Determine the forward Fourier Transform of the following signals. As usual, "*" is the convolu- tion operator. Avoid exp

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Determine The Forward Fourier Transform Of The Following Signals As Usual Is The Convolu Tion Operator Avoid Exp 1 (41.65 KiB) Viewed 35 times

Determine the forward Fourier Transform of the following signals. As usual, "*" is the convolu- tion operator. Avoid explicitly using the Fourier transform integral by exploiting known Fourier transforms and properites. (a) x(t) = 7 cos² (13πt) Hint: First use a common trig identity for cos² (.). (b) x(t) = 8(t-3) — 2e-5(-3) u(t-3) (c) x(t) = cos((25/3)πt) [u(t — 7) – u(t – 11)] - (d) x(t) = cos((25/3)πt) * [u(t − 7) – u(t – 11)]