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==Time Invariance== | ==Time Invariance== | ||
| + | A time invariant system is one in which a time shifted input yields an output of the same time shift: | ||
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| + | <math> | ||
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| + | x(t-\delta) = y(t-\delta) | ||
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| + | </math> | ||
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| + | Example of a time invariant system: | ||
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| + | <math> x(t) = \sin(t) </math> | ||
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| + | Example of a time variant system: | ||
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| + | <math> x(t) = t\sin(t) </math> | ||
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| + | In the variant example the amplitude of the signal depends on time so it is time variant | ||
Latest revision as of 09:10, 12 September 2008
Time Invariance
A time invariant system is one in which a time shifted input yields an output of the same time shift:
$ x(t-\delta) = y(t-\delta) $
Example of a time invariant system:
$ x(t) = \sin(t) $
Example of a time variant system:
$ x(t) = t\sin(t) $
In the variant example the amplitude of the signal depends on time so it is time variant
