Consider a complex sequence x[n] = xr[n] + jxi [n], where xr [n] and xi[n] are the real...

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^jω) = 0 for π ≤ ω < 2π. The real part of x[n] is

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