILBERT-HUANG TRANSFORM ANALYSIS OF SOUND OF VERTICAL BAMBOO FLUTE (DONGXIAO)thesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/58907/1/ntu-96-R94942045-1.pdf