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# blem 4 The signals shown in the figure below are modulated signal For each modulated signal find the Fourier transform using the tables of properties and famous Fourier transforms For signals

blem 4 The signals shown in the figure below are modulated signal. For each modulated signal find the Fourier transform using the tables of properties and famous Fourier transforms. For signals (a) and (b) sketch the magnitude and phase using Matlab. What is the relation between the two magnitude plots? What is the relation between the two phase plots? Why? [Hint: Try to express the modulated signals in the form gt) cos ot] 3n Problem 5 For the system shown in the figure below. the input signals are gi(j:l0rect(104). g2(t)-d(1), the low-pass filters have frequency responses Hi(a):rect(o/40,000p), H2(?)-rect(aa/20,000p), and the output of the low-pass filters yi(1) and y2(,) are multiplied to obtain the output signal y(r). (a) Are the low-pass filters distortion-less systems or not? Why? (b) Find and sketch Gi() and G2() (c) Sketch Hi(o) and H2(0) (d) Find and sketch Yi() Y2(), and Y) (e) What is the bandwidth of Yi(o), Y(?) , and no)? What is the relation between the bandwidth of Y() and those of Yi(w) and Y2(o)? H,(f) y20) g, (t)

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