(New page: == Memoryless Systems == A system is said to be memoryless if for any input, t, the output of the system only depends on the given input, t. Example: <math>y(t)=2*x(t)</math> == System...)
 
(Systems with Memory)
 
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== Memoryless Systems ==
 
== Memoryless Systems ==
  
A system is said to be memoryless if for any input, t, the output of the system only depends on the given input, t.
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A system is said to be memoryless if for any input, t=a, the output of the system only depends on the given input, t=a.
  
 
Example:
 
Example:
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== Systems with Memory ==
 
== Systems with Memory ==
  
A system is said to have memory if for any input, t,  the output of the system depends on the given input t, or any other t.
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A system is said to have memory if for any input, t=a,  the output of the system depends on an input other than t=a and any combination of t.
  
 
Example:
 
Example:
  
 
<math>y(t)=x(t)+x(t-1)</math>
 
<math>y(t)=x(t)+x(t-1)</math>

Latest revision as of 06:42, 18 September 2008

Memoryless Systems

A system is said to be memoryless if for any input, t=a, the output of the system only depends on the given input, t=a.

Example:

$ y(t)=2*x(t) $

Systems with Memory

A system is said to have memory if for any input, t=a, the output of the system depends on an input other than t=a and any combination of t.

Example:

$ y(t)=x(t)+x(t-1) $

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