1. II Acoustic Reality
II.4 (F Sept 21) FM, Wavelets, and Physical Modeling

2. Sound anatomy
Classical Joseph Fourier (partials/overtones) ~ 1800
Frequency Modulation (FM) John Chowning ~ 1970
Wavelets (Jean Morlet et al.) ~ 1984
Physical Modeling (Claude Cadoz et al.) ~ 1989

3. Sound anatomy
John Chowning
Yamaha DX7
modulator
carrier
w(t) = Ac + A1 sin(2.ft+Ph1) + A2 sin(2.2ft+Ph2) + A3 sin(2.3ft+Ph3) +...
W(t) = Ac + A1 sin(2.ft+Ph1 + A2 sin(2.2ft+Ph2 + A3 sin(2.3ft+Ph3)))
carrier
modulator
modulator

4. Sound anatomy
Classical Joseph Fourier (partials/overtones) ~ 1800
Frequency Modulation (FM) John Chowning ~ 1970
Wavelets (Jean Morlet et al.) ~ 1984
Physical Modeling (Claude Cadoz et al.) ~ 1989

5. Sound anatomy
different wavelet types

6. g(t) = C.exp(-t2/2).cos(wt) ga,b(t) = g((t-b)/a)
Sound anatomy
g((t-b)/a)
g(t) = C.exp(-t2/2).cos(wt)
ga,b(t) = g((t-b)/a)

7. a,b parameter selection
Sound anatomy
sound function
a,b parameter selection

8. Sound anatomy
a musical example a b
octaves

9. Sound anatomy
Classical Joseph Fourier (partials/overtones) ~ 1800
Frequency Modulation (FM) John Chowning ~ 1970
Wavelets (Jean Morlet et al.) ~ 1984
Physical Modeling (Claude Cadoz et al.) ~ 1989

10. There are three basic types of physical modeling:
Sound anatomy
There are three basic types of physical modeling:
Mass-Spring: Classical systems of point masses that are connected by springs, e.g. Chordis Anima Institute ACROE Grenoble, ICMC 1994.
Modal Synthesis: Modeling of different sinusoidal components that are experimentally determined, e.g. Modalys~Mosaic at IRCAM.
Waveguide: Propagation of waves in a medium, such as air or string, e.g. at Stanford’s CCRMA (Center for Computer Research in Music and Acoustics), commercial on YAMAHA’s VL-1

11. Yamaha‘s VL70m

12. Singer Synthesis: Perry Cook
Sound anatomy: physical modeling of the human voice
Singer Synthesis: Perry Cook