(→Linear System) |
(→Causal System) |
||
| Line 5: | Line 5: | ||
A causal system (non-anticipative system) is one that produces an output that is dependent on either present or past values of 't'. Therefore, a causal system does not produce an output x(t) based on any future value of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'. | A causal system (non-anticipative system) is one that produces an output that is dependent on either present or past values of 't'. Therefore, a causal system does not produce an output x(t) based on any future value of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'. | ||
| + | |||
Causal System: | Causal System: | ||
| Line 11: | Line 12: | ||
Non-Causal System: | Non-Causal System: | ||
y(t) = x(t+9) +6 | y(t) = x(t+9) +6 | ||
| + | |||
The first system is causal since it is dependent on a past value of 't'. However, the second system is non-causal because it depends on a future value of 't'. | The first system is causal since it is dependent on a past value of 't'. However, the second system is non-causal because it depends on a future value of 't'. | ||
Revision as of 07:40, 15 September 2008
Causal System
A causal system (non-anticipative system) is one that produces an output that is dependent on either present or past values of 't'. Therefore, a causal system does not produce an output x(t) based on any future value of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'.
Causal System:
y(t) = x(t-9) + 6
Non-Causal System: y(t) = x(t+9) +6
The first system is causal since it is dependent on a past value of 't'. However, the second system is non-causal because it depends on a future value of 't'.
