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quiz2v2_s09_soln - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL...

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GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #2 DATE: 9-Mar-09 COURSE: ECE-2025 NAME: GT username : LAST, FIRST (ex: gtbuzz7 ) 3 points 3 points 3 points Recitation Section: Circle the date & time when your Recitation Section meets (not Lab): L05:Tues-Noon (Bhatti) L06:Thur-Noon (Barry) L07:Tues-1:30pm (Bhatti) L08:Thur-1:30pm (Barry) L01:M-3pm (Chang) L09:Tues-3pm (Lee) L02:W-3pm (Fekri) L11:Tues-4:30pm (Lee) L04:W-4:30pm (Fekri) Write your name on the front page ONLY. DO NOT unstaple the test. Closed book, but a calculator is permitted. One page ( 8 1 2 00 11 00 ) of HAND-WRITTEN notes permitted. OK to write on both sides. Justify your reasoning CLEARLY to receive partial credit. Explanations are also REQUIRED to receive FULL credit for any answer. You must write your answer in the space provided on the exam paper itself. Only these answers will be graded. Circle your answers, or write them in the boxes provided. If space is needed for scratch work, use the backs of previous pages. Problem Value Score 1 40 2 30 3 30 No/Wrong Rec 3
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PROBLEM SPR-09-Q.2.1: (a) For the system described by the difference equation: yOEnŁ D 30xOEnŁ C 20xOEn C 10xOEn , determine the output when the input is xOEnŁ D ıOEnŁ ıOEn C ıOEn ıOEn C ıOEn . Give your answer as a stem plot. - 6 0 1 1 2 3 4 5 6 7 n Label all points (b) When the M ATLAB command soundsc(xx,48000) is used, the highest frequency that can be heard is Hz. (c) The signal x.t/ is bandlimited to 450 Hz, i.e., it has no frequency components for f > 450 Hz. The Nyquist rate for sampling x.t/ is samples/sec.
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(d) Determine the impulse response of the FIR filter defined 2 in M ATLAB via: yy = firfilt( [0,0,0,-123,0,377,0,-222], xx ); Express your answer as a sum of shifted unit-impulse signals. (e) Make a stem plot of the signal sOEnŁ D 200.uOEn uOEn 7Ł/ , where uOEnŁ is the unit-step signal. - 6 0 1 1 2 3 4 5 6 7 n Label all points 2 In M ATLAB , the functions firfilt and conv are equivalent; they produce the same result.
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PROBLEM SPR-09-Q.2.2: The diagram in Fig. 1 depicts a cascade connection of two linear time-invariant systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. - LTI System #1 h 1 OEnŁ , H 1 .e j O !
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