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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?
(c) What is the inverse of W?
Determine the dJ. of the time until the system fails to operate.
Be sure to specifically identify the statistical formulas and what additional data you would need to determine your estimate(s).
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