Find the DTFT of x[n] = e jθ δ[n + Ï] + e jθ δ[n Ï], and

Find the DTFT of x[n] = e^jθδ[n + Ï„] + e^ˆ’jθδ[n ˆ’ Ï„], and use it to find the  DTFT of cos(ω₀n + θ),ˆ’ ˆž < n < ˆž according to the duality property.

(a) Verify the results coincide with those in the tables for θ = 0 and θ = ˆ’ Ï€/2.

(b) What would then be the DTFT of a signal

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x1[n] = 1+>Aj cos(kw,n + Op)? k=1