102_1_MidtermSpring2008

102_1_MidtermSpring2008 - UCLA DEPARTMENT OF ELECTRICAL...

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UCLA DEPARTMENT OF ELECTRICAL ENGINEERING Midterm Examination May 6, 2008 Put First Letter * of LAST Name in the corner →→%% (* Otherwise Your Midterm will be LOST) Your name :——————————————————– Instructions: Closed Book, Calculators are NOT Allowed Good Luck! 1
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PART 1 t-Domain Analysis (Do NOT use Laplace Transforms )! (Question 1) (15pts) A system is described by y ( t ) = 1 t + 1 Z t 0 x ( σ ) dσ,t 0 , where x ( t ) = 0 for t < 0. (i) (5pts) Is the system L or NL? TV or TI? C or NC? (ii) (5pts) Find the y ( t ) for the input x ( t ) = U ( t - 1) (iii) (5pts) Find the y ( t ) for the input x ( t ) = δ ( t - 2) (Question 2) (15pts) Let system S 1 be described by the IPOP relation: y ( t ) = Z t -∞ e - ( t - τ ) x ( τ ) dτ,t ( -∞ , ) x ( t ) [ S 1 ] y ( t ) and let system S 2 be described by the IPOP relation: v ( t ) [ S 2 ] w ( t ) w ( t ) = v ( t ) - Z -∞ U ( t - τ ) v ( τ ) dτ,t ( -∞
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This note was uploaded on 04/13/2010 for the course EE ee102 taught by Professor Levan during the Spring '09 term at UCLA.

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102_1_MidtermSpring2008 - UCLA DEPARTMENT OF ELECTRICAL...

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