Question

A 512 point DFT X[k] of a real valued sequence x[n] has the following DFT values:

X[0]=20+jα ; X[5] = 20+j30; X[k1]= -10 +j15; X[152] =17+j23; X[k2] = 20-j30; X[k3]=17-j23; X[480] =-10–j15; X[256]=30 + jβ; and all other values are zero.

a. Determine the values of α and β.

b. Determine the values of k1, k2 and k3.

c. Determine the energy of the signal x[n].

Answer 1