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==System with memory==
 
==System with memory==
A system is said to have memory if for any time <math>t_{0}</math> the output <math>y(t_{0})</math> depends on the past or future time.
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A system is said to have memory if for any time <math>t_{0}</math> the output <math>y(t_{0})</math> depends on more than just that time but also on the past or future time.
  
 
==Example of as system with memory==
 
==Example of as system with memory==

Latest revision as of 12:00, 18 September 2008

Memory less system

A system is said to be memory less if for any time $ t_{0} $ the output $ y(t_{0}) $ depends only on the input at $ t_{0} $ i.e no past or future samples.

Example of memory less

Y(t)=2X(t)

the system is memory less because the output depends only on the present time t and not on the past time i.e t-1 etc or on the future time t+1 etc.


System with memory

A system is said to have memory if for any time $ t_{0} $ the output $ y(t_{0}) $ depends on more than just that time but also on the past or future time.

Example of as system with memory

Y(t)=X(t)+X(t-1)

the output of the system here depends on the present time t but also on the past time t-1. thus we can say that the system has a memory.

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