(New page: == Question == <font size="3">Supposing we are given a signal <math>x(t)</math> 1) <math>x(t)</math> is real and odd 2) <math>x(t)</math> is periodic with period <math>T = 5</math> and ...)
 
 
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1) <math>x(t)</math> is real and odd
 
1) <math>x(t)</math> is real and odd
  
2) <math>x(t)</math> is periodic with period <math>T = 5</math> and has Fourier coefficients <math>a_{k}</math>
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2) <math>x(t)</math> is periodic with period <math>T = 5</math>
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3) <math>a_{0}=0</math>
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4) peak to peak value of 3
  
3) <math>a_{k}=0</math> for <math>k<0</math> and <math>k>2</math>
 
  
4) <math>\frac{1}{2}\int_{0}^{4}|x(t)|^2dt=1</math>
 
  
 
Specify a signal that satisfies the given conditions.
 
Specify a signal that satisfies the given conditions.
  
 
== Answer ==
 
== Answer ==
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<math>signal=\frac{3}{2}sin(\frac{2\pi}{5}t)</math>
 
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Latest revision as of 16:46, 26 September 2008

Question

Supposing we are given a signal $ x(t) $

1) $ x(t) $ is real and odd

2) $ x(t) $ is periodic with period $ T = 5 $

3) $ a_{0}=0 $

4) peak to peak value of 3


Specify a signal that satisfies the given conditions.

Answer

$ signal=\frac{3}{2}sin(\frac{2\pi}{5}t) $

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