Consider a six-point sequence x[n] which is only nonzero for 0 n 5 where it takes...

  

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Consider a six-point sequence x[n] which is only nonzero for 0 n 5 where it takes values = == [0] 1, [1] 0, r[2] = 2, r[3] = 2, x[4] = b, x[5] = 1. The number b (i.e., the value of x[4]) is unknown, but we know that [n], the 3-point inverse DTFT of X1[k] = X(e(2km/3)) for k = {0, 1, 2}, is equal to 21[0] =3, 1[1]=0, 2[2] = 3. Is the given information sufficient to find a unique value for the unknown b? If so, calculate b. Consider a six-point sequence x[n] which is only nonzero for 0 n 5 where it takes values = == [0] 1, [1] 0, r[2] = 2, r[3] = 2, x[4] = b, x[5] = 1. The number b (i.e., the value of x[4]) is unknown, but we know that [n], the 3-point inverse DTFT of X1[k] = X(e(2km/3)) for k = {0, 1, 2}, is equal to 21[0] =3, 1[1]=0, 2[2] = 3. Is the given information sufficient to find a unique value for the unknown b? If so, calculate b.