EE 200 – Fall 2009 (Weber)Homework 6At the upper right corner on page 1 of all homeworks, show:Last name, First nameDateEE 200, Homework #Show intermediate steps whenever possible.1.A continuous-time LTI system has the impulse responseh(t) =δ(t)-0.1e-0.1tu(t)a.What is the frequency responseH(jω) of the system?b.Plot the magnitude squared of the frequency response:|H(jω)|2=H(jω)H*(jω)c.At what frequency does the magnitude squared of the frequency response reach its maximum value?At what frequency does it reach 3db below the maximum value?d.For an input ofx(t) = 10 + 20cos(0.1t) +δ(t-0.2)what is the output? Hint: Use superposition to findy(t) by finding the response of each part ofx(t)the easiest way (impulse response or frequency response).2.Problem P-10.9 from the textbook.Thex(t) input to the LTI system is the one with the frequencydomain representation in Fig. P-10.9. For each of the five parts of the problem figure out which of thesevenH(jω) shown the system must have to create the correspondingy(t). The equations describing
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