Find the Fourier Transform X(w) of each signal x(t) given below. (a) x(t) = 1 + cos(3t) (b) x(t) = 8(t) — 58(t − 2) (c) x(t) = u(t+1) (d) x(t) = sinc²(t) (e) x(t) = cos(2t) + jsin(2t)

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Q: 12. What does it mean when er < 0?

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Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) * U(t – ) where U(t – a) is the unit step…

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Q: -2 x(1) (a) 2

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

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Q: Let x(t)=5sinc(1.5t) +6cos(7/2) and h(t)=4sind(). Determine y(t)=x(t)*h(t) using Fourier Transform…

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Q: a Find the Fourier transform of the signal x(7) = 2 cos(m)[(1+3)-(1-3)], using the Fourier integral.

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