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'''Memoryless Systems''' | '''Memoryless Systems''' | ||
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A memoryless system is one that depends only on the current input and is not affected by the past future inputs. A good example would be the function <math>y(t) = [x(t)]^2</math>. Here the output <math>y(t)</math> depends only on the input <math>x(t)</math> at time <math>t</math>. | A memoryless system is one that depends only on the current input and is not affected by the past future inputs. A good example would be the function <math>y(t) = [x(t)]^2</math>. Here the output <math>y(t)</math> depends only on the input <math>x(t)</math> at time <math>t</math>. | ||
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| + | '''Systems With Memory''' | ||
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| + | A system with memory is one which does not fit the definition above for a memoryless system. In other words it has a dependence on past or future inputs. For example, the system <math>y(t) = 2x(t) - x(t-1)</math> has memory because the output <math>y(t)<math> depends on the input <math>x(t)<math> not only at time <math>t<math> but also at time <math>t-1<math>. | ||
Revision as of 07:10, 19 September 2008
Memoryless Systems
A memoryless system is one that depends only on the current input and is not affected by the past future inputs. A good example would be the function $ y(t) = [x(t)]^2 $. Here the output $ y(t) $ depends only on the input $ x(t) $ at time $ t $.
Systems With Memory
A system with memory is one which does not fit the definition above for a memoryless system. In other words it has a dependence on past or future inputs. For example, the system $ y(t) = 2x(t) - x(t-1) $ has memory because the output $ y(t)<math> depends on the input <math>x(t)<math> not only at time <math>t<math> but also at time <math>t-1<math>. $
