Download - Computational Physics: 9/15/2009

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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

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Wave Format

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Bell Wave files n = 400

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Endless Wave files n = 40000

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Bell Wave files n = 400

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Endless Wave files n = 40000

Page 11: Computational Physics: 9/15/2009