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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING QUIZ #2 DATE: 9Mar09 COURSE: ECE2025 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:TuesNoon (Bhatti) L06:ThurNoon (Barry) L07:Tues1:30pm (Bhatti) L08:Thur1:30pm (Barry) L01:M3pm (Chang) L09:Tues3pm (Lee) L02:W3pm (Fekri) L11:Tues4:30pm (Lee) L04:W4:30pm (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 HANDWRITTEN 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 PROBLEM s09Q.2.1: (a) For the system described by the difference equation: yOEnŁ D xOEnŁ C xOEn 2Ł C 2xOEn 3Ł C xOEn 4Ł , determine the output when the input is xOEnŁ D 25ıOEnŁ 35ıOEn 1Ł C 15ıOEn 2Ł . Give your answer as a stem plot. 6 1 1 2 3 4 5 6 7 n Label all points (b) When the MATLAB command soundsc(xx,8000) is used, the highest frequency that can be heard is Hz. (c) The signal x.t/ is bandlimited to 25 Hz, i.e., it has no frequency components for f > 25 Hz. The Nyquist rate for sampling x.t/ is samples/sec. (d) Determine the impulse response of the FIR filter defined 4 in MATLAB via: yy = firfilt( [0,pi,0,0,0,0,pi/2,0,pi], xx ); Express your answer as a sum of shifted unitimpulse signals. (e) Make a stem plot of the signal sOEnŁ D 99.uOEn 1Ł uOEn 3Ł/ , where uOEnŁ is the unitstep signal. 6 1 1 2 3 4 5 6 7 n Label all points 4 In MATLAB, the functions firfilt and conv are equivalent; they produce the same result. PROBLEM s09Q.2.2: The diagram in Fig. 1 depicts a cascade connection of two linear timeinvariant 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....
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 Spring '08
 JUANG
 Digital Signal Processing, Frequency, Signal Processing, LTI system theory, Impulse response, Hz

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