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Suppose, we let g(t) of problem 1 be periodic (i.e., g(t) is now gT(t) according to the notation that we are using). To be precise let A = 4 Volts, let the pulse width T = 0.1 seconds and let the fundamental period To = 0.2 seconds. Find its continuous Fourier transform. Hint: g(t) is periodic and hence you can first find the Fourier series coefficients (C₁) and relate those coefficients to the continuous Fourier transform of a periodic signal (we have done it in the class...). Accurately sketch the spectrum of the signal from -30 to 30 Hz, e.g., using MATLAB. (In MATLAB, you can use the stem () function along with the optional argument '^' to plot a sequence of arrows representative of Dirac Deltas.)

Fig: 1