Additive & Spectral: Partial Tracking

Partial tracking is the process of detecting single sinusoidal components in a signal and obtaining their individual amplitude, frequency and phase trajectories.

Monophonic Partial Tracking

  • STFT
    • A short term Fourier transform segments a signal into frames of equal length.

  • Fundamental Frequency Estimation
    • YIN (de Cheveign√© et al, 2002)

    • Swipe (Camacho, 2007)

  • Peak Detection
    • For every STFT frame, local maxima are calculated in the range of integer multiples of the fundamental frequency.

/images/Sound_Synthesis/spectral_analysis/amplitudes.png

Trajectories of partial amplitudes for a violin sound.

/images/Sound_Synthesis/spectral_analysis/frequencies.png

Trajectories of partial frequencies for a violin sound.

/images/Sound_Synthesis/spectral_analysis/phases.png

Trajectories of unwrapped partial phases for a violin sound.