(Question A - Periodic Signals Revisited)
(Question A - Periodic Signals Revisited)
Line 5: Line 5:
  
 
'''Discrete Time, Non-Periodic:'''  
 
'''Discrete Time, Non-Periodic:'''  
Cos[n] is non-periodic in discrete time whenever it isn't sampled at <math>\pi, 2pi, or 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, 2\pi, or \pi/2</math> a[n + T] = a[n] for an integer T.
  
 
'''Discrete Time, Periodic:'''
 
'''Discrete Time, Periodic:'''

Revision as of 16:27, 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 $ a[n + T] = a[n] for an integer T.

Discrete Time, Periodic:

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett