Consider the trigonometric polynomial 7 9(x) = en eintz/8 n=0 for the function f(x) = 4 + 2x + 22, TE (0,2L), such that q(**) = f() for k=0,...,7, where xk = (2)k (k = 0,..., 7). (a) What is L? L= (b) Calculate ci and cz accurate to 2 decimal places in both real and imaginary parts. C1 = C3 = 17 (b) Suppose you wish to calculate the DFT of 8 samples. Find the exact value of the (4,5) entry of the Fourier matrix FN. {FN}4,5 == Consider the trigonometric polynomial 7 9(x) = en eintz/8 n=0 for the function f(x) = 4 + 2x + 22, TE (0,2L), such that q(**) = f() for k=0,...,7, where xk = (2)k (k = 0,..., 7). (a) What is L? L= (b) Calculate ci and cz accurate to 2 decimal places in both real and imaginary parts. C1 = C3 = 17 (b) Suppose you wish to calculate the DFT of 8 samples. Find the exact value of the (4,5) entry of the Fourier matrix FN. {FN}4,5 ==