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Discrete Fourier series derivation

  1. Dec 3, 2015 #1
    Hello,


    fourier_table41.png


    *please refer to the table above.

    I started from x(n)=x(n*Ts)=x(t)*delta(t-nTs),

    how can we have finite terms for discrete time F.S

    can anyone provide me a derivation or proof for Discrete F.S.?
     
  2. jcsd
  3. Dec 5, 2015 #2
    Think about how you would numerically integrate with the rectangle method. What would the sum look like?
     
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