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Computational Physics: 9/15/2009 黃黃黃

Computational Physics: 9/15/2009

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Computational Physics: 9/15/2009. 黃信健. 7 Fourier Analysis - Musical Tones. 7.1 Synthesis of a bell tone. 7.2 FM Synthesis of a bell tone. α =.125 β = -.175 b = .1. 7.3 Risset’s endless glissando. Wave Format. Bell Wave files n = 400. Endless Wave files n = 40000. - PowerPoint PPT Presentation

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Page 1: Computational Physics: 9/15/2009

Computational Physics: 9/15/2009

黃信健

Page 2: Computational Physics: 9/15/2009

7 Fourier Analysis - Musical Tones

Page 3: Computational Physics: 9/15/2009

7.1 Synthesis of a bell tone

K

kk

tk tfeAtw k

1

/ )2sin()(

Page 4: Computational Physics: 9/15/2009

7.2 FM Synthesis of a bell tone

)2sin(2sin)( tfbetfetw mt

ct

α =.125β = -.175b = .1

Page 5: Computational Physics: 9/15/2009

7.3 Risset’s endless glissando

m

tt

t

mtgtw

efetg

fefty

)8()(

32/4 ),/2sin()(

sec8/)5.1log( Hz,784)/2sin()(

20

0

0

2

Page 6: Computational Physics: 9/15/2009

Wave Format

Page 7: Computational Physics: 9/15/2009

Bell Wave files n = 400

Page 8: Computational Physics: 9/15/2009

Endless Wave files n = 40000

Page 9: Computational Physics: 9/15/2009

Bell Wave files n = 400

Page 10: Computational Physics: 9/15/2009

Endless Wave files n = 40000

Page 11: Computational Physics: 9/15/2009