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5.48 Find the Fourier transform of the following signals with A = 2, ω0 = 5 rad/s, α = 0.5 s−1, and ϕ0 = π/5. (a) f(t) = Acos⁡(ω0t − ϕ0), −∞ < t < ∞ (b) g(t) = e−αtcos⁡(ω0t)u(t)

5.48 Find the Fourier transform of the following signals with A = 2, ω0 = 5 rad/s, α = 0.5 s−1, and ϕ0 = π/5. (a) f(t) = Acos⁡(ω0t − ϕ0), −∞ < t < ∞ (b) g(t) = e−αtcos⁡(ω0t)u(t)

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5.48 Find the Fourier transform of the following signals with A = 2 , ω 0 = 5 rad / s , α = 0.5 s − 1 , and ϕ 0 = π / 5 . (a) f ( t ) = A cos ⁡ ( ω 0 t − ϕ 0 ) , − ∞ < t < ∞ (b) g ( t ) = e − α t cos ⁡ ( ω 0 t ) u ( t )

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