File:Raised-cosine-impulse.svg
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Size of this PNG preview of this SVG file: 585 × 314 pixels. Other resolutions: 320 × 172 pixels | 640 × 344 pixels | 1,024 × 550 pixels | 1,280 × 687 pixels | 2,560 × 1,374 pixels.
Original file (SVG file, nominally 585 × 314 pixels, file size: 44 KB)
Summary
| Description |
English: Impulse response of raised-cosine filter given by
for different values of . Created using python and matplotlib library. from numpy import *
from matplotlib.pyplot import *
from mpl_toolkits.axes_grid.axislines import SubplotZero
def makeT(lim=1): # Make the X-axis
result = linspace(-lim,lim,100)
return result
def sinc(x): # define normlized sinc function
return sin(pi*x)/(pi*x)
def raisedCos(x,B=0,T=1): # define raised cosine function
return sinc(x/T) * cos(pi*B*x/T) / (1 - (4*B*B*x*x/(T*T)) )
fig = figure(figsize=(8,4))
ax = SubplotZero(fig,111)
fig.add_subplot(ax)
ax.grid(True)
ax.set_xticks([-3,-2,-1,0,1,2,3])
ax.set_xticklabels(["-3T","-2T","-T","0","T","2T","3T"])
ax.set_ylim((-.3,1.2))
ax.set_yticklabels([])
for direction in ["xzero","yzero"]:
ax.axis[direction].set_axisline_style("->")
ax.axis[direction].set_visible(True)
for direction in ["left","right","bottom","top"]:
ax.axis[direction].set_visible(False)
t = makeT(3.5)
ax.plot(t,raisedCos(t),label=r"$\beta=0$")
ax.plot(t,raisedCos(t,0.25),label=r"$\beta=0.25$")
ax.plot(t,raisedCos(t,0.5),label=r"$\beta=0.5$")
ax.plot(t,raisedCos(t,1.),label=r"$\beta=1$")
ax.text(3.5,0.,"t")
ax.text(0.1,1.1,"h(t)")
ax.legend()
#fig.show()
fig.savefig("Raised-cosine-impulse.svg",bbox_inches="tight",\
pad_inches=.15)
|
| Date | |
| Source | Own work |
| Author | Krishnavedala |
| Other versions | File:Raised-cosine-impulse.png |
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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- to share – to copy, distribute and transmit the work
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- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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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. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:58, 28 August 2011 | | 585 × 314 (44 KB) | wikimediacommons>Krishnavedala | Corrected the X-axis labels |
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