(a) x n is a real, causal sequence with the imaginary part of its discrete time Fourier transform X(e j ) given by Jm X(e j ) sin 2 sin 2 (b) Is your answer to Part (a) unique If so, explain why If not, determine a second, distinct choice for x n satisfying the relationship given in part (a)

Question: (a) x[n] is a real, causal sequence with the imaginary part of its discrete-time Fourier transform X(e j ) given by Jm{X(e j )} =

(a) x[n] is a real, causal sequence with the imaginary part of its discrete-time Fourier transform X(e^jω) given by

Jm{X(e^jω)} = sin ω + 2 sin 2ω.

(b) Is your answer to Part (a) unique? If so, explain why. If not, determine a second, distinct choice for x[n] satisfying the relationship given in part (a).

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