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== Time Invariance == | == Time Invariance == | ||
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| + | A system is time invariant if an input signal x(t) corresponds to the output signal y(t) despite any scaling due to time. | ||
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| + | x(t-t0) -> | | -> y(t-t0) Shifted input yields shifted output | ||
| + | |||
| + | y(t) = 7*x(t) | ||
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| + | x(t) delayed = x(t-t0) -> | sys | -> 10* x(t-t0) | ||
| + | x(t) -> |sys| = 10* x(t) -> delayed -> 10* x(t-t0) | ||
| + | |||
| + | Same result therefore time invariant. | ||
Latest revision as of 12:17, 12 September 2008
Time Invariance
A system is time invariant if an input signal x(t) corresponds to the output signal y(t) despite any scaling due to time.
x(t-t0) -> | | -> y(t-t0) Shifted input yields shifted output
y(t) = 7*x(t)
x(t) delayed = x(t-t0) -> | sys | -> 10* x(t-t0) x(t) -> |sys| = 10* x(t) -> delayed -> 10* x(t-t0)
Same result therefore time invariant.
