Example of a Periodic Function is:


            e^(1/2)*j$ pi $n
            This is discrete sigal.
            Therefore (w/2*pi) should be rational.
            In this above example the value is (w/2*pi) is  1/4.
            Hence it is a periodic function.


Example of a non-periodic function:


           cos(n)
           This is a discrete signal too.
           Therefore the criteria for it to be peridic is cos(n+N)=cos(n).
           Where "N" is any integer.
           In the above example N is 2*pi.
           Though it looks like it is periodic, N is not an integer.
           Therefore cos(n) is not a periodic function.

Alumni Liaison

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

Dr. Paul Garrett