Consider the trigonometric polynomial 11 9(z) = aneinaz/6 N=0 for the function f(3) = -4+ 22 422, 1 (0,2 L), such that 9(+2) = f(x) for k=0,...,11, where Ix = (1)k (k = 0,...,11). (a) What is L? L= 6 (b) Calculate cg and c10 accurate to 2 decimal places in both real and imaginary parts. X C10 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (5, 11) entry of the Fourier matrix FN- {FN}5,11 - Consider the trigonometric polynomial 11 9(z) = aneinaz/6 N=0 for the function f(3) = -4+ 22 422, 1 (0,2 L), such that 9(+2) = f(x) for k=0,...,11, where Ix = (1)k (k = 0,...,11). (a) What is L? L= 6 (b) Calculate cg and c10 accurate to 2 decimal places in both real and imaginary parts. X C10 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (5, 11) entry of the Fourier matrix FN- {FN}5,11