### 摘要

In note separation of polyphonic music, how to separate the overlapping partials is an important and difficult problem. Fifths and octaves, as the most challenging ones, are, however, usually seen in many cases. Non-negative matrix factorization (NMF) employs the constraints of energy and harmonic ratio to tackle this problem. Recently, complex matrix factorization (CMF) is proposed by combining the phase information in source separation problem. However, temporal magnitude modulation is still serious in the situation of fifths and octaves, when CMF is applied. In this work, we investigate the temporal smoothness model based on CMF approach. The temporal ac-tivation coefficient of a preceding note is constrained when the succeeding notes appear. Compare to the unconstraint CMF, the magnitude modulation are greatly reduced in our computer simulation. Performance indices including sourceto- interference ratio (SIR), source-to-artifacts ratio (SAR), sourceto- distortion ratio (SDR), as well as modulation error ratio (MER) are given.

原文 | English |
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出版狀態 | Published - 2015 一月 1 |

事件 | 18th International Conference on Digital Audio Effects, DAFx 2015 - Trondheim, Norway 持續時間: 2015 十一月 30 → 2015 十二月 3 |

### Other

Other | 18th International Conference on Digital Audio Effects, DAFx 2015 |
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國家 | Norway |

城市 | Trondheim |

期間 | 15-11-30 → 15-12-03 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Computer Science Applications
- Signal Processing
- Acoustics and Ultrasonics
- Music

### 引用此文

*Separation of musical notes with highly overlapping partials using phase and temporal constrained complex matrix factorization*. 論文發表於 18th International Conference on Digital Audio Effects, DAFx 2015, Trondheim, Norway.

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**Separation of musical notes with highly overlapping partials using phase and temporal constrained complex matrix factorization.** / Lin, Yi Ju; Wang, Yu Lin; Su, Wen-Yu; Su, Li.

研究成果: Paper

TY - CONF

T1 - Separation of musical notes with highly overlapping partials using phase and temporal constrained complex matrix factorization

AU - Lin, Yi Ju

AU - Wang, Yu Lin

AU - Su, Wen-Yu

AU - Su, Li

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In note separation of polyphonic music, how to separate the overlapping partials is an important and difficult problem. Fifths and octaves, as the most challenging ones, are, however, usually seen in many cases. Non-negative matrix factorization (NMF) employs the constraints of energy and harmonic ratio to tackle this problem. Recently, complex matrix factorization (CMF) is proposed by combining the phase information in source separation problem. However, temporal magnitude modulation is still serious in the situation of fifths and octaves, when CMF is applied. In this work, we investigate the temporal smoothness model based on CMF approach. The temporal ac-tivation coefficient of a preceding note is constrained when the succeeding notes appear. Compare to the unconstraint CMF, the magnitude modulation are greatly reduced in our computer simulation. Performance indices including sourceto- interference ratio (SIR), source-to-artifacts ratio (SAR), sourceto- distortion ratio (SDR), as well as modulation error ratio (MER) are given.

AB - In note separation of polyphonic music, how to separate the overlapping partials is an important and difficult problem. Fifths and octaves, as the most challenging ones, are, however, usually seen in many cases. Non-negative matrix factorization (NMF) employs the constraints of energy and harmonic ratio to tackle this problem. Recently, complex matrix factorization (CMF) is proposed by combining the phase information in source separation problem. However, temporal magnitude modulation is still serious in the situation of fifths and octaves, when CMF is applied. In this work, we investigate the temporal smoothness model based on CMF approach. The temporal ac-tivation coefficient of a preceding note is constrained when the succeeding notes appear. Compare to the unconstraint CMF, the magnitude modulation are greatly reduced in our computer simulation. Performance indices including sourceto- interference ratio (SIR), source-to-artifacts ratio (SAR), sourceto- distortion ratio (SDR), as well as modulation error ratio (MER) are given.

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M3 - Paper

AN - SCOPUS:85030183340

ER -