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<math>x(t) \to System \to y(t)=e^{x(t)} \to Time Shift(t0) \to z(t)=y(t-t0)</math> | <math>x(t) \to System \to y(t)=e^{x(t)} \to Time Shift(t0) \to z(t)=y(t-t0)</math> | ||
| − | <math>\ =e^{x(t-t0)}\</math> | + | <math>\, =e^{x(t-t0)}\,</math> |
Revision as of 16:15, 12 September 2008
TIME INVARIANCE
Time invariance, in my definition, is such a system that does not stretch or shrink the input function and does not change time shift of input is called "time invariance."
Example of Time invariant system and its proof
$ \,y(t)=e^{x(t)}\, $
Proof:
$ x(t) \to System \to y(t)=e^{x(t)} \to Time Shift(t0) \to z(t)=y(t-t0) $
$ \, =e^{x(t-t0)}\, $
