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NATIONAL UNIVERSITY OF SINGAPORE EXAMINATION FOR THE DEGREE OF B.ENG. (ELECTRICAL) / B.ENG. (COMPUTER ENG.) (Semester II: 2002/2003) EE2009 - SIGNALS May 2003 – Time Allowed: 2 Hours INSTRUCTIONS TO CANDIDATES: 1. This paper contains SIX (6) questions and comprises SIX (6) printed pages. 2. Answer any TWO ( 2 ) questions from Section A, and any TWO ( 2 ) questions from Section B. 3. All questions carry equal marks. 4. This is an OPEN BOOK examination.
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SECTION A (A NSWER A NY TWO Q UESTIONS ) Q.1 (a) An engineer modeled the signal received in a communication system as () ( ) () t v t t x r + = 7 10 cos , where () t v is a white noise with power spectral density () 2 = f P vv . Is the signal a finite energy or finite power one? Giving reasons, discuss if this is a realistic model. (12 Marks) (b) Fig. Q.1 (b) shows the spectrum seen on the screen of a spectrum analyzer when it is connected to the output of a robotic control circuit. Make some appropriate assumptions and write down the form of the signal. Find out if the signal is periodic. (13 Marks) Fig. Q.1(b) 6 2 spectrum power () MHz f 2 . 0 1 . 0 200
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