1. (25 pts) Find the Fourier transform of the following signals: (a) (6 pts) f₁(t) = e¯ –0.5t cos(5t)u(t) (b) (6 pts) f₂
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1. (25 pts) Find the Fourier transform of the following signals: (a) (6 pts) f₁(t) = e¯ –0.5t cos(5t)u(t) (b) (6 pts) f₂
1. (25 pts) Find the Fourier transform of the following signals: (a) (6 pts) f₁(t) = e¯ –0.5t cos(5t)u(t) (b) (6 pts) f₂(t) = [3 + 2 sin(4t)] sin(2t) te-0.5t 0 ≤t≤5 (c) (6 pts) f(t) = 0, otherwise (d) (7 pts) Prove the Fourier transform pair cos(wT)F(w) ↔ ½ [ƒ(t − T) + f(t +T)]
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