(Memoryless System & System with Memory)
(Memoryless System & System with Memory)
Line 1: Line 1:
 
== Memoryless System & System with Memory ==
 
== Memoryless System & System with Memory ==
* A system is memoryless if for any t0, the output y(t0) only depends on the present input, x(t0).<br>
+
* A system is memoryless if for any t0, the output y(t0) only depends on the present input, x(t0).
 
   The output doesn't depend on past or future input, x(t0 + k) for any integer k.<br>
 
   The output doesn't depend on past or future input, x(t0 + k) for any integer k.<br>
  
* A system is a system with memory if for any t0,<br>
+
* A system is a system with memory if for any t0,
 
   the output y(t0) depends on not only the present input, x(t0) but also  
 
   the output y(t0) depends on not only the present input, x(t0) but also  
 
   the past or future, x(t0 + k) for any integer k.<br>
 
   the past or future, x(t0 + k) for any integer k.<br>

Revision as of 09:25, 13 September 2008

Memoryless System & System with Memory

  • A system is memoryless if for any t0, the output y(t0) only depends on the present input, x(t0).
 The output doesn't depend on past or future input, x(t0 + k) for any integer k.
  • A system is a system with memory if for any t0,
 the output y(t0) depends on not only the present input, x(t0) but also 
 the past or future, x(t0 + k) for any integer k.

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett