(→Periodic / Non-Periodic Functions) |
(→Periodic / Non-Periodic Functions) |
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== Periodic / Non-Periodic Functions == | == Periodic / Non-Periodic Functions == | ||
| − | + | CONTINUOUS TIME (CT) | |
| + | For a function to be continuous in discrete time, it must satisfy <math>a(x+T) = a(x)</math> for any T greater than zero. Furthermore, any continuous time function that does not satisfy the pre-mentioned condition can be deemed non-periodic. | ||
| − | For a function to be continuous in discrete time, it must satisfy <math>a | + | DISCRETE TIME (DT) |
| + | For a function to be continuous in discrete time, it must satisfy <math>a[n+T] = a[n]. In discrete time, both sin and cosine are non-periodic. | ||
Revision as of 19:52, 4 September 2008
Periodic / Non-Periodic Functions
CONTINUOUS TIME (CT) For a function to be continuous in discrete time, it must satisfy $ a(x+T) = a(x) $ for any T greater than zero. Furthermore, any continuous time function that does not satisfy the pre-mentioned condition can be deemed non-periodic.
DISCRETE TIME (DT) For a function to be continuous in discrete time, it must satisfy $ a[n+T] = a[n]. In discrete time, both sin and cosine are non-periodic. $
