(z transform problem)
 
 
Line 1: Line 1:
 
Find the inverse Z transform of H(z)= Y(z)/X(z)= 1 / (1-a*z^(-1))
 
Find the inverse Z transform of H(z)= Y(z)/X(z)= 1 / (1-a*z^(-1))
 +
<br>
 
Solution:
 
Solution:
 +
<br>
 
Y(z)=a*z^(-1)Y(z) + X(z)
 
Y(z)=a*z^(-1)Y(z) + X(z)
 +
<br>
 
y(m) = a * y(m-k) + x(m)
 
y(m) = a * y(m-k) + x(m)
 +
<br>
 
y(m)= a^m at m>=0
 
y(m)= a^m at m>=0
 +
<br>
 
0 when m<0
 
0 when m<0
 +
<br>
  
 
[[Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013]]
 
[[Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013]]

Latest revision as of 05:05, 3 May 2013

Find the inverse Z transform of H(z)= Y(z)/X(z)= 1 / (1-a*z^(-1))
Solution:
Y(z)=a*z^(-1)Y(z) + X(z)
y(m) = a * y(m-k) + x(m)
y(m)= a^m at m>=0
0 when m<0

Back to Final Exam Sp 2005 solutions, ECE301 Spring 2013

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang