Volume 14, number 2, pages 695-705, March 2006.
Synthesis of the material contribution (see paragraph (III.A)):
The main characteristics of an impacted material are reproduced with
the model (without adding any modes).
- 1: Strong damping (the sound present some
"wooden" characteristics)
- 2: Weak damping (the sound present some
"metallic" characteristics)
Simulation resultsfrom the two implementations of
the synthesis model for an arbitrary set of parameters (see paragraph
(III.D)):
The dynamic filter
F is arbitrarily chosen as a one pole-one
zero filter. The time evolution of the synthesis parameters are shown on
Figure 3. The initial white noise is filtered by a bandpass filter to
take into account the impact strength of the excitator.
We arbitrarily chose to simulate five emergent modes for the two
approaches (for the additive approach, a sum of five sinusoids and for
the digital waveguide approach, five feedback loops).
- 3: Synthesis signal from the model using the
additive approach (signal represented on Figure 4 (a))
- 4: Synthesis signal from the model using the
banded digital waveguide approach (signal represented on Figure 4 (b))
The sounds generated by the two approaches are similar. An
important difference between these two approaches is that for the additive
approach, the modes are obtained from a stationary signal (sinus waves)
and for the banded digital waveguide approach, the modes are obtained from
a non-stationary signal (white noise). Consequently, the sounds generated
by the second approach seem more realistic because the deterministic part
(contribution of the most prominent modes) of the signal is more correlated
to the stochastic part.
To increase the realism of the sounds generated by the additive approach,
we can replace the sum of sinusoids by a sum of filtered white noises
centered around the frequencies of the sinusoids.
Example of synthesis signals, provided the same set of parameters:
- 5: Synthesis signal from the model using
the additive approach with a sum of sinusoids
- 6: Synthesis signal from the model using
the additive approach with a sum of filtered white noises
For the sound 6, the fluctuant characteristic of the filtered white
noises allows the resonant part of the signal to be less separated from
the noisy part.
Sound example of impacted rectangular thin plates
of various materials (see paragraph (IV.C.1)):
The following signals were obtained experimentally by impacting
rectangular thin plates.