Figure P10.18 shows the magnitude |V [k]| of the 128-point DFT V [k] for a signal v[n]. The signal v[n] was obtained by multiplying x[n] by a 128-point rectangular window w[n]; i.e., v[n] = x[n]w[n]. Note that Figure P10.18 shows |V [k]| only for the interval 0 ≤ k ≤ 64. Which of the following signals could be x[n]? That is, which are consistent with the information shown in the figure?
x 1[n] = cos(πn/4) + cos(0.26πn),
x 2[n] = cos(πn/4) + (1/3) sin(πn/8),
x 3[n] = cos(πn/4) + (1/3) cos(πn/8),
x 4[n] = cos(πn/8) + (1/3) cos(πn/16),
x 5[n] = (1/3) cos(πn/4) + cos(πn/8),
x 6[n] = cos(πn/4) + (1/3) cos(πn/8 + π/3).
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