(Causal System)
(Memoryless Systems)
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== Memoryless Systems ==
 
  
Definition:
 
A memoryless system is one that produces an output Y(t) that is purely dependent on the input at that specific time t.
 
 
 
Memoryless System:
 
y(t) = 2x(t) + 7t
 
 
System with Memory:
 
y(t) = 2x(t) +7(t-5)
 
 
 
The first example is memoryless since it only depends on the time 't'.
 
The second example has memory since it depends on both the time 't' and the time '(t-5)'.
 
  
 
== Causal System ==
 
== Causal System ==

Revision as of 07:38, 15 September 2008


Causal System

A causal system (non-anticipative system) is one that produces an output that is dependent on either present or past values of 't'. Therefore, a causal system does not produce an output x(t) based on any future value of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'.

Causal System: y(t) = x(t-9) + 6

Non-Causal System: y(t) = x(t+9) +6

The first system is causal since it is dependent on a past value of 't'. However, the second system is non-causal because it depends on a future value of 't'.


Linear System

A linear system is one that

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