Consider the trigonometric polynomial 9(x) = CncinAZ/8 n=0 for the function f(1) = 5 32 -2.2, 2 (0,2L), such that (2x) = f(x) for k= 0,...,15, where ok = (1) k (k = 0,...,15). (a) What is L2 L= 8 (b) Calculate C7 and 15 accurate to 2 decimal places in both real and imaginary parts. C7= C15 (b) Suppose you wish to calculate the DFT of 16 samples. Find the exact value of the (10,4) entry of the Fourier matrix Fr. {FN 10,4 = Consider the trigonometric polynomial 9(x) = CncinAZ/8 n=0 for the function f(1) = 5 32 -2.2, 2 (0,2L), such that (2x) = f(x) for k= 0,...,15, where ok = (1) k (k = 0,...,15). (a) What is L2 L= 8 (b) Calculate C7 and 15 accurate to 2 decimal places in both real and imaginary parts. C7= C15 (b) Suppose you wish to calculate the DFT of 16 samples. Find the exact value of the (10,4) entry of the Fourier matrix Fr. {FN 10,4 =