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Fourier Transform with Digital and analog communication system problem

Please answer all of the questions with steps otherwise do not answer at all.

I suck at this stuff...

3) In class, we discussed a raised cosine pulse, where in the frequency domain \[ P(f)=\left\{\begin{array}{ll} \frac{A}{2 R_{b}}\left(1+\cos \left(\pi f / R_{b}\right)\right) & -\frac{1}{T} \leq f \leq \frac{1}{T} \\ 0 & \text { Otherwise } \end{array}\right. \] which has the shape of a raised cosine. This means this pulses zero crossing bandwidth is \( \frac{1}{T} \). The bit rate, \( \mathrm{R}_{\mathrm{b}} \), is also \( \frac{1}{T} \) A) In this problem, use the inverse Fourier transform to show that the shape of the pulse in the time domain is \[ p(t)=\frac{A \operatorname{sinc}\left(2 \pi R_{b} t\right)}{1-4 R_{b}^{2} t^{2}} \]
TABLE \( 3.1 \) Short Table of Fourier Transforms