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The dft of a sequence x n of length n may be expressed in

The DFT of a sequence x (n) of length N may be expressed in matrix form as follows

X=Wx

where x = [x(0), x(1), ... , x(N - 1)]^T is a vector containing the signal values and X is a vector containing the DFT coefficients X (k),

(a) Find the matrix W.

(b) What properties does the matrix W have?

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Basic Statistics: The dft of a sequence x n of length n may be expressed in

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