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Prove that 2D DFT matrix is an unitary matrix.
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Consider DFT matrix for N=4,$A = \frac{1}{\sqrt{4}} \begin{bmatrix} \ 1 & 1 & 1 &1 \\ \ 1 & -j & -1 & j \\ \ 1 & -1 & 1 & -1 \\ \ 1 & j & -1 & -j \\ \end{bmatrix}$

If AA*=I

Then A is a …

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