need perfect work ....

Calculus
Tutor: None Selected Time limit: 1 Day

Discrete Fourier Transform (DFT) and inverse DFT to translate between polynomial representations

� �A Short Digression on Complex Roots of Unity�

Jul 24th, 2015

Thank you for the opportunity to help you with your question!

given a sequence of N samples f(n), indexed by n=0....N-1, the discrete fourier transform (DFT) is defined as F(k), where k=...N-1.

The sequence f(n) and F(k) using the inverse discrete transform (IDFT)

Although we have stated that both n and k range over 0..N-1, the definitions above have a periodicity of N:

F(k+N)=F(k)  f(n+N)=f(n)

so both f(n) and F(k) are defined for all integral n and k respectively, but we only need to calculate values in the range 0...N-1. Any other points can be obtained using the above periodicity property.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 24th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jul 24th, 2015
...
Jul 24th, 2015
May 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer