(→Periodic / Non-Periodic Functions) |
(→Periodic / Non-Periodic Functions) |
||
| Line 2: | Line 2: | ||
== Periodic / Non-Periodic Functions == | == Periodic / Non-Periodic Functions == | ||
| − | CONTINUOUS TIME (CT) | + | '''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(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. | ||
| − | DISCRETE TIME (DT) | + | '''DISCRETE TIME (DT)''' |
For a function to be continuous in discrete time, it must satisfy <math>a[n+T] = a[n]</math> for an integer T. If these conditions are not met, then it is deemed non-periodic. Furthermore, both sin and cosine are non-periodic in discrete time. | For a function to be continuous in discrete time, it must satisfy <math>a[n+T] = a[n]</math> for an integer T. If these conditions are not met, then it is deemed non-periodic. Furthermore, both sin and cosine are non-periodic in discrete time. | ||
Revision as of 19:55, 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] $ for an integer T. If these conditions are not met, then it is deemed non-periodic. Furthermore, both sin and cosine are non-periodic in discrete time.
