(Linearity and Time Invariance)
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== Linearity and Time Invariance ==
 
== Linearity and Time Invariance ==
 
a).  This system cannot be time-invarient.  This can be proven by using the 3rd definition of Time Invariance given in class:
 
a).  This system cannot be time-invarient.  This can be proven by using the 3rd definition of Time Invariance given in class:
  
 
[[Image:Hw2E_ECE301Fall2008mboutin.jpg]]
 
[[Image:Hw2E_ECE301Fall2008mboutin.jpg]]
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b).  Assuming the system were linear it would require an input <math>X[n]=u[n]\!</math> to yield <math>Y[n]=u[n-1]\!</math>.

Revision as of 17:03, 11 September 2008

Linearity and Time Invariance

a). This system cannot be time-invarient. This can be proven by using the 3rd definition of Time Invariance given in class:

Hw2E ECE301Fall2008mboutin.jpg



b). Assuming the system were linear it would require an input $ X[n]=u[n]\! $ to yield $ Y[n]=u[n-1]\! $.

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