A#15_Solutions-1 - Assignment#15 Solutions — p ECSE-2410...

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Unformatted text preview: Assignment #15- Solutions — p. / ECSE-2410 Signals & Systems — Spring 2007 4%“ w fl/ >4M :7 ( e 1 .3 Hwy/w » WV 1 "y ,3} >4{57’ E...— ML’ : J S 5/c/Zf[W/flf+yyoyu/&i 26[ 26/7 LCM/77f ’ 7’7 5/“ éaJKoHfl/L coma WA oz : 77% fl; /f° / 5c ”flu/«7 .. mg JIM Assignment #15- Solutions — p. Z. ECSE-2410 Signals & Systems ~ Spring 2007 /—————/—-—. 3 {25/ @kawflwi (.3, inf/mg) M CW); ,_ 77L Assignment #15— Solutions — p. 3 ECSE—2410 Signals & SyStems — Spring 2007 . (-2.; W 3— XM: 56 w 7‘ fl —» *r» A; >45»); .32., ,—.—. / 5+; ”7/? / 5/ ,4. “ /' J—H XG‘KI); ”(6'37 / Xaéfi: 5/51) “6 M'éw) ”WI ,éK “L... M 6 Q5 ‘W M t/ -t‘ e" *Cafi 562%) ......, fife ““7 é :5/(7’C’¢€[fi Assignment #15— Solutions — p. y ECSE—2410 Signals 8; Systems — Spn‘ng 2007 WM; 5 f Find xb (t) the inverse Laplace transform of X2, (5) = 3; 22:+41)_ M 5 ‘3‘ Z” .12”: + M) f -: M 5/124 7) 5 52+ y , 2. / 5 ,2;+/ , /7 / fl 53+ y (70 3 ‘2’ ., 1 2+ / f *2} , 5%), f if” “gr/5 V) 3 7 5 , S 5 / (\J Assignment #15— Solutions — p. { ECSE~2410 Signals & Systems — Spring 2007 /M .4, Find x(t), the inverse Laplace transform of X(s)= S e 52+Ss+6‘ i s S __ A 8 EMS) ‘ 52+53 +4) (g;+29(§.+$) 3+2 §+3 ' S 2 LE... a; .. L A: 5+3 3‘2. 3:»; S :: -3 ‘1 3 B ‘2 94-624 -344. ... 3 Liz-4%) (4&4) +36. “(#40 Assignment #15 — Solutions - p. é ECSE-2410 Signals & Systems - Spring 2007 fi‘ ‘ F. L Cg+tl£8a+3+léj 9H $4. +2? Z 6 W 51+$+4® :‘7 $Z$$+JAE+I®~£LIL :7 G+£+_2fé: 30 M 10 .. E A; ($+1)Hl$)( == 321.9419 Mae 5 5::4 S:’{ m to 98 3544 ”M ‘ "—-—"—~ 2— (stLz-s +19) 5“ 5 43+”? ’0 .—~ QCGZ‘HS'HQ) ":- 13 +')CES+C) fl 1,95 —:.. g;2+(c;+3)§+c $35 a $2“ ~§é>5 0:0 5t?="%/€ 5}; ”5/ :.C,+B ($455 .5. M HQ: 2:?” (war-Ma; (33 y 1%? :[email protected] .. é; 9*: ég ~‘ a S‘H :S—Ejfg'i’za” é-{j—i—M Assignment #15— Solutions — p. 7 ECSE—2410 Signals 8; Systems - Spring 2007 WW4 / 2, ”:0 5L+7£[’L/< 2» K W .2 7/2 >7Z’7W ‘ X/f/Z/ 7’? \ __ / 4/ K7, J/r/ 71”" 254/ ,/‘ W y/d; 2/53 / 542(+? W /f f; WM dad we /0“ Assignment #15— Solutions —- p. 8 ECSE~2410 Signals & Systems - Spring 2007 flLoZéwéé (Cab: 7750 o/Z \ .4. /(f1 K? ”a?” / »{/7 f} / /’-——~—- (“/th - (elf A) flv/MXM “(5,02, / -/L/M ””777 fl/W’ /’UL UZLJ "’ k/ / _/L Assignment #15— Solutions - p. C? ECSE~2410 Signals & Systems — Spring 2007 flag/as match the statements about system behavior to the appropriate system pole-zero diagrams of the function, H(s). Place the appropriate letter (A,B,C,D,E) in the boxes below. system transfer System A Imginaxy 3-plane Real Which system displays no A ovgrshoot in its step reSponse. Which system has the smallest C damping factor when 4 > 0. Which system has the smallest E natural frequency, con. Whi ch one of the underdamped systems System C Imaginary decays to zero the quickest, when a D unit impulse is applied. Rail System B Imaginary ...
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