puredata-doc 0.43.0-4 / usr / lib / puredata / doc / 3.audio.examples / E06.exponential.pd

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#X text 96 131 calculate;
#X text 21 3 This subpatch computes the spectrum of the incoming signal
with a (rectangular windowed) FFT. FFTs aren't properly introduced
until much later.;
#X text 83 61 signal to analyze;
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#X text 191 182 for better graphing;
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#X text 509 178 ---- 0.02 seconds ----;
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#X text 499 708 updated for Pd version 0.37;
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#X text 35 10 This patch computes a decaying exponential function \,
100 points per unit.;
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#X text 103 237 <-- repeatedly;
#X text 104 217 <-- graph once;
#X text 121 0 Waveshaping using an exponential function;
#X text 120 53 <--index in;
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#X text 417 220 10;
#X text 14 652 When the index of modulation exceeds 5 we scan past
the right hand border of the table (the thousandth point \, corresponding
to exp(-10). This isn't a problem because the values are all close
to zero there.;
#X text 14 555 Table lookup is prepared as follows. First add one to
the sinusoid and adjust its amplitude according to index \; it ranges
from 0 to 2*index. Then adjust for the table's input scale (100 points
per unit \, so multiply by 100) and add one to skip the interpolation
point at the beginning of the table.;
#X text 13 398 Here we use an exponential function as a waveshaping
transfer function. The theory is shown in detail in the accompanying
book \, but in short \, we adjust the sinusoid so that \, as the index
increases \, we scan starting from the left of the transfer function
(previously the reading location grew from the center). The table contains
exp(-x) with x varying from 0 to 10 When the index is zero \, the output
is the constant 1 and the spectrum holds only DC. As the index grows
\, the output is a sequence of steadily narrower pulses \, whose spectrum
gets progressively fatter.;
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