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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>e^j^w^nwn)</math>
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An example of a discrete period function would be <math>e^j*w*n)</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*n) $

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. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva