(CT NON-Periodic Fx)
 
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[[Category:ECE301]]
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[[Category:periodicity]]
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=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
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<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>
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== CT Periodic Fx ==
 
== CT Periodic Fx ==
 
<math>x(t)=e^j*t</math>
 
<math>x(t)=e^j*t</math>
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the real part is periodic along with the imaginary part
 
the real part is periodic along with the imaginary part
 
== DT Periodic Fx ==
 
== DT Periodic Fx ==
<math>x[n]=e^j*w*n</math>
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<math>x[n]=e^(j*w*n)</math>
  
 
the value will be periodic as long as  
 
the value will be periodic as long as  
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does not follow the rules for periodic signals
 
does not follow the rules for periodic signals
 
== DT NON-Periodic Fx ==
 

Latest revision as of 06:25, 14 April 2010

Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

CT Periodic Fx

$ x(t)=e^j*t $

$ e^j*t $---> $ cos(t) + j*sin(t) $

the real part is periodic along with the imaginary part

DT Periodic Fx

$ x[n]=e^(j*w*n) $

the value will be periodic as long as

$ w/(2*pi) = K/N $

K is any integer

CT NON-Periodic Fx

$ x(t)=x^2 $

does not follow the rules for periodic signals

Alumni Liaison

Questions/answers with a recent ECE grad

Ryne Rayburn