finalv2_s05 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 2-May-05 COURSE: ECE-2025 NAME: GT #: LAST, FIRST (ex: gtz125a ) Recitation Section: Circle the date & time when your Recitation Section meets (not Lab): L05:Tues-Noon (Chang) L06:Thur-Noon (Ingram) L07:Tues-1:30pm (Chang) L08:Thurs-1:30pm (Zhou) L01:M-3pm (Williams) L09:Tues-3pm (Casinovi) L02:W-3pm (Juang) L10:Thur-3pm (Zhou) L03:M-4:30pm (Casinovi) L11:Tues-4:30pm (Casinovi) L04:W-4:30pm (Juang) GTSav: (Moore) • 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 30 2 30 3 30 4 30 5 30 6 30 7 30 PROBLEM SPR-05-F.1: The transmitter system below involves a multiplier followed by a filter: 1 ω X ( j ω) ω b – ω b (a) (b) 1 LTI System h ( t ), H ( j ω) cos (ω m t ) v( t ) x ( t ) y ( t ) ω X ( j ω) ω m- ω m The Fourier transform of the input is X ( j ω) . For all parts below, assume that ω m = 200 π , and ω b = 100 π . (a) Make a sketch of V ( j ω) , the Fourier transform of v( t ) , when the input is X ( j ω) shown above....
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