(New page: ==Definition== Time Invariance: A system is called "time invariance" if the system commutes the time delay by t0 for any t0 ==Time-invariant system== Example: for system: y(t)=3*x(t) ...) |
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==Time-invariant system== | ==Time-invariant system== | ||
Example: for system: y(t)=3*x(t) | Example: for system: y(t)=3*x(t) | ||
| − | x(t)->''Time Delay by t0 | + | x(t)->'''Time Delay by t0''' ->y(t)=x(t-t0)->'''System'''->z(t)=3*y(t)=3*x(t-t0) |
| − | x(t)->System->y(t)=3*x(t)->Time Delay by t0 | + | x(t)->'''System'''->y(t)=3*x(t)->'''Time Delay by t0'''->z(t)=y(t-t0)=3*x(t-t0) |
Outputs are indetical so time invariant system | Outputs are indetical so time invariant system | ||
==Time-variant system== | ==Time-variant system== | ||
Example: for system: y(t)=t*x(t) | Example: for system: y(t)=t*x(t) | ||
| − | x(t)->Time Delay by t0 ->y(t)=t*x(t-t0)->System->z(t)=t*y(t)=t*x(t-t0) | + | x(t)->'''Time Delay by t0'''->y(t)=t*x(t-t0)->'''System'''->z(t)=t*y(t)=t*x(t-t0) |
| − | x(t)->System->y(t)=t*x(t)->Time Delay by t0 ->z(t)=y(t-t0)=(t-t0)*x(t-t0) | + | x(t)->'''System'''->y(t)=t*x(t)->'''Time Delay by t0'''->z(t)=y(t-t0)=(t-t0)*x(t-t0) |
Outputs are indetical so time invariant system | Outputs are indetical so time invariant system | ||
Latest revision as of 16:25, 12 September 2008
Definition
Time Invariance: A system is called "time invariance" if the system commutes the time delay by t0 for any t0
Time-invariant system
Example: for system: y(t)=3*x(t)
x(t)->Time Delay by t0 ->y(t)=x(t-t0)->System->z(t)=3*y(t)=3*x(t-t0) x(t)->System->y(t)=3*x(t)->Time Delay by t0->z(t)=y(t-t0)=3*x(t-t0) Outputs are indetical so time invariant system
Time-variant system
Example: for system: y(t)=t*x(t)
x(t)->Time Delay by t0->y(t)=t*x(t-t0)->System->z(t)=t*y(t)=t*x(t-t0) x(t)->System->y(t)=t*x(t)->Time Delay by t0->z(t)=y(t-t0)=(t-t0)*x(t-t0) Outputs are indetical so time invariant system
