File:AliasingSines.svg
Summary
Description |
English: A graph showing aliasing of an f=0.9 sine wave by an f=0.1 sine wave by sampling at a period of T=1.0, based on the raster image File:AliasingSines.png.
Français : Une graphique qui démontre le crénelage d'un signal sinusoïdal de fréquence f=0.9, confondu avec un signal de fréquence f=0.1 lors d'un échantillonnage de période T=1.0, basée sur l'image matricielle File:AliasingSines.png. |
Date | |
Source | Own work |
Author | Moxfyre |
Other versions | File:AliasingSines.png |
SVG development | |
Source code | Python code#!/usr/bin/python2.5
from pylab import *
from numpy import *
# create a figure
figure(figsize=(7.5,2.5))
rcParams.update({"figure.subplot.left":0.05, "figure.subplot.right":0.95,
"figure.subplot.bottom":0.1, "figure.subplot.top":0.9,
"svg.embed_char_paths":False})
# x coords from -1 to 11
x_fine = linspace(-0.4, 10.4, 1000)
x_coarse = linspace(0, 10, 11)
# sinewave w/ freq=0.9
y1 = sin(2*pi * 0.9 * (x_fine-0.5))
plot( x_fine, y1, "-", color="red")
# sinewave w/ freq=0.1
y2 = sin(2*pi * 0.1 * (x_fine-0.5))
plot(x_fine, y2, "-", color="blue")
# show aliasing
y3 = sin(2*pi * 0.1 * (x_coarse-0.5))
plot( x_coarse, y3, "o", color="black" )
vlines( x_coarse, 0, y3, color="black" ) # add the "lollipop" points
# set window and tick labels
axis([-0.5, 10.5, -1.1, 1.1])
yticks((-1.0,0,1.0), ('',0,''))
xticks(linspace(0,10,11))
# save it
savefig("AliasingSines.svg", transparent=True)
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Licensing
Category:License migration redundant#AliasingSines.svg![]() |
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. Subject to disclaimers. |
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