(CT Periodic Signal)
(CT Periodic Signal)
Line 1: Line 1:
 
==CT Periodic Signal==
 
==CT Periodic Signal==
 
:<math>x(t)=2cos(\pi t)+3 \,</math>
 
:<math>x(t)=2cos(\pi t)+3 \,</math>
:<math>T=\dfrac{2\pi}{\pi} \,</math>
+
:<math>T=\dfrac{2\pi}{\pi/2} \,</math>
:<math>T=2 \,</math>
+
:<math>T=4 \,</math>
:<math>x(t)=\dfrac{e^{ j t \pi}-e^{- j t \pi}}{2}+3</math>
+
:<math>x(t)=2\dfrac{e^{.5 j t \pi}-e^{-.5 j t \pi}}{2}+3</math>
:<math>x(t)=e^{ j t \pi}-e^{- j t \pi}+3e^{ \pi*0} \, </math>
+
:<math>x(t)=e^{.5 j t \pi}-e^{-.5 j t \pi}+3e^{.5 \pi*0} \, </math>
 
<pre>
 
<pre>
a-1=1/2
+
a-1=1
 
a0=3
 
a0=3
a1=1/2
+
a1=1
 
a2=0
 
a2=0
 
a3=0
 
a3=0

Revision as of 15:55, 24 September 2008

CT Periodic Signal

$ x(t)=2cos(\pi t)+3 \, $
$ T=\dfrac{2\pi}{\pi/2} \, $
$ T=4 \, $
$ x(t)=2\dfrac{e^{.5 j t \pi}-e^{-.5 j t \pi}}{2}+3 $
$ x(t)=e^{.5 j t \pi}-e^{-.5 j t \pi}+3e^{.5 \pi*0} \, $
a-1=1
a0=3
a1=1
a2=0
a3=0

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