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Ideal Differentiator Frequency Response
Discontinuity at
no exact solution
(
polynomial approximation
over the unit circle)
Need
oversampling
and a
don't-care band
at high frequencies (e.g.,
kHz to
kHz)
The
frequency response
can be arbitrary between the upper limit of human
hearing
(20kHz) and
A small increment in oversampling factor yields a large decrease in required
filter order
for a given spec
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Download
DigitizingNewton.pdf
Download
DigitizingNewton_2up.pdf
Download
DigitizingNewton_4up.pdf
``
Introduction to Physical Signal Models
'', by
Julius O. Smith III
, (From Lecture Overheads,
Music 420
).
Copyright ©
2020-06-27
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
[Automatic-links disclaimer]