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