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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.
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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