Question: Consider a complex sequence x[n] = x r [n] + jx i [n], where x r [n] and x i [n] are the real part

Consider a complex sequence x[n] = x_r[n] + jx_i[n], where x_r[n] and x_i[n] are the real part and imaginary part, respectively. The z-transform X(z) of the sequence x[n] is zero on the bottom half of the unit circle; i.e., X(e^j?) = 0 for ? ? ?

n = 0, -1/4. n = 2, 0, 1/2. x,[n] = otherwise.

Determine the real and imaginary parts of X(e^j?).

n = 0, -1/4. n = 2, 0, 1/2. x,[n] = otherwise.

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