Consider the trigonometric polynomial 11 9() = neintz/7 n=0 for the function f() 3...
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Consider the trigonometric polynomial 11 9() = neintz/7 n=0 for the function f() 3 + 4z + 222, DE 0,2 L), such that 9(+2) = f(x) for k=0,...,11, where Ik = (7/6) k (k=0,...,11). (a) What is L? L= 7 AY (b) Calculate c and c6 accurate to 2 decimal places in both real and imaginary parts. 1 = C6 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (4,8) entry of the Fourier matrix FN {FN}4,8 = AY Consider the trigonometric polynomial 11 9() = neintz/7 n=0 for the function f() 3 + 4z + 222, DE 0,2 L), such that 9(+2) = f(x) for k=0,...,11, where Ik = (7/6) k (k=0,...,11). (a) What is L? L= 7 AY (b) Calculate c and c6 accurate to 2 decimal places in both real and imaginary parts. 1 = C6 (b) Suppose you wish to calculate the DFT of 12 samples. Find the exact value of the (4,8) entry of the Fourier matrix FN {FN}4,8 = AY
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