(New page: = Practice Question on Computing the Fourier Series continuous-time signal= Obtain the Fourier series the CT signal <math> x(t) = \left\{ \begin{array}{ll} 1, & \text{ for } -5\leq t \le...)
 
 
(2 intermediate revisions by the same user not shown)
Line 1: Line 1:
= Practice Question on Computing the Fourier Series continuous-time signal=
+
[[Category:ECE301Spring2011Boutin]] [[Category:Problem_solving]]
Obtain the Fourier series the CT signal
+
----
 +
= [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Continuous-time Signal  =
 +
Compute the Fourier transform of the signal
 +
 
 +
 
 +
<math class="inline"> x(t)= \sum_{k=-\infty}^\infty f(t+2k) </math>, where
  
 
<math>
 
<math>
x(t) = \left\{  
+
f(t)=\left\{  
\begin{array}{ll}
+
\begin{array}{ll} t+1, & \text{ for } -1 \leq t <0, \\
1, & \text{ for } -5\leq t \leq 5,\\
+
1-t, & \text{ for } 0 \leq t <1, \\
0, & \text{ for } 5< |t| \leq 10,
+
0, \text{ else}.
\end{array}
+
\end{array}
\right.  \ </math>
+
\right.   
 +
\ </math>
 +
----
  
x(t) periodic with period 20.
+
== 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  ===
 +
Write it here.
 +
=== Answer 2  ===
 +
Write it here.
 +
=== Answer 3  ===
 +
Write it here.
 +
----
 +
[[2011_Spring_ECE_301_Boutin|Back to ECE301 Spring 2011 Prof. Boutin]]

Latest revision as of 10:26, 11 November 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

Write it here.

Answer 2

Write it here.

Answer 3

Write it here.


Back to ECE301 Spring 2011 Prof. Boutin

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett