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研究生:周照庭
研究生(外文):Jhao-Ting Jhou
論文名稱:以區間移動和低頻調變所生成的人造鋼琴音樂
論文名稱(外文):Two Methods to Generate Artificial Piano Music Notes by Software
指導教授:劉國有劉國有引用關係
指導教授(外文):Kuo-Yu Liu
口試委員:曾怜玉徐熊健
口試委員(外文):LIAN-YU ZENGSYONG-JIAN SYU
口試日期:2015-07-23
學位類別:碩士
校院名稱:靜宜大學
系所名稱:資訊傳播工程學系
學門:傳播學門
學類:一般大眾傳播學類
論文種類:學術論文
論文出版年:2015
畢業學年度:104
語文別:英文
論文頁數:46
中文關鍵詞:傅立葉轉換反傅立葉轉換音階數位訊號樂器模擬
外文關鍵詞:music tonesdigital signalDiscrete Fourier TransformDiscrete Inverse Fourier Transforminstruments simulation
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在很久之前,音樂早在生活中扮演不可缺少的重要角色。而樂曲是由多個音符所編寫的,每個音符表示音階及演奏長度,如果利用電腦產生音樂,可以利用MIDI音符庫檔來產生音符,但研究是要建立我國自己的鋼琴資料庫。本研究使用MATLAB將一個鋼琴的中央C(DO)加以傅立葉頻譜的分析,利用這個中央C(DO) 的頻譜,從而產生鋼琴上所有鍵的聲音,在過去,暨南大學的鄭嘉緯同學做了這個研究,但所產生的音符資料庫不夠完全,所以正在努力有一個完全的鋼琴資料庫。在報告的最後,附上了產生的卡農音樂,並會繼續地改進系統。

對研究而言有兩個機制,第一,要能產生音樂而且要使所產生的音樂檔案要能夠經由播放軟體播放音樂,目前最廣為被使用的是media player 及 real player ,因此所產生的音樂要能符合他們的格式,第二要能夠做傅力葉轉換,matlab有傅力葉轉換的能力,目前幾乎所有的研究人員,都會使用matlab來做傅力葉轉換,在此要感謝劉國有教授和清華大學的李家同教授及他們的學生,使我至少在傅力葉轉換及matlab跨入了門檻。

Music has played a great role in human life. Every piece of music is based upon music notes and every music note is characterized by its tone and its duration. If we want to generate music by computer, we may simply use midi, a music note data base. We, instead of using that data base, will try to establish our own piano music note data base. Our approach is to apply a Fourier transform to one piano music note, namely middle C DO, to obtain a frequency spectrum of middle C DO. Based upon this spectrum, we can generate all of the music notes on a piano. We attach a piece of Cannon produced by us. Further improvement is going to be made in the future.

In this paper, we shall present two methods to generate piano music notes by software. Both methods are based on the Fourier transform analysis. The first method is called the Block Movement Method and the second one is called the Low Frequency Modulation Method. The Block Movement needs a real music note as a seed and the rest of the music notes are generated based upon this seed while the Low Frequency Modulation Method multiplies a very low frequency cosine signal to a summation of cosine signals. Experimental results show that the methods are feasible. We have also established a web-site so that a user may produce music remotely.

摘要 i
Abstract ii
Table of Contents v
Table of Tables vii
Table of Figures viii
Chapter 1 Introduction 1
Chapter 2 The Cosine Signals 2
Chapter3 Basic Mathematics for the Fourier Transform 5
Section 3.1 Phase Shift 5
Section 3.2 Complex Exponential 6
Section 3.3 Euler’s Formula 7
Chapter 4 The Fourier Transform 8
Section 4.1 Sampling 9
Section 4.2 The Transformation from the Time-Domain to the Frequency Domain. 9
Chapter 5 The Physical Meaning of Piano Notes 14
Chapter 6 The Spectrum of Piano 17
Chapter 9 MATLAB Programs Developed for Our Research 29
Chapter 10 The Web Related Programs 34
Chapter 11 Concluding Remarks and Future Work 40
References 41
Appendix 43
Appendix1 Data Base for Music Notes Produced by Block Movement Method 43
Appendix2 Low beat 43
Appendix3 High beat 44
Appendix4 Data Base for Music Notes Low Frequency Modulation 44
Appendix5 Program to connect input waves into an output wave 45

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