ICA for modelling and generating organ pipes self-sustained tones

Acoustic signals emitted by organ pipes in a variety of experimental frameworks have been recorded and analyzed by using independent component analysis. Starting from this analysis, relevant features of the signals related to single tones of the chords have been extracted. Three Landau modes are extracted with three well defined frequencies. Following the dynamical systems approach, a simple and suitable analogical model, able to reproduce the registered waveform and sound in listening, have been constructed. The conclusion is that, in first approximation, the low dimensional dynamical system representing on average the fluid-dynamical equations modelling organ pipe is constituted by three linearly coupled nonlinear oscillators in limit cycle regime.