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Compute the Fourier transform of the signal
 
Compute the Fourier transform of the signal
  
<math>
 
x(t) = \left\{
 
\begin{array}{ll}
 
1, & \text{ for } -5\leq t \leq 5,\\
 
0, & \text{ for } 5< |t| \leq 10,
 
\end{array}
 
\right.  \ </math>
 
  
x(t) periodic with period 20.
+
<math class="inline"> x(t)= \sum_{k=-\infty}^\infty f(t+2k) </math>, where
 +
 
 +
<math>
 +
f(t)=\left\{
 +
\begin{array}{ll}  t+1, & \text{ for } -1 \leq t <0, \\
 +
1-t, & \text{ for } 0 \leq t <1, \\
 +
0, \text{ else}.
 +
\end{array}
 +
\right.
 +
\ </math>
 
----
 
----
  
 
== Share your answers below  ==
 
== Share your answers below  ==
 
 
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!  
 
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!  
  

Revision as of 12:05, 21 February 2011


Practice Question on Computing the Fourier Transform of a Continuous-time Signal

Compute the Fourier transform of the signal


$  x(t)= \sum_{k=-\infty}^\infty f(t+2k)  $, where 

$ f(t)=\left\{ \begin{array}{ll} t+1, & \text{ for } -1 \leq t <0, \\ 1-t, & \text{ for } 0 \leq t <1, \\ 0, \text{ else}. \end{array} \right. \ $


Share your answers below

You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!


Answer 1

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Answer 2

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Answer 3

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Back to ECE301 Spring 2011 Prof. Boutin

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang