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Determine z-transform of the following sequence. x[n]=(1/2)^(n+1)u[n+3]
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This is problem 10.21 (f) in O+W
  
X(z)=sigma x[n]z^(-n)=sigma (1/2)^(n+1)z^(-n)=sigma (1/2)^(n-2)z^(-n+3)=4x^3/(1-(1/2)z^(-1)), |z|>1/2
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Determine z-transform of x[n]=(1/4)^n u[-n+3]
  
Please place solutions and/or comments below.
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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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=(1/64)z^(-3)/(1-4z), |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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Revision as of 11:05, 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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