sample_exam1

sample_exam1 - Rama: Student ID: {‘nh ersity of Minnesota...

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Unformatted text preview: Rama: Student ID: {‘nh ersity of Minnesota Dciai. nf‘EEectricul and Cnmpuz‘cr iinginem'ing EE 4541: Digital Signal Prucessing fall 1093 £21m“ } October 23‘ 2033 go: #0164) I Question I J] O JQUCSUOH 2 _ I fl 0 5 i Question 3 I :10 I $T0TAL agj Salve the Three problems that appear on the Hex: pagcs. A) Problem I (a) The discrete signal If?!) = 3 raspm’kfi + sém’imfl) was cbmineé by sampling the oominuaus lime signal 1ij = 3 aosflOmj I’sierL-‘mj with a sampling time T. Detcmu'ne two \‘aiusi of 73113! are consistent with this informaiion. .5255de ’70 aéélfif/ 05. 542%. i07r‘T= I cm} 4 25:77 T: 71 a <22) .? A Wg/fi figé’éi’kj} #5 (a; flaw. 0%.; 41*; Mng g as: 53/” J _ m 177: 327%, 4 l7, Sam 5%?! A é (59 {b} Consider 313 system shown iielaaxh Suppese than the sigma! xiii) has a Fourier Eransfoma ,E’r‘gj such ti1ath’f2F 1") Sb? 1; :> 2;? {04. 'For Whal range m" '1" is 5113 Structure above equivalcni to an analglg low pass filmy wifh cut-0.1:? frequency QC? That 15, for what range of F, 18‘??? a iowpass varsum nf‘xm" #ng M W a w ,«M W; 2%: PF “fl/,1; fi- 5% l «2 6123 a? ’1 HI A uh. Wt: 17 9 fig” “73 diam-5]] r55 {as QWXEUVXT 4 T? :3 77$! éxllfi"? 5%- flé’r {IF/fit, flfiféf; @6197} T: 64):, x‘s 13%éc‘45 :7 é" iff- 6”)“;7‘. 63w [£2 aéfgfmx’éij 5} W ' é ./ I» I! ‘ ' '1 ..‘ . . u , r -s ' it} ,, . ... , ‘ r __ ‘ fi gig/)1 "M fly“? ifié’fimv 35' fizz/32¢; ,L at f $ij z , r. 2’ a ma I: -, ' fl 5% fig/figv? c L Pl‘bbiem 2 Cansééer ihc sysmm séirawn hcémw PioE HQ) liler} and {My} am as shim-'21 below. i r '_"_—] \ lxg'n) = x WW) m} A vim) /_ fin) 7 w ——>[ CED flifi Hm; DJC I L LA I "(:4 ("1 }” Tam Ema fi-W‘éé %W WM 545%: :7; W! 17. mm”) E3) Pratyiém 3 Coztsafifi’ the system sh . The. iinsat' medals For the sigma-(151m madam ' in the system at? also hEOWfl beiow‘ Note that thsse sigma-delta modufatm‘s have Ewe OULITLJIS.‘ the, manual quantized output 342) and the quantization EIUISE. The quantization {10135 of the seocuxf sagma dalta ‘5 not used Note afso thnt the ttjzxztjon noise of [he fitsr Sigma—delta is quantized m tum. Assume tbat {he qwuzatmn racists at" rhg: two su‘ttcmma are iglciepcndem and can he modded a? whne no " is: Also, assume that the quantizca‘s usaci in both sigma-deltas are agitanuzexs, 01:9 bit W931} E- i i ~ 5 v——1 Sigma mafia 7—2': f'—““"“ (WI [ § 3 a - I gfl._g xrn: ‘ a f "\ a ’ MH_fi.—_J + l . I j . (a) Derive :he transfer functions from t! 936’}; to the ouiptlijfsy. Wt 275%“: ; 167 input 3:53;}, quantization :10ises em?) mad {b} Hnw many bits (is we gain for each doubling fifth: sampéing raw usml to chain ,{r’iyi‘ fly I ‘ j .A ‘ 7 / a’ sheaf/4 AM It @égé 24tmérz x5 W MM 24 5%,! fix“ 5M fiték'cf/ 5? Ma” 2:) 7 if 554W)? %r 513/ 49% {7/ £4 Mix/£3 IQ; O 4’ ...
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This note was uploaded on 10/30/2009 for the course EE 4541 taught by Professor Na during the Fall '06 term at Kentucky.

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sample_exam1 - Rama: Student ID: {‘nh ersity of Minnesota...

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