Consider the trigonometric polynomial 11 9(z) = neintz/9 n=0 for the function f(1) = -2- 42 -32, ze [0,2L), such that 9(+2) f(*k) for k= 0,...,11, where IK (3/2)k (k = 0,...,11). (a) What is L? L= (b) Calculate C4 and Cy accurate to 2 decimal places in both real and imaginary parts. C4 C7 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (8, 11) entry of the Fourier matrix FN- {FN}8,11 47 Consider the trigonometric polynomial 11 9(z) = neintz/9 n=0 for the function f(1) = -2- 42 -32, ze [0,2L), such that 9(+2) f(*k) for k= 0,...,11, where IK (3/2)k (k = 0,...,11). (a) What is L? L= (b) Calculate C4 and Cy accurate to 2 decimal places in both real and imaginary parts. C4 C7 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (8, 11) entry of the Fourier matrix FN- {FN}8,11 47