(New page: == Guess the Periodic Signal== 1. <math>x(t)\!</math> is real and odd<br> 2. <math>x(t)\!</math> is periodic with period <math>T=4\!</math><br> 3. <math>a_0=3\!</math><br> 4. <math>x(0...)
 
 
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== Guess the Periodic Signal==
 
== Guess the Periodic Signal==
1.  <math>x(t)\!</math> is real and odd<br>
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1.  <math>x(t)\!</math> is real and even<br>
 
2.  <math>x(t)\!</math> is periodic with period <math>T=4\!</math><br>
 
2.  <math>x(t)\!</math> is periodic with period <math>T=4\!</math><br>
 
3.  <math>a_0=3\!</math><br>
 
3.  <math>a_0=3\!</math><br>
4.  <math>x(0)=3\!</math><br>
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4.  <math>-3<=x<=3\!</math>
 
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== Solution ==
 
== Solution ==
  
 
<math>x(t)=3cos(\frac{\pi}{2}t)\!</math>
 
<math>x(t)=3cos(\frac{\pi}{2}t)\!</math>

Latest revision as of 16:17, 26 September 2008

Guess the Periodic Signal

1. $ x(t)\! $ is real and even
2. $ x(t)\! $ is periodic with period $ T=4\! $
3. $ a_0=3\! $
4. $ -3<=x<=3\! $

Solution

$ x(t)=3cos(\frac{\pi}{2}t)\! $

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