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amplitude-decay.jupyter
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nbformat 4
nbformat_minor 0
markdown
# Amplitude Decay Curves
[back to main page](../index.ipynb)
Just a few plots to show the amplitude decay curves from [WebAudio](https://www.w3.org/TR/webaudio/), see [DistanceModelType](https://www.w3.org/TR/webaudio/#idl-def-DistanceModelType).
$d$ .. distance between source and listener
$d_\text{ref}$ .. `refDistance`
$d_\text{max}$ .. `maxDistance`
$f$ .. `rolloffFactor`
code 1
%matplotlib inline
import matplotlib.pyplot as plt
import numpy as np
plt.rcParams['figure.figsize'] = 12, 4 # inch
plt.rcParams['axes.grid'] = True
metadata
{
"collapsed": false
}
code 2
d = np.linspace(0, 40, num=200)
metadata
{
"collapsed": false
}
code 3
def plot_decay(data):
plt.plot(d, data)
plt.ylim(-0.1, 1.1)
metadata
{
"collapsed": true
}
markdown
## `linear`
$d$ is clamped to the interval $[dref, dmax]$.
code 4
def linear(d_ref, d_max, f):
return 1 - f * (np.maximum(np.minimum(d, d_max), d_ref) - d_ref) / (d_max - d_ref)
metadata
{
"collapsed": true
}
code 5
plot_decay(linear(2, 5, 1))
plot_decay(linear(2, 7, 1))
plot_decay(linear(2, 9, 1))
display_data
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- text/plain
<matplotlib.figure.Figure at 0x7f31b898a278>
metadata
{
"collapsed": false
}
code 6
plot_decay(linear(1, 7, 1))
plot_decay(linear(2, 7, 1))
plot_decay(linear(3, 7, 1))
display_data
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- text/plain
<matplotlib.figure.Figure at 0x7f31b606f208>
metadata
{
"collapsed": false
}
code 7
plot_decay(linear(2, 7, 1))
plot_decay(linear(2, 7, 0.5))
plot_decay(linear(2, 7, 0.25))
plot_decay(linear(2, 7, 0))
display_data
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AABJRU5ErkJggg==
- text/plain
<matplotlib.figure.Figure at 0x7f31b613e9b0>
metadata
{
"collapsed": false
}
markdown
## inverse
$d$ is clamped to the interval $[d_\text{ref}, \infty)$.
code 8
def inverse(d_ref, f):
return d_ref / (d_ref + f * (np.maximum(d, d_ref) - d_ref))
metadata
{
"collapsed": true
}
code 9
plot_decay(inverse(1, 1))
plot_decay(inverse(5, 1))
plot_decay(inverse(10, 1))
display_data
- image/png
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