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If the cascade x(t)--->[time delay by t0]--->[system]---->z(t) | If the cascade x(t)--->[time delay by t0]--->[system]---->z(t) | ||
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yields the same output as the cascade | yields the same output as the cascade | ||
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x(t)--->[system]--->[time delay by t0]--->y(t) for any t0, then the | x(t)--->[system]--->[time delay by t0]--->y(t) for any t0, then the | ||
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system is called "time invariant". | system is called "time invariant". | ||
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+ | === Time variant System === | ||
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+ | If the cascade x(t)--->[time delay by t0]--->[system]---->z(t) | ||
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+ | does not yield the same output as the cascade | ||
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+ | x(t)--->[system]--->[time delay by t0]--->y(t) for any t0, then the | ||
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+ | system is called "time variant". |
Latest revision as of 04:47, 19 September 2008
Time Invariant System
If the cascade x(t)--->[time delay by t0]--->[system]---->z(t)
yields the same output as the cascade
x(t)--->[system]--->[time delay by t0]--->y(t) for any t0, then the
system is called "time invariant".
Time variant System
If the cascade x(t)--->[time delay by t0]--->[system]---->z(t)
does not yield the same output as the cascade
x(t)--->[system]--->[time delay by t0]--->y(t) for any t0, then the
system is called "time variant".