File:Raised-cosine-ISI.svg

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Summary

Description
English: Consecutive raised-cosine impulses, demonstrating zero-ISI property.
Deutsch: Intersysmbolinterferenzfreiheit bei der Impulsformung mit Raised-Cosine
Date
Source modified python script from user Krishnavedala for creating plot
Author Chris828

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,500)
	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((-.2,1.))
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(4)

ax.plot(t,raisedCos(t+2),'b')
ax.plot(t,raisedCos(t+1),'b')
ax.plot(t,raisedCos(t),'b')
ax.plot(t,raisedCos(t-2),'b')
ax.plot(t,raisedCos(t-1),'b')

ax.text(4.,-.1,r"$t$")
ax.text(.2,1.01,r"$h(t)$")

#fig.show()
fig.savefig("Raised-cosine-ISI.svg",bbox_inches="tight",\
	pad_inches=.15)

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
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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28 March 2015

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Date/TimeDimensionsUserComment
current09:15, 28 March 2015590 × 328 (31 KB)Chris828{{Information |Description ={{en|1=Consecutive raised-cosine impulses, demonstrating zero-ISI property.}} {{de|1=Intersysmbolinterferenzfreiheit bei der Impulsformung mit Raised-Cosine}} |Source =modified python script from user [[User:Krish...

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