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, Alvin W.Y.

AU - Su, Li

N1 - Funding Information:
The authors would like to thank the National Science Council, ROC, for its financial support of this work, under Contract No.MOST 103-2221-E-006-140-MY3.

PY - 2015

Y1 - 2015

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

T2 - 18th International Conference on Digital Audio Effects, DAFx 2015

Y2 - 30 November 2015 through 3 December 2015

ER -