As shown in Figure 1 below, the signal is now passed to a sampler. The sampler samples the signal s(t) at a rate f, and provides the following output: v(t)=s(t)

e(t) where e(t) is the Dirac Comb, given by: \mathrm{e}(\mathrm{t})=\sum_{n=-\alpha}^{+\alpha} \delta\left(t-n T_{S}\right) Ts is the sampling interval and n is an integer. Analyse the output sampled signal v(t) by answering the following questions: :) Write the Fourier Transform E(f) of the Dirac Comb e(t). No details required. 1) Using the convolution and duality theorem, find the Fourier Transform V(1) of the sampledsignal v(t) as function of S(f), T, and f. Steps are required.(I Mark)