(New page: '''Properties of Z transform''' 1. Linearity Z(a'x[n] + by[n]) = aX(z) + bY(z) 2. Time Delay <br>3. Time Advance <br>4. Time Convolution Theorem Z(x[n] * y[n]) = X(z)Y(z) <br...)
 
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2. Time Delay  
 
2. Time Delay  
  
<br>3. Time Advance  
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Z(x[n-k]) = Z<sup>-k</sup>X(z)<br>3. Time Advance  
  
<br>4. Time Convolution Theorem  
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Z(x[n+k]) = Z<sup>k</sup>X(z)<br>4. Time Convolution Theorem  
  
 
Z(x[n] * y[n]) = X(z)Y(z)  
 
Z(x[n] * y[n]) = X(z)Y(z)  
  
 
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Revision as of 18:21, 16 December 2010

Properties of Z transform

1. Linearity

Z(a'x[n] + by[n]) = aX(z) + bY(z)

2. Time Delay

Z(x[n-k]) = Z-kX(z)
3. Time Advance

Z(x[n+k]) = ZkX(z)
4. Time Convolution Theorem

Z(x[n] * y[n]) = X(z)Y(z)


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