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A time invariant system is a system for which when a signal passes through a system and then is time shifted, it is equal to when the signal is time shifted and then passed through the system.
 
  
For Example:
 
 
System --> sqrt[of signal]  =  Time invariant
 
 
In other words,
 
 
X(t) is input signal
 
 
X(t) --> system --> y(t) = sqrt[X(t)]  --> delay --> z(t) = sqrt[X(t - t0)]
 
 
is equivalent to
 
 
X(t) --> delay --> Y(t) = X(t - t0)  --> system --> z(t) = sqrt[X(t - t0)]
 
 
Therefore it is Time invariant.
 
 
 
 
-Note: if i am wrong about this example, let me know.  Thanks.
 

Revision as of 13:02, 11 September 2008

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal