Abstract
The acoustic structure has been simply modeled as the linkage of the virtual elements or acoustic particles, each of which was composed of two successive extrema of the filtered waveform with a passing bandwidth of just one octave. The acoustic particle has both energy and the instantaneous frequency, and its distribution is closely related to the complexity of sound or timbre. Both the subjective scores and the sum squared error of the reconstructed sound have ascertained the hypothesis, in which the monotonous curve between the two successive extrema was not perceptible. Although the sinusoidal interpolation between the two successive extrema of the speech and musical data is better than the other four reconstruction techniques by using the linear function, the sigmoid, the cosine cubed and the cosine to the 0.3^<rd> power, no significant difference is observed for the reproduction of the door noise, suggesting that the noises may be roughly identified in the human auditory system.
