(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>) |
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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> | 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> | ||
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| + | In other words it doesn't depend on past or future events or information. | ||
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| + | ==System With Memory== | ||
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| + | A system has memory it's output at any given time depends somehow on either a past and/or future event or piece of information. | ||
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| + | ==Causal System== | ||
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| + | A system is causal if it's output at any time doesn't depend on a future event/piece of information. In other words it's output at any given time only depends on past or present events/information. | ||
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| + | ==Non-causal System== | ||
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| + | Any system thats output at any given time depends on a future event or piece of information isn't a causal system. | ||
Revision as of 10:00, 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 \, $
In other words it doesn't depend on past or future events or information.
System With Memory
A system has memory it's output at any given time depends somehow on either a past and/or future event or piece of information.
Causal System
A system is causal if it's output at any time doesn't depend on a future event/piece of information. In other words it's output at any given time only depends on past or present events/information.
Non-causal System
Any system thats output at any given time depends on a future event or piece of information isn't a causal system.
