12-10-2012, 06:00 PM
The Discrete Fourier Series
[size=large]The Fourier Transform of Periodic Signals
Periodic sequences are not absolute or square summable
Hence they don’t have a Fourier Transform
We can represent them as sums of complex exponentials: DFS
We can combine DFS and Fourier transform
Fourier transform of periodic sequences
Periodic impulse train with values proportional to DFS coefficients