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Find the inverse DFT of $X(k)=\{1,2,3,4\}$.
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written 3.0 years ago by
prajapatijaimin
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Solution:
The inverse DFT is defined as,
$ x(n)=\frac{1}{N} \sum_{k=0}^{N-1} X(k) e^{j 2 \pi n k / N}, n=0,1,2,3, \ldots, N-1\\ $
$ \begin{aligned} & \text { Given } N=4, x(n)=\frac{1}{4} \sum_{k=0}^3 X(k) e^{j 2 \pi n k / N}, n=0,1,2,3 \\\\ & \text { When } n=0 \\\\ & …
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