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Electrical Engineering 120 - Fall 1997 - Kahn - Midterm 2

# Electrical Engineering 120 - Fall 1997 - Kahn - Midterm 2 -...

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University of California at Berkeley Department of Electrical Engineering and Computer Sciences Professor J.M. Kahn EECS 120 Midterm 2 Monday, November 10, 1997, 2:10-3:10 pm Name: 1. Pace yourself. Don’t spend too much time on any one problem. 2. Do all work in the space provided. If you need more room, use the back of previous page. 3. Indicate your answer clearly by circling it or drawing a box around it. 4. Think carefully about the problem before you begin to write. Problem 1 (35 pts.) Consider the system shown below, which has input x ( t ) and output y ( t ). (a) (5 pts.) Find an expression for y ( t ) in terms of x ( t ). (b) (5 pts.) Can the input-output relationship be described by an expression of the form for some h ( t )? If so, specify h ( t ). If not, explain why very briefly. Problem 1 2 3 TOTAL Points 35 25 40 100 Score w t ( 29 x t ( 29 z t ( 29 y t ( 29 . ( 29 2 d . ( 29 dt --------- . ( 29 t ' d t Integrator Squarer Differentiator y t ( 29 x t ( 29 h t ( 29 =

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2 (c) (10 pts.) Let the input be . Find expressions for the output y ( t ) and its Fourier transform Y ( ϖ ).
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