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This is problem 10.21 (f) in O+W
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*This is problem 10.21 (f) in O+W
 
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*
Determine z-transform of x[n]=(1/4)^n u[-n+3]  
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*Determine z-transform of x[n]=(1/4)^n u[-n+3]  
 
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*
X(z)=sigma x[n]z^(-n)=sigma (1/4)^(n)z^(-n)=sigma (1/4)^(-n)z^(n)=sigma (1/4)^(-n+3)z^(n-3)
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*X(z)=sigma x[n]z^(-n)=sigma (1/4)^(n)z^(-n)=sigma (1/4)^(-n)z^(n)=sigma (1/4)^(-n+3)z^(n-3)
=(1/64)z^(-3)/(1-4z), |z|<1/4
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*=(1/64)z^(-3)/(1-4z), |z|<1/4
=(1/64)z^(-4)/(1-(1/4)z^(-1)), |z|<1/4
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*=(1/64)z^(-4)/(1-(1/4)z^(-1)), |z|<1/4
 
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*
Please place comments below.
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*Please place comments below.
 
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*
[[Back|Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013]]
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*[[Back|Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013]]

Revision as of 11:06, 3 May 2013

  • This is problem 10.21 (f) in O+W
  • Determine z-transform of x[n]=(1/4)^n u[-n+3]
  • X(z)=sigma x[n]z^(-n)=sigma (1/4)^(n)z^(-n)=sigma (1/4)^(-n)z^(n)=sigma (1/4)^(-n+3)z^(n-3)
  • =(1/64)z^(-3)/(1-4z), |z|<1/4
  • =(1/64)z^(-4)/(1-(1/4)z^(-1)), |z|<1/4
  • Please place comments below.
  • Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013

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