Question: The following information is known about a real, causal sequence x[n] and its discrete-time Fourier transform X(e j ): Jm{X(e j )} = 3 sin()

The following information is known about a real, causal sequence x[n] and its discrete-time Fourier transform X(ejω):

Jm{X(ejω)} = 3 sin(ω) + sin(3ω),

X(ejω)|ω=π = 3.

Determine a sequence x[n]consistent with this information. Is the sequence unique?

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