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2. A Hann function is a raised cosine function truncated by a rectangular window. To Wh(t) = ( [ 27t + COS То 0. (5)을 <t otherwise Find the Fourier Transform of the rectangular window rect() for To = 1. (2 marks) b. Write a MATLAB program to plot the Fourier Transform of the rectangular window RECT(w), for -127 SW +121. (2 marks) c. Plot Wy(t) for -1 st 5 +1 with At = 0.05 and To = 1. (2 marks) d. Find the Fourier Transform of Wh(t) in terms of the 3 shifted sinc-functions. (4 marks) e. Plot the spectrum of W.(t) obtained in d. (2 marks) f. Compare and comment on the spectra of rect() and W,t). (2 marks) g. Explain what happens to spectra of rect) and Wh(t) when the signals are sampled at discrete time. (2 marks)