(Memoryless System & System with Memory)
(Memoryless System & System with Memory)
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* A system is a system with memory if for any t0, the output y(t0) depends on not only the present input, x(t0) but also the past or future, x(t0 + k) for any integer k.<br>
 
* A system is a system with memory if for any t0, the output y(t0) depends on not only the present input, x(t0) but also the past or future, x(t0 + k) for any integer k.<br>
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== Example ==
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<math>y(t) = x(t) + x(t^2)</math><br>
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If t equals to 2, <math>y(2) = x(2) + x(4)</math>.
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Then the output depends on the present and future inputs. So the system is memoryless.

Revision as of 09:28, 13 September 2008

Memoryless System & System with Memory

  • A system is memoryless if for any t0, the output y(t0) only depends on the present input, x(t0).The output doesn't depend on past or future input, x(t0 + k) for any integer k.
  • A system is a system with memory if for any t0, the output y(t0) depends on not only the present input, x(t0) but also the past or future, x(t0 + k) for any integer k.

Example

$ y(t) = x(t) + x(t^2) $
If t equals to 2, $ y(2) = x(2) + x(4) $. Then the output depends on the present and future inputs. So the system is memoryless.

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Seraj Dosenbach