{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

finalv4_f04_soln - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 7-Dec-04 COURSE: ECE-2025 NAME: GT # LAST, FIRST (e.g. gtg123a) Recitation Section: Circle the date & time when your Recitation Section meets (not Lab): L02:Thurs-9:30 (Anderson) L03:Tues-Noon (Williams) L05:Tues-1:30 (Williams) L06:Thurs-1:30 (Anderson) L07:Tues-3:00 (Durey) L08:Thurs-3:00 (Smith) L09:Tues-4:30 (Durey) L10:Thurs-4:30 (Smith) L13:Mon-3:00 (McClellan) L14:Wed-3:00 (Taylor) L15:Mon-4:30 (Hayes) L16:Wed-4:30 (Taylor) 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 × 11 ) 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
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
PROBLEM fall-04-F.1: In each of the following cases, simplify the expression as much as possible. (a) cos(3 π/ 4 t - π/ 2) δ ( t - 3) = (b) [( t + 1) u ( t + 1)] * δ ( t - 2) = (c) 2 0 e - 10 τ δ ( τ - 3) = (d) x [ n ] = 5 cos(0 . 3 πn + π/ 2) + 5 2 cos(0 . 3 πn - π/ 4) =
Image of page 2
PROBLEM fall-04-F.2: Continuous-Time LTI System h ( t ) and H ( ) x ( t ) y ( t ) The periodic input to the above LTI system has the Fourier transform X ( ) drawn below: -5 ω 0 -4 ω 0 -2 ω 0 - ω 0 0 ω 0 2 ω 0 4 ω 0 5 ω 0 ω -3 ω 0 3 ω 0 X ( j ω ) (2 π / 5 π ) (2 π / π ) (2 π / 2) (2 π / π ) (2 π / 5 π ) (-2 π / 3 π ) (-2 π / 3 π ) where the dark arrows denote impulses. For the following outputs of the system, determine from
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}