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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)
*=(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
*=(1/64)z^(-4)/(1-(1/4)z^(-1)), |z|<1/4
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*
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Please place comments below.
*Please place comments below.
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*
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*[[Back|Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013]]
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Latest revision as of 11:07, 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) =(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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