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In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n]
 
In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n]
  
An example of a discrete period function would be <math>pow(e,jwn)e^(jwn)</math>
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An example of a discrete period function would be <math>e^j^w^nwn)</math>
  
 
In continuous time, a function x(t) is periodic if there exists a T>0 such that x(t+T) = x(t)
 
In continuous time, a function x(t) is periodic if there exists a T>0 such that x(t+T) = x(t)

Revision as of 16:42, 4 September 2008

Periodic Functions

In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n]

An example of a discrete period function would be $ e^j^w^nwn) $

In continuous time, a function x(t) is periodic if there exists a T>0 such that x(t+T) = x(t)

Non Periodic Functions

All functions that are not periodic I suppose would then be Non-periodic.

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang