Find the DTFT X(e j ) of x[n] = [n] [n 2]. (a) Sketch and

Find the DTFT X(e^jω) of x[n] = δ[n] − δ[n − 2].

(a) Sketch and label carefully the magnitude spectrum |X(e^jω)| for 0 ≤ ω < 2π.

(b) Sketch and label carefully the magnitude spectrum |X(e^jω)| for – π ≤ ω < π.

(c) Sketch and label carefully the phase spectrum ∠ X (e^jω) for – π ≤ ω < π.