{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Helvetica" 1 10 255 0 0 1 2 1 2 0 1 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Helvetica" 1 10 128 0 0 1 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "Helvetica" 0 0 128 0 0 1 1 2 2 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Helvetica" 1 16 128 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 1 0 0 8 4 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Helvetica" 1 14 128 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Helvetica" 1 12 128 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 3 0 3 0 2 2 0 1 } {PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 128 0 0 1 1 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 3 0 3 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 128 0 0 1 1 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 3 0 3 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 3 0 3 0 2 2 15 2 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Helv etica" 1 16 128 0 0 1 2 1 2 2 2 2 1 1 1 1 }3 1 0 0 12 12 3 0 3 0 2 2 19 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }3 1 0 0 8 8 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 128 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 3 0 3 0 2 2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 3 0 3 0 2 2 0 1 }} {SECT 0 {PARA 18 "" 0 "" {TEXT -1 53 "Raspunsul de regim tranzitoriu a l circuitelor liniare" }}{PARA 19 "" 0 "" {TEXT -1 86 "Universitatea T ehnica \"Gh. Asachi\", Iasi, Facultatea de Electronica si Telecomunica tii" }}{PARA 19 "" 0 "" {TEXT -1 43 "Laboratorul de Semnale, Circuite \+ si Sisteme" }}{PARA 19 "" 0 "" {URLLINK 17 "http://scs4.etc.tuiasi.ro " 4 "http://scs4.etc.tuiasi.ro/scslabs/Simbolice/simbolice.htm" "" } {TEXT -1 0 "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "Breviar teoretic " }}{PARA 0 "" 0 "" {TEXT 260 16 "Scopul lucrarii:" }}{PARA 0 "" 0 "" {TEXT -1 111 "Determinarea raspunsului de regim tranzitoriu al unor si steme de ordinul I si II la diferite tipuri de semnale." }}{PARA 0 "" 0 "" {TEXT 261 17 "Rezumat teoretic:" }}{PARA 0 "" 0 "" {TEXT -1 90 "C onsideram un circuit liniar pentru care presupunem ca s-a determinat f unctia de transfer " }{XPPEDIT 18 0 "H(s);" "6#-%\"HG6#%\"sG" }{TEXT -1 15 " cu excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" } {TEXT -1 14 " si raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 88 " (de exemplu, utilizand metoda tensiunilor nodale) si ne propunem sa calculam raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#% \"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t );" "6#-%\"eG6#%\"tG" }{TEXT -1 32 ". In situatia in care semnalele " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 124 " sunt cauzale, circuitul functioneaza in regim tranzitoriu si pentru studiul comportarii de re gim tranzitoriu se utilizeaza " }{TEXT 258 20 "transformata Laplace" } {TEXT -1 13 ".Vom nota cu " }{XPPEDIT 18 0 "Y(s);" "6#-%\"YG6#%\"sG" } {TEXT -1 13 " transformata" }{TEXT 259 1 " " }{TEXT -1 21 "Laplace a s emnalului " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 7 " si \+ cu " }{XPPEDIT 18 0 "E(s);" "6#-%\"EG6#%\"sG" }{TEXT -1 45 " transform ata Laplace a semnalului excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6 #%\"tG" }{TEXT -1 38 ". Metodologia de calcul a raspunsului " } {XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 14 " la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 37 " pentru un circ uitui este urmatoarea:" }}{PARA 15 "" 0 "" {TEXT -1 17 "Determinarea l ui " }{XPPEDIT 18 0 "E(s);" "6#-%\"EG6#%\"sG" }{TEXT -1 5 " din " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 11 ", folosind " } {TEXT 257 28 "transformata Laplace directa" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 17 "Determinarea lui " }{XPPEDIT 18 0 "Y(s);" "6#- %\"YG6#%\"sG" }{TEXT -1 19 ", folosind relatia " }{XPPEDIT 18 0 "Y(s) \+ = H(s)*E(s);" "6#/-%\"YG6#%\"sG*&-%\"HG6#F'\"\"\"-%\"EG6#F'F," }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 17 "Determinarea lui " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 5 " din " }{XPPEDIT 18 0 "Y(s );" "6#-%\"YG6#%\"sG" }{TEXT -1 11 ", folosind " }{TEXT 256 29 "transf ormata Laplace inversa." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 12 "Mod d e lucru" }}{PARA 0 "" 0 "" {TEXT -1 61 "Pachetul de functii cel mai ut ilizat in aceasta lucrare este " }{XPPEDIT 18 0 "inttrans;" "6#%)inttr ansG" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "resta rt:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "L:=table([dir=inttra ns[laplace],inv=inttrans[invlaplace]]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "assume(_alpha,positive):assume(_omega,positive):assum e(_tau,positive):assume(_T,positive):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "N:=5:" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 7 "Exemple " }}{PARA 0 "" 0 "" {TEXT -1 245 "In cele ce urmeaza ne propunem sa de terminam raspunsul de regim periodic al unor circuite relativ simple ( de ordinul I si II) la cateva tipuri de excitatii particulare (semnal \+ treapta, puls dreptunghiular, succesiune de pulsuri dreptunghiulare). " }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 19 "Filtre de ordinul I" }}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 29 "Filtre de ordinul I trece jos" }}{PARA 0 "" 0 "" {TEXT -1 52 "In acest caz functia de transfer a circuitului \+ este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "H:=alpha/(s+alpha); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&%&alphaG\"\"\",&%\"sGF'F&F '!\"\"" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 27 "Raspunsul la semnal t reapta" }}{PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de for ma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "e:=A0*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\"-%*HeavisideG6#% \"tGF'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excita tie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "E:=L[dir](e,t,s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\"%\"sG!\"\"" }}}{PARA 15 " " 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG *&*&%&alphaG\"\"\"%#A0GF(F(*&,&%\"sGF(F'F(F(F,F(!\"\"" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG " }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "y:=L[inv](Y,s,t)*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG**%&alphaG\"\"\"%#A0GF',&*&-%$expG6#,$*&F&F'%\"tG F'!\"\"F'F&F1F1*&F'F'F&F1F'F'-%*HeavisideG6#F0F'" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data reprezentarea semnalelor \+ de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1; " "6#/%#A0G\"\"\"" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "alpha = 1;" "6#/ %&alphaG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 148 "plot(eval([e, y],[A0=1,alpha=1]),t=-1..6,thickness=1,axes=box,t itle=\"Raspunsul la excitatie data a unui FTJ de ordinul I\",labels=[ \"t\",\"e(t),y(t)\"]);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7hn7$$!\"\"\"\"!$F*F*7$$!3%GLL$3#*>u%)!#=F+ 7$$!3%om;z43m9(F/F+7$$!3)QLLe/$f`cF/F+7$$!3kKL$3K\"o]TF/F+7$$!35mm\"Hn 7\\l#F/F+7$$!3q***\\(o\"G:'>F/F+7$$!3GLLekO9o7F/F+7$$!3W(***\\(=R;4*!# >F+7$$!39im;H<%=]&FEF+7$$!3\\%*******H%pq$FEF+7$$!3%oKL3FW?\">FEF+7$$! 3-$**\\i!\\f95FEF+7$$!3%>fmmTb9<\"!#?F+7$$\"3@x+D19z:LFU$\"\"\"F*7$$\" 3LYn;H#QI!yFUFY7$$\"3bT$3_]G!H7FEFY7$$\"3Y3+](=`xn\"FEFY7$$\"3yXL$3_+H 5*FEFY7$$\"3KomT&y/Gl\"F/FY7$$\"3(****\\PurI8$F/FY7$$\"3MNLLe#3dl%F/FY 7$$\"3'zmm\"Ht%o*fF/FY7$$\"34.++vAl1vF/FY7$$\"3l+++DmlA!*F/FY7$$\"3;++ ]s2O[5!#FfpFY 7$$\"3a+]i!o<-1#FfpFY7$$\"3qLL3-$=-@#FfpFY7$$\"3kL$3xplzM#FfpFY7$$\"3g mm\"H([a'\\#FfpFY7$$\"3wm;ayo(3l#FfpFY7$$\"3?+]7VLA&y#FfpFY7$$\"3'pm;a ?@.$HFfpFY7$$\"3)******\\\\@-3$FfpFY7$$\"3Q++v$opoA$FfpFY7$$\"3c+](oMf 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$\"3#pXL=F*f3)*F/7$Fdt$\"3Pt)>!*4;_$)*F/7$Fgt$\"3c@Ihl4(o&)*F/7$Fjt$\" 3W)R7Bzqk()*F/7$F]u$\"338,Wzc.$*)*F/7$F`u$\"3c/&REq-!3**F/7$Fcu$\"3vy! 3dNM/#**F/7$Ffu$\"3DYq:i>TJ**F/7$Fiu$\"3(=$=tmA!3%**F/7$F\\v$\"3'z!\\b !=$H[**F/7$F_v$\"3yNqRF-sb**F/7$Fbv$\"37*eMk^a9'**F/7$Fev$\"3#RSn;!Hvm **F/7$Fhv$\"3M7)3IgS6(**F/7$F[w$\"3COLByC@v**F/-F^w6&F`wF+FawF+-%&TITL EG6#QTRaspunsul~la~excitatie~data~a~unui~FTJ~de~ordinul~I6\"-%+AXESLAB ELSG6$Q\"tF_alQ*e(t),y(t)F_al-%*AXESSTYLEG6#%$BOXG-%*THICKNESSG6#FZ-%% VIEWG6$;F(F[w%(DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 32 "Raspunsul la puls dreptunghiular" }}{PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG 6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "e:=A0*(Heaviside(t)-Heaviside(t-tau));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\",&-%*HeavisideG6#%\"tGF'-F*6# ,&F,F'%$tauG!\"\"F1F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata L aplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "E:=subs(_tau =tau,L[dir](subs(tau=_tau,e),t,s));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"EG*&%#A0G\"\"\",&*&F'F'%\"sG!\"\"F'*&-%$expG6#,$*&F*F'%$tauGF'F+F 'F*F+F+F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a exc itatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este: " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&*(%&alphaG\"\"\"%#A0GF(,&*&F(F(%\"sG!\"\"F(* &-%$expG6#,$*&F,F(%$tauGF(F-F(F,F-F-F(F(,&F,F(F'F(F-" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG " }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "y:=L[inv](Y,s,t)*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG**%&alphaG\"\"\"%#A0GF',&*&*&,&-%$expG6#*&F&F',&% \"tG!\"\"%$tauGF'F'F'F'F3F'-%*HeavisideG6#,&F2F'F4F3F'F'F&F3F'*&,&-F.6 #,$*&F&F'F2F'F3F'F'F3F'F&F3F3F'-F66#F2F'" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data reprezentarea semnalelor de intrar e si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A 0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\" \"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" } {TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 156 "plot(eval( [e, y],[A0=1,alpha=1,tau=10]),t=-1..20,thickness=1,axes=box,title=\"Ra spunsul la excitatie data a unui FTJ de ordinul I\",labels=[\"t\",\"e( t),y(t)\"]);" }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7co7$$!\"\"\"\"!$F*F*7$$!3w+++DwfAa!#=F+7$$ !34+]Pf4@JMF/F+7$$!3V***\\PHC)R9F/F+7$$!3I%\\(=#\\O%*z)!#>F+7$$!3J%*\\ (o/I1?$F9F+7$$!3JpoaN%G4!=F9F+7$$!35Vu=U#oA,%!#?F+7$$\"3)o!Q4ryu%)**FC 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~unui~FTJ~de~ordinul~I6\"-%+AXESLABELSG6$Q\"tFd`qQ*e(t),y(t)Fd`q-%*AXE SSTYLEG6#%$BOXG-%*THICKNESSG6#FZ-%%VIEWG6$;F(Feil%(DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }} }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 29 "Filtre de ordinul I trece sus " }}{PARA 0 "" 0 "" {TEXT -1 52 "In acest caz functia de transfer a ci rcuitului este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "H:=s/(s+a lpha);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&%\"sG\"\"\",&F&F'%&a lphaGF'!\"\"" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 27 "Raspunsul la se mnal treapta" }}{PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia exc itatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este \+ de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "e:=A0*Heaviside (t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\"-%*Heavisid eG6#%\"tGF'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a e xcitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este :" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "E:=L[dir](e,t,s);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\"%\"sG!\"\"" }}} {PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " } {XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&%#A0G\"\"\",&%\"sGF'%&alphaGF'!\"\"" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6# %\"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e( t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 30 "y:=L[inv](Y,s,t)*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*(%#A0G\"\"\"-%$expG6#,$*&%&alphaGF'%\"tGF'!\"\"F '-%*HeavisideG6#F.F'" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de ma i jos este data reprezentarea semnalelor de intrare si iesire pentru c azul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 1 " ." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 148 "plot(eval([e, y],[A0=1 ,alpha=1]),t=-1..6,thickness=1,axes=box,title=\"Raspunsul la excitatie data a unui FTS de ordinul I\",labels=[\"t\",\"e(t),y(t)\"]);" }} {PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7hn7 $$!\"\"\"\"!$F*F*7$$!3%GLL$3#*>u%)!#=F+7$$!3%om;z43m9(F/F+7$$!3)QLLe/$ f`cF/F+7$$!3kKL$3K\"o]TF/F+7$$!35mm\"Hn7\\l#F/F+7$$!3q***\\(o\"G:'>F/F +7$$!3GLLekO9o7F/F+7$$!3W(***\\(=R;4*!#>F+7$$!39im;H<%=]&FEF+7$$!3\\%* ******H%pq$FEF+7$$!3%oKL3FW?\">FEF+7$$!3-$**\\i!\\f95FEF+7$$!3%>fmmTb9 <\"!#?F+7$$\"3@x+D19z:LFU$\"\"\"F*7$$\"3LYn;H#QI!yFUFY7$$\"3bT$3_]G!H7 FEFY7$$\"3Y3+](=`xn\"FEFY7$$\"3yXL$3_+H5*FEFY7$$\"3KomT&y/Gl\"F/FY7$$ \"3(****\\PurI8$F/FY7$$\"3MNLLe#3dl%F/FY7$$\"3'zmm\"Ht%o*fF/FY7$$\"34. ++vAl1vF/FY7$$\"3l+++DmlA!*F/FY7$$\"3;++]s2O[5!#FfpFY7$$\"3a+]i!o<-1#FfpFY7$$\"3qLL 3-$=-@#FfpFY7$$\"3kL$3xplzM#FfpFY7$$\"3gmm\"H([a'\\#FfpFY7$$\"3wm;ayo( 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tH(*>*FU7$Fcu$\"3%H9#>HWcczFU7$Ffu$\"3m?`H%y.)eoFU7$Fiu$\"3-*z;oKt(>fF U7$F\\v$\"3k,#4X%>oq^FU7$F_v$\"3AtkHgs(zU%FU7$Fbv$\"3-O5ac$[X&QFU7$Fev $\"3&yjfK$)4ZK$FU7$Fhv$\"3]I(=\"*pRf)GFU7$F[w$\"3]ejmw@vyCFU-F^w6&F`wF +FawF+-%&TITLEG6#QTRaspunsul~la~excitatie~data~a~unui~FTS~de~ordinul~I 6\"-%+AXESLABELSG6$Q\"tFealQ*e(t),y(t)Feal-%*AXESSTYLEG6#%$BOXG-%*THIC KNESSG6#FZ-%%VIEWG6$;F(F[w%(DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 32 "Raspunsul la puls dreptunghiular" }}{PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 38 "e:=A0*(Heaviside(t)-Heaviside(t-tau));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\",&-%*HeavisideG6#% \"tGF'-F*6#,&F,F'%$tauG!\"\"F1F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Tra nsformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"t G" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "E: =subs(_tau=tau,L[dir](subs(tau=_tau,e),t,s));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&F'F'%\"sG!\"\"F'*&-%$expG6#,$*&F *F'%$tauGF'F+F'F*F+F+F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" } {TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&*(%\"sG\"\"\"%#A0GF(,&*&F( F(F'!\"\"F(*&-%$expG6#,$*&F'F(%$tauGF(F,F(F'F,F,F(F(,&F'F(%&alphaGF(F, " }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "y:=L[inv](Y,s,t)*Heaviside(t);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*(%#A0G\"\"\",&*&-%$expG6#*&%&al phaGF',&%\"tG!\"\"%$tauGF'F'F'-%*HeavisideG6#,&F0F'F2F1F'F1-F+6#,$*&F. F'F0F'F1F'F'-F46#F0F'" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de m ai jos este data reprezentarea semnalelor de intrare si iesire pentru \+ cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" }{TEXT -1 1 "." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 156 "plot(eval([e, y],[A0=1,alph a=1,tau=10]),t=-1..20,thickness=1,axes=box,title=\"Raspunsul la excita tie data a unui FTS de ordinul I\",labels=[\"t\",\"e(t),y(t)\"]);" } {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6) -%'CURVESG6$7co7$$!\"\"\"\"!$F*F*7$$!3w+++DwfAa!#=F+7$$!34+]Pf4@JMF/F+ 7$$!3V***\\PHC)R9F/F+7$$!3I%\\(=#\\O%*z)!#>F+7$$!3J%*\\(o/I1?$F9F+7$$! 3JpoaN%G4!=F9F+7$$!35Vu=U#oA,%!#?F+7$$\"3)o!Q4ryu%)**FC$\"\"\"F*7$$\"3 o0vV)Rw\")R#F9FG7$$\"3obP4@'zv>&F9FG7$$\"3o0+vVG)p*zF9FG7$$\"3d+vVt&f% >>F/FG7$$\"3c++]i3ARIF/FG7$$\"3w+++]%)e$H&F/FG7$$\"3+,+]Pg&za(F/FG7$$ 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" }}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 30 "Filtre de ordinul II trece jos" }}{PARA 0 "" 0 "" {TEXT -1 38 "In acest caz functia de tra nsfer este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "H:=omega^2/(( s+alpha-I*omega)*(s+alpha+I*omega));" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"HG*&*$)%&omegaG\"\"#\"\"\"F**&,(%\"sGF*%&alphaGF**&^#!\"\"F*F(F* F*F*,(F-F*F.F**&^#F*F*F(F*F*F*F1" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 27 "Raspunsul la semnal treapta" }}{PARA 0 "" 0 "" {TEXT -1 32 "In \+ acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG " }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "e:=A0*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG* &%#A0G\"\"\"-%*HeavisideG6#%\"tGF'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "T ransformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#% \"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "E:=L[dir](e,t,s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\" \"\"%\"sG!\"\"" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace \+ a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " e ste:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"YG*&*&)%&omegaG\"\"#\"\"\"%#A0GF*F**(,(%\"sG F*%&alphaGF**&^#!\"\"F*F(F*F*F*,(F.F*F/F**&^#F*F*F(F*F*F*F.F*F2" }}} {PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-% \"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 125 "y:=simplify(normal(subs([_alpha=alpha,_omeg a=omega],L[inv](subs([alpha=_alpha,omega=_omega],Y),s,t)),expanded))*H eaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,$*&*,%#A0G\"\" \"%&omegaGF),(*&-%$cosG6#*&F*F)%\"tGF)F)F*F)F)*&-%$sinGF/F)%&alphaGF)F )*&F*F)-%$expG6#*&F5F)F1F)F)!\"\"F)-F86#,$F:F;F)-%*HeavisideG6#F1F)F), &*$)F5\"\"#F)F)*$)F*FEF)F)F;F;" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In fi gura de mai jos este data reprezentarea semnalelor de intrare si iesir e pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" } {TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 165 "plot(eval( [e, y],[A0=1,alpha=1,omega=10,tau=10]),t=-1..6,thickness=1,axes=box,ti tle=\"Raspunsul la excitatie data a unui FTJ de ordinul II\",labels=[ \"t\",\"e(t),y(t)\"]);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7hn7$$!\"\"\"\"!$F*F*7$$!3%GLL$3#*>u%)!#=F+ 7$$!3%om;z43m9(F/F+7$$!3)QLLe/$f`cF/F+7$$!3kKL$3K\"o]TF/F+7$$!35mm\"Hn 7\\l#F/F+7$$!3q***\\(o\"G:'>F/F+7$$!3GLLekO9o7F/F+7$$!3W(***\\(=R;4*!# >F+7$$!39im;H<%=]&FEF+7$$!3\\%*******H%pq$FEF+7$$!3%oKL3FW?\">FEF+7$$! 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F*%$tauGF*F/F*F.F/F/F*F**&,(F.F*%&alphaGF**&^#F/F*F(F*F*F*,(F.F*F9F**& ^#F*F*F(F*F*F*F/" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " } {XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului \+ la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " \+ este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "y:=subs([_alpha=al pha,_omega=omega,_tau=tau],simplify(normal(L[inv](subs([alpha=_alpha,o mega=_omega,tau=_tau],Y),s,t),expanded)))*Heaviside(t):" }}}{PARA 0 " " 0 "" {TEXT -1 101 "In figura de mai jos este data reprezentarea semn alelor de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 " A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1; " "6#/%&alphaG\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/% $tauG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 166 "plot(eval([e, y],[A0=1,alpha=1,omega=10,tau=10]),t=-1..20,thickne ss=1,axes=box,title=\"Raspunsul la excitatie data a unui FTJ de ordinu l II\",labels=[\"t\",\"e(t),y(t)\"]);" }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7co7$$!\"\"\"\"!$F *F*7$$!3w+++DwfAa!#=F+7$$!34+]Pf4@JMF/F+7$$!3V***\\PHC)R9F/F+7$$!3I%\\ (=#\\O%*z)!#>F+7$$!3J%*\\(o/I1?$F9F+7$$!3JpoaN%G4!=F9F+7$$!35Vu=U#oA,% !#?F+7$$\"3)o!Q4ryu%)**FC$\"\"\"F*7$$\"3o0vV)Rw\")R#F9FG7$$\"3obP4@'zv >&F9FG7$$\"3o0+vVG)p*zF9FG7$$\"3d+vVt&f%>>F/FG7$$\"3c++]i3ARIF/FG7$$\" 3w+++]%)e$H&F/FG7$$\"3+,+]Pg&za(F/FG7$$\"31+]7)>EN?\"!#;F[oFG7$$\"3/+]i&fK.0#F[oFG7$$\"3/+]iN9%e\\#F[oFG7$$\"3x**\\7B:#*R HF[oFG7$$\"3Q++]xCr'R$F[oFG7$$\"3Q++v)>a!*z$F[oFG7$$\"3[++]#o&*>D%F[oF G7$$\"3v****\\()pz1ZF[oFG7$$\"3+++]_+#G+\"Fgs F+7$$\"3))\\iS[!R`+\"FgsF+7$$\"3'\\7G3/x.,\"FgsF+7$$\"3()***\\K.:a,\"F gsF+7$$\"3.]P4=5\\D5FgsF+7$$\"3-+v$H+nb.\"FgsF+7$$\"35]7G#oJt0\"FgsF+7 $$\"3++]ihj4z5FgsF+7$$\"3+++][k1C6FgsF+7$$\"3')**\\7041o6FgsF+7$$\"3** *\\iS!yi57FgsF+7$$\"3'***\\(y3\"*yD\"FgsF+7$$\"3&)****\\]#f.I\"FgsF+7$ $\"33++vyIqX8FgsF+7$$\"3#**\\ilK\"z'Q\"FgsF+7$$\"3.++DM;rJ9FgsF+7$$\"3 y*\\iI9yRZ\"FgsF+7$$\"3;+DJB)e\"=:FgsF+7$$\"3y***\\P^`8c\"FgsF+7$$\"3 \")*\\i:Nulg\"FgsF+7$$\"3++++$RF,l\"FgsF+7$$\"3%***\\Pomm%p\"FgsF+7$$ \"37+D1Or$)QP%f#=FgsF+7$$\"35 +++J/bn=FgsF+7$$\"3'**\\iI'=\">\">FgsF+7$$\"3=+v$RTrV&>FgsF+7$$\"#?F*F +-%'COLOURG6&%$RGBG$\"#5F)F+F+-F$6$7_yF'F,F0F3F6F:F=F@7$FE$\"39O(=$p`f Z\\FC7$FJ$\"3N)*>qBkc;GF97$FM$\"3Iz#\\()>FfF\"F/7$FP$\"3Q:p_l&4c(GF/7$ $\"3]D1k1'Q'z5F/$\"3U,e\")3LTD\\F/7$$\"3U]i!*G*y&f8F/$\"3Mo-d)=$3WsF/7 $$\"3!H1R+4\\&*\\\"F/$\"3pMd<*yaUW)F/7$$\"3Ov=<^#>&R;F/$\"3,IN`FLnR'*F /7$$\"3#yo/BT*[z\"F[o7$$\"3yDJ q&*)*R*>#F/$\"3I**=[Od2$R\"F[o7$$\"3q](oz@S$zCF/$\"3aW>aMK$>b\"F[o7$$ \"3kvVBS0GfFF/$\"3qvF!39y\"f;F[o7$FV$\"3r?3wM)>%4RHFr\"F[o7$$\"3X+v$4\"o,@LF/$\"3q5RO-Qo,Y $F/$\"3MM+;e***on\"F[o7$$\"3M+]PfF\"Gg$F/$\"39.'RVx[#R;F[o7$$\"3C+D\"y q3Y)QF/$\"3KrU@5)[*H:F[o7$$\"3o++DcYSmTF/$\"3IA!4J0>[Q\"F[o7$$\"37,vo/ 1?[WF/$\"3)\\IW8Zlq@\"F[o7$$\"3+,]7`l**HZF/$\"3*f#4i&*G#4/\"F[o7$$\"3* 3]i:]#z6]F/$\"34L/1a$f\\q)F/7$FY$\"3eN)=>,Nn=(F/7$$\"3m,](oM!=deF/$\"3 \"R9f\"e'e%4^F/7$$\"3W,+vVAx?kF/$\"3-*4B3O&))oYF/7$$\"3A,]iSTO%)pF/$\" 3<]#))e#zn?eF/7$Ffn$\"3'o<()o$)*)[0)F/7$$\"35wV)*eETGyF/$\"3Sg>*Q1^GL* F/7$$\"3A^(o/Gp)3\")F/$\"3_;tx;0Ze5F[o7$$\"3KEJ&>!fK*Q)F/$\"3i\"*Hu3-e r6F[o7$$\"3W,vVBDyp')F/$\"33N)[DA#fk7F[o7$$\"3cw=#\\9R-&*)F/$\"3jIvuzX YJ8F[o7$$\"3n^iSmdpI#*F/$\"3+,>?v4\\o8F[o7$$\"3AR%[r2C4P*F/$\"3EGn*\\; 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F97$Fcv$\"3?>S98p]C8F97$$\"3MPM-ljS#R\"Fgs$\"3\\WES)eIx_#FC7$$\"3%\\P% [.9-)R\"Fgs$!3qlkRCMb#z(FC7$$\"3a7`%>WOOS\"Fgs$!3K;mI\\\"*4t9F97$$\"3( *\\iS![^#49Fgs$!3)Q[7Hav6m\"F97$$\"3+D\"Gtb\"[?9Fgs$!3i\"4#*f,->j'FC7$ Ffv$\"3s%p;7i/s8)FC7$$\"3!*\\il))[%GX\"Fgs$\"3%*H1E'>\\u'QFC7$Fiv$!3g# 3,u6(4l&)FC7$$\"3))**\\78L-&[\"Fgs$!3!=TVlq\\uI7 \">WJFddo7$Fax$\"3_\\6^G8Lp " 0 "" {MPLTEXT 1 0 58 "e:=A0*sum(Heavisi de(t-n*T)-Heaviside(t-tau-n*T),n=0..N-1):" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-% \"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "E:=subs([_tau=tau,_T=T],L[dir](subs([T=_T,tau=_tau],e),t,s)): " }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "Y:=simplify(normal(H*E)):" } }}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6# -%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 143 "y:=subs([_tau=tau,_T=T,_alpha=alpha,_omega= omega],normal(L[inv](subs([tau=_tau,T=_T,alpha=_alpha,omega=_omega],Y) ,s,t),expanded))*Heaviside(t):" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In fi gura de mai jos este data reprezentarea semnalelor de intrare si iesir e pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" } {TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 188 "plot(eval([e, y],[A 0=1,alpha=1,omega=10,tau=10,T=20]),t=-10..110,numpoints=1000,thickness =1,axes=box,title=\"Raspunsul la excitatie data a unui FTJ de ordinul \+ II\",labels=[\"t\",\"e(t),y(t)\"]);" }{TEXT -1 0 "" }}{PARA 13 "" 1 " " {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7b`o7$$!#5\"\"!$F*F *7$$!3A:Zr9FKu)*!#k*F/F+7$$!3[O 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*s/((s+alpha-I*omega)*(s+alpha+I*omega));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG,$*&*&%&alphaG\"\"\"%\"sGF)F)*&,(F*F)F(F)*&^#!\" \"F)%&omegaGF)F)F),(F*F)F(F)*&^#F)F)F0F)F)F)F/\"\"#" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 27 "Raspunsul la semnal treapta" }}{PARA 0 "" 0 " " {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t); " "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "e:=A0*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\"-%*HeavisideG6#%\"tGF'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "E:=L[dir](e,t,s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\"%\"sG!\"\"" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t); " "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG,$*&* &%&alphaG\"\"\"%#A0GF)F)*&,(%\"sGF)F(F)*&^#!\"\"F)%&omegaGF)F)F),(F-F) F(F)*&^#F)F)F1F)F)F)F0\"\"#" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsu l " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuit ului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "y:=subs([_a lpha=alpha,_omega=omega],simplify(L[inv](subs([alpha=_alpha,omega=_ome ga],Y),s,t)))*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG, $*&*,%&alphaG\"\"\"%#A0GF)-%$expG6#,$*&F(F)%\"tGF)!\"\"F)-%$sinG6#*&%& omegaGF)F0F)F)-%*HeavisideG6#F0F)F)F6F1\"\"#" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data reprezentarea semnalelor \+ de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1; " "6#/%#A0G\"\"\"" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "alpha = 1;" "6#/ %&alphaG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 158 "plot(eval([e, 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{XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&F'F'%\"sG!\"\"F '*&-%$expG6#,$*&F*F'%$tauGF'F+F'F*F+F+F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-% \"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG,$*&**%&alphaG \"\"\"%\"sGF)%#A0GF),&*&F)F)F*!\"\"F)*&-%$expG6#,$*&F*F)%$tauGF)F.F)F* F.F.F)F)*&,(F*F)F(F)*&^#F.F)%&omegaGF)F)F),(F*F)F(F)*&^#F)F)F:F)F)F)F. \"\"#" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y( t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 126 "y:=subs([_alpha=alpha,_omega=omega ,_tau=tau],simplify(L[inv](subs([alpha=_alpha,omega=_omega,tau=_tau],Y ),s,t)))*Heaviside(t):" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de \+ mai jos este data reprezentarea semnalelor de intrare si iesire pentru cazul particular " 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Fax$!3-/qY$Q^e4%Fj`n7$Fdx$\"3SU+$\\*R\"Q>$Fj`n7$Fgx$\"317\"3LMV0'=Fchn 7$Fjx$!3]&Qp$*3x*H8Fj`n7$F]y$\"316i73HV(f%Fchn-F`y6&FbyF+FcyF+-%&TITLE G6#QURaspunsul~la~excitatie~data~a~unui~FTB~de~ordinul~II6\"-%+AXESLAB ELSG6$Q\"tFd_rQ*e(t),y(t)Fd_r-%*AXESSTYLEG6#%$BOXG-%*THICKNESSG6#FH-%% VIEWG6$;F(F]y%(DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 50 "Raspunsul la succesiune de pulsuri dreptunghiulare" }}{PARA 0 " " 0 "" {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 " e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "e:=A0*sum(Heaviside(t-n*T)-Heavisid e(t-tau-n*T),n=0..N-1):" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" } {TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "E:=sub s([_tau=tau,_T=T],L[dir](subs([T=_T,tau=_tau],e),t,s)):" }}}{PARA 15 " " 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "Y:=simplify(H*E):" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"t G" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "y :=subs([_tau=tau,_T=T,_alpha=alpha,_omega=omega],normal(L[inv](subs([T =_T,tau=_tau,alpha=_alpha,omega=_omega],Y),s,t),expanded))*Heaviside(t ):" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data re prezentarea semnalelor de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 188 "plot(eval([e, y],[A0=1,alpha=1,omega=10,tau=10,T=2 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H:Ffgbn7$Feccl$\"3B?wUVzH+8Ffgbn7$Fhccl$\"3nJaN26!ys'Ff[cn7$F[dcl$!3Yj 67I(ozU\"Ff[cn7$F^dcl$!3g&QC&\\e<;wFf[cn7$Fadcl$!3Y#)*Q)Q(R?5\"Ffgbn7$ Fddcl$!3EMOQX_+?5Ffgbn7$Fgdcl$!3PNm:0[3;hFf[cn7$Fjdcl$!3c()3%*RSXkAFf_ cn7$F]ecl$\"3BGe)GU(32ZFf[cn7$F`ecl$\"3&\\w4'[*>lq(Ff[cn7$Fcecl$\"33J$ fn)3nrxFf[cn7$Ffecl$\"3=_m\\zAA3_Ff[cn7$Fiecl$\"3[>a$eP#\\q6Ff[cn7$F\\ fcl$!3)=lqDo@'eGFf[cn7$F_fcl$!3!44pDB(R3`Ff[cn7$Fbfcl$!3$eh1@(z^9fFf[c n7$Fefcl$!3!RHy.hu6^%Ff[cn7$Fhfcl$!3-(R'3PhJ!e\"Ff[cn7$F[gcl$\"3R`#fUF 'zV7Ff[cn7$F^gcl$\"3l*>0)z5WOOFf[cn7$Fagcl$\"3O+vx5JheVFf[cn7$Fdgcl$\" 3kqCqvE\")*f$Ff[cn-Fggcl6&FigclF+FjgclF+-%&TITLEG6#QURaspunsul~la~exci tatie~data~a~unui~FTB~de~ordinul~II6\"-%+AXESLABELSG6$Q\"tFd[dnQ*e(t), y(t)Fd[dn-%*AXESSTYLEG6#%$BOXG-%*THICKNESSG6#F`\\m-%%VIEWG6$;F(Fdgcl%( DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Cur ve 1" "Curve 2" }}}}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 30 "Filtre de o rdinul II trece sus" }}{PARA 0 "" 0 "" {TEXT -1 38 "In acest caz funct ia de transfer este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "H:=s ^2/((s+alpha-I*omega)*(s+alpha+I*omega));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&*$)%\"sG\"\"#\"\"\"F**&,(F(F*%&alphaGF**&^#!\" \"F*%&omegaGF*F*F*,(F(F*F-F**&^#F*F*F1F*F*F*F0" }}}{SECT 0 {PARA 20 " " 0 "" {TEXT -1 27 "Raspunsul la semnal treapta" }}{PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "e:=A0*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\"-%*HeavisideG6#%\"tGF'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "E:=L[dir](e,t,s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\"%\"sG!\"\"" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t); " "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&*&% \"sG\"\"\"%#A0GF(F(*&,(F'F(%&alphaGF(*&^#!\"\"F(%&omegaGF(F(F(,(F'F(F, F(*&^#F(F(F0F(F(F(F/" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " } {XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului \+ la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " \+ este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "y:=subs([_alpha=al pha,_omega=omega],simplify(L[inv](subs([alpha=_alpha,omega=_omega],Y), s,t)))*Heaviside(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&**%#A0 G\"\"\"-%$expG6#,$*&%&alphaGF(%\"tGF(!\"\"F(,&*&F.F(-%$sinG6#*&%&omega GF(F/F(F(F0*&F7F(-%$cosGF5F(F(F(-%*HeavisideG6#F/F(F(F7F0" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data reprezentarea sem nalelor de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 4 " si " }{XPPEDIT 18 0 "alpha = \+ 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 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3S&*3G2Xz(>$FE7$$\"3-]iScv\"p[$Ffp$!3eD[z?EI=GFE7$Fhs$!3%4)H)*32X[?FE7 $$\"3Km;H(*Q3(f$Ffp$!3MEW\">*R:\"f\"FU7$F[t$\"3%f*G*\\c$z_:FE7$$\"3&)* *\\(=p]cq$Ffp$\"3A%o1*RtQ:@FE7$$\"3&om;a@PMu$Ffp$\"37e_E()psYBFE7$$\"3 'QLe*QPA\"y$Ffp$\"3j#)3Oggd\"*FU7$$\"3?M3Fu&p6w%Ffp$!3 #e7RoM4n:(FU7$Fcu$!3GS%pp7te.#FU7$$\"3Vn;H-,*z!\\Ffp$\"3!f*Hm2LWgMFU7$ Ffu$\"3W$=XR%=7!\\'FU7$$\"3o+D1u'Re0&Ffp$\"3')[]OW'>m\"fFU7$Fiu$\"3!yp PFf5]a#FU7$F\\v$!3#e'Qx.>\\0TFU7$F_v$!3iC@p41W)z#FU7$Fbv$\"3\"y%>-emn: DFU7$Fev$\"3/p$yJn*fHFFU7$Fhv$!3Q,&QvY_cG\"FU7$F[w$!3E[lB\\2C&G#FU-F^w 6&F`wF+FawF+-%&TITLEG6#QURaspunsul~la~excitatie~data~a~unui~FTS~de~ord inul~II6\"-%+AXESLABELSG6$Q\"tFainQ*e(t),y(t)Fain-%*AXESSTYLEG6#%$BOXG -%*THICKNESSG6#FZ-%%VIEWG6$;F(F[w%(DEFAULTG" 1 2 0 1 10 1 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 32 "Raspunsul la puls dreptunghiular" }} {PARA 0 "" 0 "" {TEXT -1 32 "In acest caz expresia excitatia " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma: " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "e:=A0*(Heaviside(t)-Heav iside(t-tau));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\", &-%*HeavisideG6#%\"tGF'-F*6#,&F,F'%$tauG!\"\"F1F'" }}}{PARA 15 "" 0 " " {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "e(t) ;" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "E:=subs(_tau=tau,L[dir](subs(tau=_tau,e),t,s));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&F'F'%\"sG!\"\"F '*&-%$expG6#,$*&F*F'%$tauGF'F+F'F*F+F+F'" }}}{PARA 15 "" 0 "" {TEXT -1 33 "Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-% \"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&*()%\"sG\"\" #\"\"\"%#A0GF*,&*&F*F*F(!\"\"F**&-%$expG6#,$*&F(F*%$tauGF*F.F*F(F.F.F* F**&,(F(F*%&alphaGF**&^#F.F*%&omegaGF*F*F*,(F(F*F8F**&^#F*F*F;F*F*F*F. " }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 126 "y:=subs([_alpha=alpha,_omega=omega ,_tau=tau],simplify(L[inv](subs([alpha=_alpha,omega=_omega,tau=_tau],Y ),s,t)))*Heaviside(t):" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de \+ mai jos este data reprezentarea semnalelor de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" }{TEXT -1 1 "." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 166 "plot(eval([e, y],[A0=1,alph a=1,omega=10,tau=10]),t=-1..20,thickness=1,axes=box,title=\"Raspunsul \+ la excitatie data a unui FTS de ordinul II\",labels=[\"t\",\"e(t),y(t) \"]);" }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 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"Transformata Laplace a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "Y:=simplify(H*E):" }}}{PARA 15 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"t G" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "y :=subs([_tau=tau,_T=T,_alpha=alpha,_omega=omega],normal(L[inv](subs([T =_T,tau=_tau,alpha=_alpha,omega=_omega],Y),s,t),expanded))*Heaviside(t ):" }}}{PARA 0 "" 0 "" {TEXT -1 101 "In figura de mai jos este data re prezentarea semnalelor de intrare si iesire pentru cazul particular " }{XPPEDIT 18 0 "A0 = 1;" "6#/%#A0G\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha = 1;" "6#/%&alphaG\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "tau = 1;" "6#/%$tauG\"\"\"" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 187 "plot(eval([e, y],[A0=1,alpha=1,omega=10,tau=10,T=2 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Intrebari" }}{PARA 0 "" 0 "" {TEXT -1 131 "1. D escrieti metoda de calcul pentru determinarea raspunsului unui circuit liniar, invariant in timp folosind Transformata Laplace." }}{PARA 0 " " 0 "" {TEXT -1 55 "2. Care este transformata Laplace a semnalului tre apta?" }}{PARA 0 "" 0 "" {TEXT -1 67 "3. Care este transformata Laplac e a semnalului puls dreptunghiular?" }}{PARA 0 "" 0 "" {TEXT -1 60 "4. Determinati raspunsul circuitului cu functia de transfer:" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = s/(s+10);" "6#/-%\"HG6#%\"sG*&F'\"\" \",&F'F)\"#5F)!\"\"" }{TEXT -1 1 ";" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = s,H(s) = 1/s;" "6$/-%\"HG6#%\"sGF'/-F%6#F'*&\"\"\"F,F'!\"\"" } {TEXT -1 1 ";" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = 1/(s+1)(s+10); " "6#/-%\"HG6#%\"sG*&\"\"\"F)-,&F'F)F)F)6#,&F'F)\"#5F)!\"\"" }{TEXT -1 1 ";" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = 1/(s^2+.1*s+1);" "6# /-%\"HG6#%\"sG*&\"\"\"F),(*$F'\"\"#F)*&$F)!\"\"F)F'F)F)F)F)F/" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "la semnale de intrare de forma: " }}{PARA 15 "" 0 "" {TEXT -1 15 "semnal treapta;" }}{PARA 15 "" 0 "" {TEXT -1 27 "semnal puls dreptunghiular;" }}{PARA 15 "" 0 "" {TEXT -1 121 "semnal format dintr-un puls dreptunghiular de amplitudine 2 cu la time 3 si un puls dreptunghiular de ampl -1 cu latime 1;" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "e:=2*Heaviside(t)-3*Heaviside(t-3)+ Heaviside(t-4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG,(-%*Heavisid eG6#%\"tG\"\"#*&\"\"$\"\"\"-F'6#,&F)F-F,!\"\"F-F1-F'6#,&F)F-\"\"%F1F- " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(e, t=-1..5,axes=bo x );" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVE SG6$7^p7$$!\"\"\"\"!$F*F*7$$!3/+++]2<#p)!#=F+7$$!3[++]7bBavF/F+7$$!3++ ++D$3XF'F/F+7$$!3c*****\\F)H')\\F/F+7$$!3J++]i3@/PF/F+7$$!3V++]7F+7$$!33')****\\7;)=\"!#?F+7$ $\"3W7+DJ&Rox#FI$\"\"#F*7$$\"3$4,+DJS=u'FIFM7$$\"3%4+v$4Toq5FEFM7$$\"3 !3++v=%=n9FEFM7$$\"3]++vVV=gAFEFM7$$\"3?++++X=`IFEFM7$$\"3f****\\7[=RY FEFM7$$\"3**)****\\7&=DiFEFM7$$\"3y(*****\\d=(R*FEFM7$$\"3m****\\P'=pD \"F/FM7$$\"3A++vVrZ4>F/FM7$$\"3y+++]c.iDF/FM7$$\"3;+++DMe6PF/FM7$$\"32 ,++]>q0]F/FM7$$\"3h******\\U80jF/FM7$$\"3'4+++0ytb(F/FM7$$\"3w****\\(Q NXp)F/FM7$$\"3.+++XDn/5!#6F\\qFM7$$\"3'****\\(3wY_7F \\qFM7$$\"3#)******HOTq8F\\qFM7$$\"37++v3\">)*\\\"F\\qFM7$$\"3:++DEP/B ;F\\qFM7$$\"3=++](o:;v\"F\\qFM7$$\"3=++v$)[op=F\\qFM7$$\"3%*****\\i%Qq *>F\\qFM7$$\"3&****\\(QIKH@F\\qFM7$$\"3#****\\7:xWC#F\\qFM7$$\"37++]Zn %)oBF\\qFM7$$\"3y******4FL(\\#F\\qFM7$$\"3#)****\\d6.BEF\\qFM7$$\"3(** **\\(o3lWFF\\qFM7$$\"3<+]iX)p@\"GF\\qFM7$$\"3!*****\\A))ozGF\\qFM7$$\" 3;+]PCK-5HF\\qFM7$$\"3(****\\iid.%HF\\qFM7$$\"3')*\\(=F[_bHF\\qFM7$$\" 3y**\\7G?pqHF\\qFM7$$\"3]\\PfGcFyHF\\qFM7$$\"3o*\\i!H#fe)HF\\qFM7$$\"3 auoHH5l*)HF\\qFM7$$\"3%)\\7`HGW$*HF\\qFM7$$\"3sCcwHYB(*HF\\qFM7$$\"3e* *****Hk-,IF\\qF(7$$\"3%)****\\FL!e1$F\\qF(7$$\"36+++D-eIJF\\qF(7$$\"3u ***\\(=_(zC$F\\qF(7$$\"3M+++b*=jP$F\\qF(7$$\"3g***\\(3/3(\\$F\\qF(7$$ \"33++vB4JBOF\\qF(7$$\"3u*****\\KCnu$F\\qF(7$$\"3t**\\(=_D8\"QF\\qF(7$ $\"3s***\\(=n#f(QF\\qF(7$$\"36+D1Mg.2RF\\qF(7$$\"30+]P\\`9QRF\\qF(7$$ \"3!)\\7.2+q`RF\\qF(7$$\"3++vokYDpRF\\qF(7$$\"35Dc^$*>.xRF\\qF(7$$\"3= ]PMA$4[)RF\\qF(7$$\"3_7yv')zp))RF\\qF(7$$\"3Gv=<^me#*RF\\qF(7$$\"3/Qfe :`Z'*RF\\qF(7$$\"3P+++!)RO+SF\\qF+7$$\"3m++D;:*R1%F\\qF+7$$\"30++]_!>w 7%F\\qF+7$$\"3O++v)Q?QD%F\\qF+7$$\"3G+++5jypVF\\qF+7$$\"3<++]Ujp-XF\\q F+7$$\"3++++gEd@YF\\qF+7$$\"39++v3'>$[ZF\\qF+7$$\"37++D6Ejp[F\\qF+7$$ \"\"&F*F+-%'COLOURG6&%$RGBG$\"#5F)F+F+-%+AXESLABELSG6$Q\"t6\"Q!6\"-%*A XESSTYLEG6#%$BOXG-%%VIEWG6$;F(F][l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}}}{MARK "0 0" 0 } {VIEWOPTS 1 1 1 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }