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Music Analysis

Josiah Boning TJHSST Senior Research Project Computer Systems Lab, 2007-2008. Music Analysis. Purpose. Framework for study of audio data Components: Statistical Signal Processing Machine Learning Uses: Aircraft identification Speech recognition and synthesis And more...

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Music Analysis

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  1. Josiah Boning TJHSST Senior Research Project Computer Systems Lab, 2007-2008 Music Analysis

  2. Purpose • Framework for study of audio data • Components: • Statistical • Signal Processing • Machine Learning • Uses: • Aircraft identification • Speech recognition and synthesis • And more... • Ideal: computer recognition of music

  3. Background • Bigarelle and Iost (1999)‏ • Music genre can be identified by fractal dimension • Basilie et al. (2004)‏ • Music genre can be identified by machine learning algorithms • Used discrete MIDI data

  4. Methods • Data Processing • Spectral Analysis: Fourier Transform • Fractal Dimension: Variation and ANAM Methods • Machine Learning • Feed-Forward Neural Network

  5. Time domain to frequency domain Spectral Analysis – Fourier Transform

  6. Fourier Transform

  7. Spectrogram • Many Fourier transforms sequentially

  8. Frequency Aggregate • Horizontal sum of spectrogram

  9. Magnitude Aggregate • Vertical sum of spectrogram • Can perform second Fourier transform

  10. Fractal Dimension • Bigerelle and Iost – used to distinguish genre • Variation Method: • ANAM Method:

  11. Fractal Dimension • Inaccurate calculations • Correct values around 1.6-1.9 • Variation: ~1.16 • ANAM: ~2.25 • Interpolation between samples didn’t help

  12. Machine Learning • Neural networks • Feed-Forward

  13. Neurons • Each node performs weighted, rescaled sum of input values • Scaling: Sigmoid function

  14. Results • Frequency aggregate – songs are similar!

  15. Results • Magnitude and frequency: negative correlation • Not shared bywhite noise • Fourier transform of magnitude aggregate • Meaningless

  16. Where next? • Move code from driver to Fourier module • Otherwise, well organized • Fix fractal dimension calculations • Neural network learning algorithms • Beat detection • Other signal processing techniques

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