final03f

final03f - EE301 (Akar) Final Exam 12/10/2003 Closed Book,...

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EE301 (Akar) Final Exam 12/10/2003 Closed Book, No Calculators, No PCs and No MATLAB Only four 8 1 2 00 × 11 00 sheets of notes allowed (2-sided) Show all work to get full credit Name: Sign if No Aid Given or Taken: Problem Points #1 (10) #2 (10) #3 (15) #4 (15) #5 (15) #6 (15) #7 (20) Total (100)
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EE301 (Akar) Final Exam 12/10/2003 Page 2 Problem 1 (10 points) Consider the continuous-time system described by the relation y ( t ) = 1 3 x 3 ( t ) + 2 x 2 ( t + 1) where x ( t ) is the input and y ( t ) is the output of the system. a). Is the system linear? Prove your statement. b). Is the system time-invariant? Prove your statement. c). Is the system causal? Prove your statement. d). Is the system stable? Prove your statement.
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EE301 (Akar) Final Exam 12/10/2003 Page 3 Problem 2 (10 points) Given the differential equation d 2 y ( t ) dt 2 + 4 dy ( t ) dt + 8 y ( t ) = x ( t ) with the initial conditions y (0 - ) = 2, dy ( t ) dt | t =0 - = 1 and the input x ( t ) = δ ( t ), determine the
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final03f - EE301 (Akar) Final Exam 12/10/2003 Closed Book,...

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