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Derive the relationship between DFT and DTFT
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Discrete Time Fourier Transform is given by

X(ω)=n=x(n).ejωn ………(1)

We know that DFT is given by

X(k)=N1n=0x(n).ej2πknN ……….(2)

By comparing equation (1) and (2) we get

X(k)=X(ω)|ω=2πkN

This equations are equal if

i) Infinite summation is replaced by finite

ii) Continuous frequency variable is replaced by finite number of …

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