Consider the trigonometric polynomial 9(2) = neintz/8 n=0 for the function f(x) = 4 +52 + 4x2, DE (0,2L), such that 9(2k) = f(xx) for k=0,..., 7, where 2 k = (2)k (k = 0, ..., 7). (a) What is L? L = 8 > 47 (b) Calculate Cy and cz accurate to 2 decimal places in both real and imaginary parts. X II C2 X Il C3 (b) Suppose you wish to calculate the DFT of 8 samples. Find the exact value of the (7,4) entry of the Fourier matrix Fn {FN37,4 = AY