examsoln1 - EECS 216 EXAM #1 Winter 2008 1. The system y (...

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Unformatted text preview: EECS 216 EXAM #1 Winter 2008 1. The system y ( t ) = x ( t ) x ( t − 1) is: (a) Linear (b) Time-invariant (c) Both (d) Neither (e) Can’t tell 2. An LTI system with impulse response h ( t ) = e −| t | is: (a) BIBO stable (b) Causal (c) Both (d) Neither (e) Can’t tell 3. integraltext ∞ −∞ sin(3 t ) δ ( t − π ) dt =: (a) 0 (b) 1 (c) 3 (d) π (e) ∞ 4. The period of 3 cos( π 3 t + 1) + 5 cos( π 4 t + 2) + 7 cos( π 6 t + 3) is: (a) 6 (b) 12 (c) 24 (d) 48 (e) ∞ 5. Two system are connected in series or cascade: x ( t ) → | h ( t ) = u ( t ) | → | h ( t ) = − u ( t ) | → y ( t ) The overall impulse response of the connected systems is: (a) 0 (b) − δ ( t ) (c) − u ( t ) (d) − r ( t ) (e) 1 2 t 2 u ( t ) 6. y ( t ) = [2 δ ( t ) + 3 δ ( t − 2)] ∗ [ u ( t ) − u ( t − 1)] . y (2 . 5) =: (a) 0 (b) 2 (c) 3 (d) 4 (e) 5 (here ∗ denotes convolution) 7. x(t)=triangle with support [1,4]. Sketch y(t)=x(3t-5)+x(-t+1) at right. 8. RC circuit with RC=1. Sketch the response y(t) to x(t)=u(t)-u(t-0.01). ALSO: Specify the peak value of y(t) on the given plot....
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This homework help was uploaded on 04/04/2008 for the course EECS 216 taught by Professor Yagle during the Winter '08 term at University of Michigan.

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examsoln1 - EECS 216 EXAM #1 Winter 2008 1. The system y (...

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