Make a plot in the style of Fig. 1 for the signal x(t) = 1 and its corresponding Fourier t...

Make a plot in the style of Fig. 1 for the signal x(t) = 1 and its corresponding Fourier transform X(jω) = 2πδ(ω).

Figure 1. Fourier transform of an impulse signal; (a) time function x(t) = Aδ(t), and (b) corresponding Fourier transform X(jω) = A. Since the impulse is the signal that is most concentrated in time, its Fourier transform is the most spread out in frequency.