Midterm_soln

Midterm_soln - I Find and sketch the eunvuiutinn of the tiniluwtinj:I equations Clearly lath-e1 uli pertinent x'uiues urtd explain yuur answer in

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Unformatted text preview: I. Find and sketch the eunvuiutinn of the tiniluwtinj:I equations. Clearly lath-e1 uli pertinent x'uiues urtd explain yuur answer in words if you do net have time In earl}: nut the mutil. Ft’tl' purl I'C‘. you are enly required to give a sketch with eieuriy iuheieel 'tr'ttlLtut-i. {45 philllﬁi a) 2:0) * [cos( 0M!) + 50)] b) [e’u(r)]* [Enema] 0) T” 1 1—1 1 -- t I t—-———+ i—T——| T @mm 5m = mm..- mm WT) I WWW 1 1' Cal”: aft) 4% Carat) H0“) #131 “4%.? g: L ,-— Qélb>=€9 f0; - ... )Co/ It)? i t I CG): f CUSC’C’) of?“ : 5m 1/ :- 9m% 2 D :0 re (:3 : 9:976 51(6) 34 t 1 er gar/r: 1 .- eta”) ’t’ 1 ﬁrm 7 5%(7‘) -—-> at) :g MCI”) 1 -Ep #1..»- _, I Km): 5 “(0%, X201): 5 guise) (gm _. Ear 5C0 CG):O 4: ’1' F S, 7‘70 e is + 15’ 134' 315% Z13? CH): [4536 g.- {3 or?“ ~«L5/ b 0 2" C? s is 5 .L e — L a? 2, 2. ﬁtJI-Lff-f? KG)? 6’ .10) *9 é .6 h: # 4 .13 Kim: 5 £40“) “A: Xaf'C’): 5 Mt) 65441:: P a Ear f<0 (I‘M-:0 . :3 Egg” 2"?0 . it f-F’C' (#73) " r‘“ZT N f pa”? E“ cwﬁea .; r: and“: U D 2 D f —r r L6 -~ J. - Z Z C(0):0 {— CCLL>>0)ﬁ if? '2 ﬂf‘ (520 M Mme max arm/mp 5 do) , QMﬁ/ﬁ W 54% :' : id: 7 .— 6 \$7: CC?) : Cowgf : Mm “Mall-3.x 0W6 fed : 777 _ r T . F galéMﬁ, 724m; ,g, {43:4 f+IZ- <% 651‘) Mariam; KIM”? jam 315/0 7‘0 777 _.. {/ﬂﬂj grams}? ‘5 {he jgm‘ {Ami {A9, ate, 3 \$2.503 haw @607”; W 67mg M Mr? MM 5ng Name 3 g 2. In your awn wards explain the concapt of canvnlutinn and what it is used fur. U SE words and graphs [0 aid your explanation. [I 5 points} " Cshuulv'h'w (highly: MM Gu- :HFV‘I' Siobnaﬂ, imPvLy. r15?§}\\${,} amt Mmé‘FJI a; (1n Ss‘atﬁm‘ H EL irv-flJil- MEPOAM crack-a LT; SEVEN} M m“ Lin-«l ﬁbre-Q (L; at] \$wa fnfv‘l’ 1/51an N. " (ML um WWW a» pmlkml an, +L “ghk ﬂ "he-LHYwL _ L ) KG?) Jr} n A) *9 km Name 16?)“ 3. Give a real world example ot‘a systnm which can he cunsiderad a lint-3r tima invariant systam and explain why it can he assumed as an LTI system. Under what conditions is the system non-linear and why? Under what mnditinns is thE: system time-varying and why? {It} points} 6111 Gm RC ﬁl'rcvl'? can in!- Lanﬁqu-N-J a“ jEJ‘lr-Lﬂ. uncﬂN' {ingfmaﬁri QPUKJ~Iﬁ nmdllﬁmt (4-. 1A} LIOVJ '" Cirguﬁ Linn. b— &L '1 Jr %ﬂ w cL Guﬂlhlld QM AWDL. " ﬁx 51:4} Mit’hri at Eﬁfﬁtﬂ'ﬂ’" “1-311 W hm wnpw. chthksj Lhamatuighu 05 "EL. QC ﬂat-'7‘}? —-F" Name 4. Find the lriganumalrie Fourier series liar the rum periodic square wares heluw. Pint the ﬁrst 3 harmmties as a Function of Frequency. What is happening to the 1values til the harmunies as the square wave is enmpressed. Since this is an even Functinn. year will truly have to calculate as {31] points] T! 2 ’X‘ (‘0 |——i 1 at? an t bﬂ E . T TH ﬁat/j) é a” :ﬁﬁ} mf Mg, fmwdmmv‘af 20% my Xﬂ) is dr‘ﬂé/ﬁar‘ ﬁrm/m zléla/ 9/)(20') ...
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This note was uploaded on 02/27/2008 for the course BME 513 taught by Professor Yen during the Fall '07 term at USC.

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Midterm_soln - I Find and sketch the eunvuiutinn of the tiniluwtinj:I equations Clearly lath-e1 uli pertinent x'uiues urtd explain yuur answer in

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