Computing the dft of a vector of length n

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A circulant is an n × n matrix in which the rth row is the rth cyclic shift of the first row, 2 ≤ r ≤ n. When n is a prime, show that computing the DFT of a vector of length n is equivalent to multiplying by an (n - 1) × (n - 1) circulant.

Reference no: EM131211773

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