(New page: == Memoryless System == A system is memoryless if for any <math> t \in \mathbb{R} </math> the output at <math> t_0 \, </math> depends only on the input at <math> t_0 \, </math>(not past o...)
 
(Memoryless System)
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A system is memoryless if for any <math> t \in \mathbb{R} </math> the output at <math> t_0 \, </math> depends only on the input at <math> t_0 \, </math>(not past or future samples or informations).
 
A system is memoryless if for any <math> t \in \mathbb{R} </math> the output at <math> t_0 \, </math> depends only on the input at <math> t_0 \, </math>(not past or future samples or informations).
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For example: y(t)=2x(t),y(t)=t-1+x(t)
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 +
(Question: Is y(t)=1 or any constant memoryless?
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--Personally I think it is, but it somehow violates the definition given in lecture. Since it doesn't even depend on <math>t_0\,</math>)
  
 
== System with Memory ==
 
== System with Memory ==
  
 
A system is with memmory if for some <math> t \in \mathbb{R} </math> the output at <math> t_0 \, </math> doesn't only depend on the input at <math> t_0 \, </math>, it also depends on past or future samples or informations.
 
A system is with memmory if for some <math> t \in \mathbb{R} </math> the output at <math> t_0 \, </math> doesn't only depend on the input at <math> t_0 \, </math>, it also depends on past or future samples or informations.

Revision as of 17:14, 17 September 2008

Memoryless System

A system is memoryless if for any $ t \in \mathbb{R} $ the output at $ t_0 \, $ depends only on the input at $ t_0 \, $(not past or future samples or informations). For example: y(t)=2x(t),y(t)=t-1+x(t)

(Question: Is y(t)=1 or any constant memoryless?

--Personally I think it is, but it somehow violates the definition given in lecture. Since it doesn't even depend on $ t_0\, $)

System with Memory

A system is with memmory if for some $ t \in \mathbb{R} $ the output at $ t_0 \, $ doesn't only depend on the input at $ t_0 \, $, it also depends on past or future samples or informations.

Alumni Liaison

has a message for current ECE438 students.

Sean Hu, ECE PhD 2009