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== Linear System Definition == | == Linear System Definition == | ||
| − | A system takes a given input and produces an output. For the system to be linear it must preserve addition and multiplication. | + | A system takes a given input and produces an output. For the system to be linear it must preserve addition and multiplication. In mathematical terms: |
<math> x(t+t0)=x(t) + x(t0)</math> | <math> x(t+t0)=x(t) + x(t0)</math> | ||
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| + | and | ||
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| + | <math> x(k*t)=k*x(t)</math> | ||
== Linear System Example == | == Linear System Example == | ||
Revision as of 08:38, 10 September 2008
Linear System Definition
A system takes a given input and produces an output. For the system to be linear it must preserve addition and multiplication. In mathematical terms:
$ x(t+t0)=x(t) + x(t0) $
and
$ x(k*t)=k*x(t) $
