_Signal_Exam05NovQes

# _Signal_Exam05NovQes - EE2009/EE2009E Signals page 1...

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EE2009/EE2009E Signals / page 1 NATIONAL UNIVERSITY OF SINGAPORE EXAMINATION FOR Semester I: 2005/2006 EE2009/EE2009E – SIGNALS November/December 2005 – Time Allowed: 2 Hours INSTRUCTIONS TO CANDIDATES : 1. This paper contains SIX ( 6) questions and comprises NINETEEN (19) 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. 5. Write your matric number and the numbers of the questions you have attempted in the spaces provided below. 6. All your answers must be written neatly in the appropriate spaces provided in the question paper. QUESTION NUMBER MARKS TOTAL MATRICULATION NUMBER :

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EE2009/EE2009E Signals / page 2 SECTION A (Answer Any TWO Questions) Q.1 (a) A single pulse emitted by a medical device for imaging purpose is shown in Fig. Q1(a). Suggest a mathematical expression for the pulse. Write down a formula from which its energy can be calculated. Suggest a reasonable upper bound for this energy. What is the pulse’s power? t 0 10 9 (15 Marks) Fig. Q1(a) (b) The pulse in Q.1(a) is found to have a one-sided magnitude spectrum as shown in Fig. Q1(b). Suggest a value for . Will the phase spectrum of the signal be 0? If the device is emitting a series of these pulses at the rate of one pulse per 107 seconds, sketch the magnitude spectrum. 0 f () dB Spectrum 0 f L L f Fig. Q1(b) (10 Marks) Give your answer to Q.1 in the space below. If necessary, continue on the next two pages.
EE2009/EE2009E Signals / page 3 You may continue your answer to Q.1 on this blank space if necessary.

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EE2009/EE2009E Signals / page 4 You may continue your answer to Q.1 on this blank space if necessary.
EE2009/EE2009E Signals / page 5 Q.2 (a) An engineer is contemplating the use of a Gaussian pulse of the form () ( ) 2 2 exp a t t x = , where is a suitable constant related to the pulse width, for

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_Signal_Exam05NovQes - EE2009/EE2009E Signals page 1...

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