Problem 2 (30 points) A shaping filter H, (w) used for vestigial sideband (VSB) modulation is shown below, H(w) -0,0 10,

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Problem 2 30 Points A Shaping Filter H W Used For Vestigial Sideband Vsb Modulation Is Shown Below H W 0 0 10 1 (46.1 KiB) Viewed 17 times

Problem 2 (30 points) A shaping filter H, (w) used for vestigial sideband (VSB) modulation is shown below, H(w) -0,0 10, 6₂-63, 40, Dy where w₁ = 10000m rad/s, a 12000m rad/s, c, 14000m rad/s, a, 18000m rad/s, and was 20000 rad/s. The carrier frequency is = 11000m rad/s and the baseband signal bandwidth is 7000 rad/s. Consider the block d'agram in the lecture notes for VSB modulation and demodulation. a) Sketch the corresponding receiving filter H, (w). Assume H, (w) = 0 for lal 2 7000m rad/s. b) Write the mathematical expression of H.(w) in terms of the rectangular function (see the definition of the rectangular function below). c) By using the inverse Fourier transform, find the mathematical expression of ho(t). 1/2-