Consider the raised cosine pulse x(t) = [1+cos(pit)](u(t+1)-u(t-1)) (a) Carefully plot x(t) (b) Find the Fourier transform of the pulse p(t) = u(t+1)-u(t-1) (c) Use the definition of the pulse p(t) and the modulation property to find the Fourier transform of x(t) in terms of P(omega) = F[p(t)]

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Consider the raised cosine pulse x(t) = [1+cos(pit)](u(t+1)-u(t-1))

(a) Carefully plot x(t)

(b) Find the Fourier transform of the pulse p(t) = u(t+1)-u(t-1)

(c) Use the definition of the pulse p(t) and the modulation property to find the Fourier transform of x(t) in terms of P(omega) = F[p(t)]

Expert Solution
Step 1: State the given data.

The raised cosine pulse is given by

 x(t) = [1+cos(pit)](u(t+1)-u(t-1))

(a) We need to plot x(t).

(b) We need to find the Fourier transform of the pulse p(t) = u(t+1)-u(t-1)

(c) We need to find the Fourier transform of x(t) in terms of P(omega) = F[p(t)] by using the definition of the pulse p(t) and the modulation property.


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