Introduction to DT Fourier Series

Introduces the discrete-time Fourier Series (closely related to the DFT) and shows how to find the Fourier series coefficients of sampled cosine and sine waveforms.

This video is made available under the Creative Commons BY-SA license.

[charlietheanimtor]

Fantastic. My Systems professor goes through the proofs for everything, but never does any useful examples. Thank you!

[mathiasstrand]

Thank you! Better explained than Oppenheimer by far.

[altuber_athlete]

Do you (or someone else) know what is the trigonometric form of the discrete-time Fourier series? The one shown in this video is for the continuous-time. And I've only found the complex exponential form of the DTFS.

[farsanaan]

Pls upload diffences b/w continuse and discrete fourier series

[DinsAFK]

wish i could find an nonperiodic example...

[parshudgv]

where X(K) is Fourier coefficients,
find x(n) timing signal..anybody  solve this prm plz

[parshu]

can u solve this??? X(K)=cosk*pi/4 what is x(n)????how

[bimalboro]

please prove that DTFS coefficients are periodic !