Additive & Spectral: Partial Tracking

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

Monophonic

  • STFT

    A short term fourier transform segments a signal into frames of equal length.

  • Fundamental Frequency Estimation - YIN (de Cheveigné 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.