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Extracting Individual Tracks from Polyphonic Music

Extracting Individual Tracks from Polyphonic Music. Nick Starr, Computer Systems Lab. Source Separation. • "Cocktail Party" analogy • Magnetoencephalography (MEG) - Brain imaging with magnetic fields • Music. Source Separation (cont). x = Observed s = Source a = Mixing constants

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Extracting Individual Tracks from Polyphonic Music

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  1. Extracting Individual Tracks from Polyphonic Music Nick Starr, Computer Systems Lab

  2. Source Separation • "Cocktail Party" analogy • Magnetoencephalography (MEG) - Brain imaging with magnetic fields • Music

  3. Source Separation (cont) x = Observed s = Source a = Mixing constants • x is known • a can be computed • With x and a known, s can be solved for

  4. Methods of Source Separation • Principal Components Analysis • Computational Auditory Scene Analysis • Independent Component Analysis

  5. Fourier Transforms

  6. Fourier Transforms (cont) The Math: The Explanation: • Maps domain from time to frequency • Easily invertible • Many different computational techniques

  7. Fourier Transforms (cont)

  8. Independent Component Analysis • Decomposition     • Fourier Transform, separate moduli and phases     • Matrices, matrices, matrices • Classification     • Center of research     • Separate important parts from unimportant • Recombination     • Bring back the phases     • Combine with classified moduli     • Inverse Fourier Transform

  9. Results Segmentation fault

  10. Challenges • Understanding the math • C and GSL • Mathematica File I/O

  11. Questions?

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