Common Fate Model for Unison Source Separation – Common Fate Model – Demo: Sax + Flute

Common Fate Model for Unison Source Separation

Fabian-Robert Stöter, Antoine Liutkus, Roland Badeau, Bernd Edler, Paul Magron

March 21, 2016

Formulas

$$\forall\left(a,b,f,t\right),x\left(a,b,f,t\right)=\sum\nolimits_{j}s_{j}\left(a,b,f,t\right)$$

$$P_{j}^{\alpha}\left(a,b,f,t\right)=A_{j}\left(a,b,f\right)H_{j}\left(t\right)$$

Models

• NMF: Non-Negative Matrix Factorization $V(f,t) = W(f)\times H(t)$
• CFM: Common Fate Model, $V(a,b,f,t) = P(a,b,f)\times H(t)$
• HR-NMF: High Resolution NMF model, Subband AR filtering of NMF excitation
• MOD: Barker 2013 $V(f,m,t) = W(f)\times A(m)\times H(t)$
• CFMM: Common Fate Magnitude Model, $V(a,b,f,t) = P(a,b,f)\times H(t)$
• CFMMOD: CFMM with $a=1$, $V(a,b,f,t) = P(a,b,f)\cdot H(t)$

Evaluation Results

Number of Components