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Derive the relationship between DFT and DTFT
1 Answer
written 6.5 years ago by |
Discrete Time Fourier Transform is given by
X(ω)=∑∞n=−∞x(n).e−jωn ………(1)
We know that DFT is given by
X(k)=∑N−1n=0x(n).e−j2πknN ……….(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 …