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研究生: 蘇文森
Su, Wen-Sen
論文名稱: 複音音樂訊號之音高與諧波資訊分析
Pitch and Partial Tracking of Polyphonic Musical Signals
指導教授: 蘇文鈺
Su, W. Y. Alvin
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 資訊工程學系
Department of Computer Science and Information Engineering
論文出版年: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 55
中文關鍵詞: 基頻估測諧波追蹤
外文關鍵詞: HMM, Hidden Markov Model
相關次數: 點閱:63下載:2
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  • 複音音樂的音高分析一直是困難的課題之一,在一個時間點內會有多的音高出現,要正確的分辨出是音高或者是諧波不是一件容易的事。
    此系統主要是分析複音音訊的音高(pitch)以及諧波(partial)的資訊,主要的目的是希望能夠透過分析音訊結果與其他樂器模型相結合,以便我們用不同的樂器來做合成。此系統包含了尋找複音音樂的基頻以及諧波,並透過隱藏式馬可夫模型(Hidden Markov Model, HMM)將不同音框(frame)的基頻和諧波串連起來。
    首先我們利用音樂特性:諧波頻率理論上為基頻倍數,運用最大公因數投票機制來找出基頻的資訊,再透過基頻資訊找出相對應的整個泛音結構,最後透過HMM找出整首音訊的音高與諧波資訊。
    有了這些資訊,我們就可以分析出演奏者的手法,進而與其他樂器合成;這樣的作法,相當於用另一種樂器來演奏原來的樂曲,還能保有原來演奏者的手法。

    It is one of the most difficult issues to analyze the fundamental frequency (F0) of polyphonic music signal. There are usually many pitches at the same time, so it is hard to recognize each pitch or the corresponding partials correctly.
    The main target of this system is to analyze pitches and partials information of polyphonic music signal. We wish to combine the parameters with other musical instrument models to synthesize. This system contains F0 and partial detection, and by Hidden Markov Model (HMM), we can track pitches and partials cross analyzed frames.
    This system comprises several parts. First of all, we detect F0s by WGCDV (weighted greatest common divisor and vote) based on WGCDV. Second, we extract the harmonic structure. Finally, we track the pitches and partials of the whole music signal using HMM.
    With the above information, we can analyze the styles of the performers and then we may also synthesize using other model of music instrument.

    中文摘要 I Abstract II 誌謝 III 目錄 IV 圖目錄 VI 第一章 序論 - 1 - 1.1 動機 - 1 - 1.2 相關研究 - 2 - 1.2.1 Partial tracking based on future trajectories exploration - 2 - 1.2.2 Mnltiple-F0 tracking based on a high-order HMM note model - 4 - 第二章 系統架構 - 7 - 2.1 背景介紹 - 7 - 2.2 系統流程 - 8 - 第三章 選取基頻與泛音 - 10 - 3.1 基頻估測 - 11 - 3.1.1 噪聲基底 - 11 - 3.1.2 萃取候選音點 - 13 - 3.1.3 基頻估測 - 15 - 3.2 尋找泛音 - 20 - 3.3 增加虛擬泛音 - 22 - 第四章 諧波追蹤 - 25 - 4.1 隱藏式馬可夫模型(HMM) - 25 - 4.1.1 兩個狀態的隱藏式馬可夫模型 - 28 - 4.1.2 二維高斯分佈 - 30 - 4.2 計算權重 - 32 - 4.3 最佳路徑 - 35 - 4.4 平滑化 - 36 - 4.5 內插 - 37 - 4.6 Refinement - 38 - 第五章 實驗結果 - 39 - 5.1 小提琴midi音檔 - 39 - 5.2 真實鋼琴錄音 - 41 - 5.3 真實古琴錄音 - 43 - 5.4 巴哈無伴奏 - 45 - 5.5 蕭邦-Ballade No. 1 in G minor Op. 23 - 47 - 5.6 有無泛音結構的比較 - 49 - 第六章 結論與未來展望 - 52 - 6.1 結論 - 52 - 6.2 未來展望 - 52 - 參考文獻 - 54 -

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