fa2003_exam2soln - ECE 210f211 Analog Signal Pracessing...

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Unformatted text preview: ECE 210f211 Analog Signal Pracessing Fall 2003 University of Illineis Sarwate. Mitefsky. Kudeki Exam 2 Thursday. ICicrcrher 30, 2003 — T:Dfl~3:15 PM Name: (Please Print) 0mm ECE 21c ECE 211 (circle one) Secticn : {circle one} Please PRINT ycur name and circle ycur ccurse and section in the bcaes abuse. This is a clcsed back and clcssd nctea eaarn. Calculatcrs are net allcwed. Please shcw all year wcrk. Backs cf pages may be used fcr scratch wcrk if necessary. All answers should include units wherever appropriate. Gccd luck! — — — — — F'rdblern 1 (40 points): ET FZ—L—u Hr L/ W a) (lflpte) :. l f 43:: 2- 1. Haw mueh average pewer ie the eeuree delivering to the lead Z L? d 2. What lead Z; will draw the largest are-aunt of average pewer from the eeuree? b) {1Dpte} 1. Find the eenetant W: fj— :- f NE:- 1 “1a, 2. Find the eurrerit fit]. c) {fipte} Let Mt) denete the stead}.r etate reepenee ef the system to input fit). flit) eff} 1.er False? The system with input and eutput eheam belew eannet be mg ,. . —~ and _I__ i *9 59% , We”; liflEElI. _ L4- I'm: '{ M Cw {st—«c , 2. True [email protected] that fit) = 2 and fit} 2 D, the eyetern can he a law-peas er. g“ law._'7h.h 51¢an f[{j:2 M! W W WWJE“ r 3. True er® If fft] = (leaflet) and yft) g —u.1 ein[wt) then the frequent};r r n in =—'r.u. ’ ' eepe SE S f } .i' ltd—Fl j 1(:(__,LJ)(#J):JOJH F I :- d) [11pte) Ceneider the signal fit) = 3 + 2 eeefiflt] + 4 (3::th + U L! L! .ee Cw : 1 LWht'th £15? a. “Z '1 = “w- ale eaveragepewere L3} 13:61:?) +éci féfil:fi+2+g 2. What is the fundamental frequeme},ir of fit}? pm “if: : 2 3. What is the Feurier eeeffieie er the Feurier eeriee in expenential fern]? Problem 2 (2D paints): a) What is the value 0f the phasm‘ V}; in polar form? Preblem 3 (2D paints): Censider the fellewing system with the frequent}:r reepenee H (ti) = % > May it R run, IL\ 3 {L +- +_5_JWL- n, H0“) ; 1 = ‘2? 3) Find Hut). F {ZwLfl ___ H, H(W): L E * K461“); ""_'—"'__"'.-: b] What is H(|'.U} in the limit as n: —+ DD? L‘ru— H (“1) i 2— “ ficTWhat it Hen) in the limit at t: —. n? H (fl) I I dirt}! (a) ti) When ftt} = 2 + ttttttt} it it ttttd that the tutttt it ttt) = A + e ttttttt + 6?}. RHIH (“H”)! 1. Find A. A: :2 J‘- H (I?) I: :2. 2. Find a nnrnerieel veine fer B in the limit as Lt: —t ee. B r: ‘24 Minuet)! = 2 3+ Find rt nnrnerieel value fer f? in the limit as tn —: ere. 6:0 r’fiq‘nu— 4 H(f"'3‘”>= C3. 5 Prpblern 4 (2!) points): a) A periedie signal fit) is the input te en LTI system with fre-tplene}r respense HEw) = ij. The entpnt is p(t) = E?=_m firs-5”“. Find the expenentiel ferm ef the Fenrier series fer the input fit). r , E Y *1 :y—L—ZQ M F? a; Ym "J L :__:____"_":_._._-+ 71mins) Haws) How) Jaw F 2 "HO-4M1) b) A periedie signal pm with peried T = 1s hes the value pl[t) = e“ en the interval D s: t s: 1. . e“ 1. Find the DC level, ['33, for fit). . {C Q &\ 2. Find the Fpuner series fer pEt) 1n exppnentlsl fprrn. ___l__,___ i- _(____ 1 37 1| 1 { ti— ‘ E “Fa-"L" air: aidsifflrrrfi“ 6M:...-|- ‘( Q «a DUC- f" I f’ H(I+j£np>t __ (wan-n54; L mam) "’ f 6' 0H: : a" :: if, PHI _- ' _Hh' Ffl______———-———""'——-|- '3 '- (HJEW‘) r([62‘m) :51 I F-irl ffi ML 6 ————- ___P______.__-_ _._. -l F3? ...
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This note was uploaded on 08/08/2009 for the course ECE 210 taught by Professor Whoever during the Fall '07 term at University of Illinois at Urbana–Champaign.

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fa2003_exam2soln - ECE 210f211 Analog Signal Pracessing...

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