final03s

final03s - EE301a(Akar Final Exam CLOSED BOOKS CLOSED NOTES...

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EE301a (Akar) Final Exam 05/07/2003 CLOSED BOOKS, CLOSED NOTES, NO PC’s and NO MATLAB 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:
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EE301a (Akar) Final Exam 05/07/2003 Page 2 Problem 1 (10 points) Consider the continuous-time system described by the relation y ( t ) = Z t t/ 2 x ( τ ) 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). Does the system have memory? Prove your statement. e). Is the system stable? Prove your statement.
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EE301a (Akar) Final Exam 05/07/2003 Page 3 Problem 2 (20 points) (Solution of Differential Equations) a). (Power control for your cell–phone) Consider a wireless communication network of two mobile users and two base stations. Let p i ( t ), i = 1 , 2 be the difference between the actual power that the
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final03s - EE301a(Akar Final Exam CLOSED BOOKS CLOSED NOTES...

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