Quote:
Originally Posted by wirefree  Greetings.
I seek advise regarding the following sentence as it appears pertaining to the image that appears below:
"[In Discrete Fourier Transform] it is common to express the transform as G(k) instead of G(k/N) in order to simplify the notation, but one should keep in mind that the frequency is the normalized k/N and not the integer k." 
I would appreciate assistance with an explanation of what 'normalizing' refers to, and why it is required.
Look forward to a prompt response.
Best regards,
wirefree |
The transform on left column is for n=1,2,3...,N. This number is mostly used when you collect N number of information.
The other transform on the right is for time within a cycle. This usually go back and forth alternately as in sine waves or cosine waves. If you know the Period of a cycle, you can divide you time, t, as you deem appropriate.
Most often, this is used in changing a discrete function into a continuous one.