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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'. | ||
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Causal System: | Causal System: | ||
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Non-Causal System: | Non-Causal System: | ||
y(t) = x(t+9) +6 | y(t) = x(t+9) +6 | ||
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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'.