Multipitch Analysis with Harmonic Nonnegative Matrix Approximation
Multipitch Analysis with Harmonic Nonnegative Matrix Approximation
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发表时间：
2007
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通讯作者：
S. Raczynski;Nobutaka Ono;S. Sagayama
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作者：
S. Raczynski;Nobutaka Ono;S. Sagayama
本文提出了一种新的方法来多音调分析，利用谐波非负矩阵近似，谐波约束和惩罚版本的非负矩阵近似（NNMA）方法。它还包括一个说明的开始，偏移和振幅检索程序的基础上，该技术。与以前的NNMA方法相比，采用了特定的基矩阵初始化-基矩阵处处初始化为零，但在对应于等律音阶的后续音符的谐波频率的位置处。这导致即使在学习过程之后，基础也只包含谐波结构的向量，并且活动矩阵的行包含对应于音符开始时间和幅度的峰值。此外，相互不相关和行稀疏的额外惩罚被放置在活动矩阵上。所提出的方法是能够发现潜在的音乐结构比以前的NNMA方法，使音符检测过程非常简单。
This paper presents a new approach to multipitch analysis by utilizing the Harmonic Nonnegative Matrix Approximation, a harmonically-constrained and penalized version of the Nonnegative Matrix Approximation (NNMA) method. It also includes a description of a note onset, offset and amplitude retrieval procedure based on that technique. Compared with the previous NNMA approaches, specific initialization of the basis matrix is employed – the basis matrix is initialized with zeros everywhere but at positions corresponding to harmonic frequencies of consequent notes of the equal temperament scale. This results in the basis containing nothing but harmonically structured vectors, even after the learning process, and the activity matrix’s rows containing peaks corresponding to note onset times and amplitudes. Furthermore, additional penalties of mutual uncorrelation and sparseness of rows are placed upon the activity matrix. The proposed method is able to uncover the underlying musical structure better than the previous NNMA approaches and makes the note detection process very straightforward.