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Final Notes
Mass
reflectance
uses a
warped, unaliased
frequency axis (due to the
bilinear transform
) -- can be viewed as a ``
Wave Digital Filter
'' (WDF) mass model
Delay lines
use an
unwarped,
aliased
frequency axis (simple sampling) -- ``
digital waveguide model
''
Frequency axes align well at low frequencies, or given sufficient
oversampling
Mass model is 1st-order in both analog and digital domains
A higher order
digital filter
can be used for the mass to improve
frequency response
across the audio band
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Download
MassString.pdf
Download
MassString_2up.pdf
Download
MassString_4up.pdf
``
Ideal Mass Colliding with an Ideal String
'', by
Julius O. Smith III
, (From Lecture Overheads,
Music 420
).
Copyright ©
2007-03-01
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
[Automatic-links disclaimer]