Consider the continuous-time rectangular window wR(t), defined by (13.16) and the Hamming window, wH(r), defined by (13.26).

(a) Show that the continuous-time Fourier transform of the rectangular window wR(r) is as given in (13.23).

(b) Use the fact that

(c) Use the result of (b) to construct a sketch of |WN(jω)|, and from this sketch argue that the width of the main-lobe of | WH(jω)| is ∆ωH, = 8π/T.