Question: Recall Result 1.13 in the lecture notes, which states that the best circulant approximant C, to R, has eigenvalues given by the formula ( F,()

Recall Result 1.13 in the lecture notes, which states that the

Recall Result 1.13 in the lecture notes, which states that the best circulant approximant C, to R, has eigenvalues given by the formula ( F,() is the so-called Fejer kernel): A(k) = 2x f(=)F,(=-2xk)d= ~ 2xf(2nk), k =0,1,2, .... n-1 Use this observation to show that as n too: - In |Puzz In(2x f (2n= ))d=

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