ECE 421, Spring 2006, HW Assignment #1Signals and Systems Review ProblemsDue Tuesday, January 311. Determine the Laplace transform for the following time-domain signal. Express the answer in thenormal transfer function format, that is, as a ratio of polynomials.x1(t)=½0,t<0t2−4e−3t+3e2t≥0¾(1)2. Determine the time-domain expressions for each of the Laplace transforms shown below.X2a(s1s(4s+1)=0.25s(s+0.25)(2)X2b(s12s2(4s=3s2(s.25)(3)X2c(s13s(s2+4s+ 13)=13s(s+2+j3) (s+2−j3)(4)3. Without computing inverse Laplace transforms, determine the output signals for each of the followingthree systems for the given sinusoidal inputs. The system transfer functions are given by theGi(s),and the input signals arexi(t).G3a(s20 (s+3)(s.2) (s+6)(s+ 10),x3a(t)=5cos(2t−π/6)(5)G3b(s10 (s+2)2(s+5)(s+7)3b(t)=2cos(2t+3) + 10 cos (6t+3)(6)G3c(s10(s.3)33c(t)=4cos(0.5t)+10cos(2t+3)(7)4. For each of the transfer functions below, determine the poles and zeros and indicate whether the system
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This note was uploaded on 10/25/2010 for the course ECE 421 taught by Professor Cook,g during the Spring '08 term at George Mason.