(Linearity: What input X[n] will yield the output Y[n] = u[n-1]?)
(Linearity: What input X[n] will yield the output Y[n] = u[n-1]?)
 
Line 7: Line 7:
 
== Linearity:  What input X[n] will yield the output Y[n] = u[n-1]? ==
 
== Linearity:  What input X[n] will yield the output Y[n] = u[n-1]? ==
  
If we put a unit step function into the input of the system, then the system will output
+
If we put a unit step function into the system, then the system will output
 
a step function that is shifted one unit to the right.
 
a step function that is shifted one unit to the right.

Latest revision as of 16:01, 11 September 2008

Is the System Time-Invariant?

No, the system is NOT time-invariant. It's not time-invariant because the output is simply scaled by the time-shift T.

Linearity: What input X[n] will yield the output Y[n] = u[n-1]?

If we put a unit step function into the system, then the system will output a step function that is shifted one unit to the right.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett