(New page: == Part A: Understanding System’s Properties == Definition of a '''Memoryless System''' - A system is said to be memoryless if for any <math>t \epsilon \mathbb{R} \!</math> the output <...) |
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== Part A: Understanding System’s Properties == | == Part A: Understanding System’s Properties == | ||
| − | Definition of a '''Memoryless System''' - A system is said to be memoryless if for any <math>t \ | + | Definition of a '''Memoryless System''' - A system is said to be memoryless if for any <math>t \in \mathbb{R} \!</math> the output <math>y(t)\!</math> depends only on the input at <math>t\!</math> (as opposed to <math>(t-t_0)\!</math>,<math>(-t)\!</math>, etc). |
| − | Definition of a '''System with Memory''' - A system is said to have memory if for any <math>t \ | + | Definition of a '''System with Memory''' - A system is said to have memory if for any <math>t \in \mathbb{R} \!</math> the output <math>y(t)\!</math> depends on either a past or future value of <math>t\!</math>, such as <math>(t+t_0)\!</math>. |
Latest revision as of 10:13, 17 September 2008
Part A: Understanding System’s Properties
Definition of a Memoryless System - A system is said to be memoryless if for any $ t \in \mathbb{R} \! $ the output $ y(t)\! $ depends only on the input at $ t\! $ (as opposed to $ (t-t_0)\! $,$ (-t)\! $, etc).
Definition of a System with Memory - A system is said to have memory if for any $ t \in \mathbb{R} \! $ the output $ y(t)\! $ depends on either a past or future value of $ t\! $, such as $ (t+t_0)\! $.
