(→Question A - Periodic Signals Revisited) |
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'''Discrete Time, Non-Periodic:''' | '''Discrete Time, Non-Periodic:''' | ||
| − | Cos[n] is non-periodic in discrete time whenever it isn't sampled at <math>\pi</math>, <math>2\pi</math>, or <math>\pi/2</math> a[n + T] = a[n] for an integer T. | + | Cos[n] is non-periodic in discrete time whenever it isn't sampled at <math>\pi</math>, <math>2\pi</math>, or <math>\pi/2</math> (or any other multiple of <math>\pi</math>). a[n + T] = a[n] for an integer T. |
'''Discrete Time, Periodic:''' | '''Discrete Time, Periodic:''' | ||
Revision as of 17:29, 10 September 2008
Question A - Periodic Signals Revisited
I chose to use the CT (continuous time)periodic signal: y(t) = cos(t). The signal can be expressed as both periodic and non-periodic in DT (discrete time).
Discrete Time, Non-Periodic: Cos[n] is non-periodic in discrete time whenever it isn't sampled at $ \pi $, $ 2\pi $, or $ \pi/2 $ (or any other multiple of $ \pi $). a[n + T] = a[n] for an integer T.
Discrete Time, Periodic:
