(New page: ==Problem 1== a) This problem is transformation of the independent variable. The transformation consists of a shift and time scaling. The resulting signal is shifted to the left by 5 and ...)
 
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==Problem 1==
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[[Category: ECE]]
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[[Category: ECE 301]]
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[[Category: Summer]]
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[[Category: 2008]]
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[[Category: asan]]
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[[Category: Exams]]
 
a) This problem is transformation of the independent variable.  The transformation consists of a shift and time scaling. The resulting signal is shifted to the left by 5 and time scaled so the new times are divided by 2.   
 
a) This problem is transformation of the independent variable.  The transformation consists of a shift and time scaling. The resulting signal is shifted to the left by 5 and time scaled so the new times are divided by 2.   
  

Revision as of 10:13, 21 November 2008

a) This problem is transformation of the independent variable. The transformation consists of a shift and time scaling. The resulting signal is shifted to the left by 5 and time scaled so the new times are divided by 2.

File:Xofttrans.doc

b) This problem is finding the even and odd parts of a signal x[n]. x1[n] = (x[n] + x[-n])/2 is the even signal. It can be found by plotting x[n]/2 and x[-n]/2 then summing the two signals. This is shown below. Note that x1[n] is symmetric about the verticle axis. File:X1ofn.doc

x2[n]= (x[n]-x[-n])/2 is the odd signal. It can be found by plotting x[n]/2 and -x[-n]/2 and summing the two signals. This is shown below. Note that x2[n] satisfies the condition that x[n]=-x[-n]. File:X2ofn.doc

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