An eight-point real-valued signal s has DFT given by S = [ 3 x1 4 -4+3j -2 x2 x3 1-2j ]
A. Compute s[0] - s[1] + s[2] - s[3] + s[4] - s[5] + s[6] - s[7] using one entry of X only.
B. Determine the values of x1, x2, x3.
C. Compute the amplitude and phase spectra of s, displaying each as a vector.
D. Express s[n] as a linear combination of five real-valued sinusoids.