finalv2_s04 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 30-Apr-04 COURSE: ECE-2025 NAME: GT #: LAST, FIRST Recitation Section: Circle the date & time when your Recitation Section meets (not Lab): L03:Tues-Noon (Ji) L04:Thur-Noon (Bordelon) L05:Tues-1:30pm (Ji) L06:Thurs-1:30pm (Bordelon) L11:M-3pm (McClellan) L07:Tues-3pm (Fan) L12:W-3pm (Bordelon) L09:Tues-4:30pm (Fan) L14:W-4:30pm (Bordelon) GTREP: (Barnes) • 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 25 2 25 3 25 4 25 5 25 6 25 7 25 8 25 PROBLEM SPR-04-F.1: Circle the correct answer to each of the following short answer questions, and provide a short justification for your answer. 1. Pick the correct frequency response for the FIR filter: y [ n ] = x [ n ] + x [ n- 3]. (a) 2 cos ( 1 . 5 ˆ ω) (b) 2 e- j 1 . 5 ˆ ω cos ( 1 . 5 ˆ ω) (c) 2 e- j 1 . 5 ˆ ω cos ( . 5 ˆ ω) (d) 2 e- j 2 ˆ ω cos ( ˆ ω) (e) none of the above 2. A sinusoidal signal x ( t ) is defined by: x ( t ) = < e { ( √ 2- j √ 2 ) e j π t } . When x ( t ) is plotted versus time ( t ) , its maximum value will be: (a) A = 1 (b) A = √ 2- j √ 2 (c) A = √ 2 (d) A = 2 (e) none of the above 3. Determine the amplitude ( A ) and phase (φ) of the sinusoid that is the sum of the following three sinusoids: 10 cos ( 6 t + π/ 2 ) + 7 cos ( 6 t- π/ 6 ) + 7 cos ( 6 t + 5 π/ 6 ) , (a) A = 10 and...
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This note was uploaded on 02/07/2012 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Institute of Technology.

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finalv2_s04 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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