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determinam raspunsul de regim periodic al unor circuite rel ativ simple (de ordinul I si II) la cateva tipuri de excitatii particu lare (semnal treapta, puls dreptunghiular, succesiune de pulsuri drept unghiulare). Pentru realizarea facila a calculelor simbolice, mai jos \+ sau asociat diverse proprietati unor variabile locale:" }}{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'!\" \"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "H:=subs(s=I*omega,alp ha/(s+alpha));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&%&alphaG\"\" \",&*&^#F'F'%&omegaGF'F'F&F'!\"\"" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 34 "Reprezentarea Functiei de Transfer" }}{PARA 0 "" 0 "" {TEXT -1 82 "Reprezentarea functiei de transfer a filtrului se observa din graf icul de mai jos:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 225 "PLOTH:= plots[spacecurve]([omega,Re(eval(H,alpha=1)),Im(eval(H,alpha=1))],omeg a=-10..10,numpoints=400,color=black,axes=normal,labels=[\"omega\",\"Re \",\"Im\"],title=\"Functia de transfer a filtrului (dependenta de frec venta)\"):PLOTH;" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6&-%'CURVESG6$7\\dl7%$!#5\"\"!$\"+*4!*4!**!#7$F,!#67%$!+(ou)\\**!\" *$\"+r$*******F-$\"+hS()\\**F/7%$!+u$\\(**)*F3$\"+8'\\+,\"F/$\"+E!Q#** **F/7%$!+hSi\\)*F3$\"+A5D?5F/$\"+-*3\\+\"F)7%$!+[()\\*z*F3$\"+CsgI5F/$ \"+?M%*45F)7%$!+NMP\\(*F3$\"+a87T5F/$\"+(3G],\"F)7%$!+A\"[#*p*F3$\"+Gm z^5F/$\"+ZO;?5F)7%$!+4G7\\'*F3$\"+Xjji5F/$\"+f3ND5F)7%$!+'\\(**)f*F3$ \"+()Qkt5F/$\"+)\\!fI5F)7%$!+$=s)[&*F3$\"+BF#[3\"F/$\"+_L)e.\"F)7%$!+q ou)\\*F3$\"+8k<'4\"F/$\"+F-BT5F)7%$!+d:i[%*F3$\"+3'3x5\"F/$\"+V>jY5F)7 %$!+Wi\\)R*F3$\"+cIU>6F/$\"+Q$*3_5F)7%$!+J4P[$*F3$\"+-OKJ6F/$\"+nKgd5F )7%$!+=cC)H*F3$\"+%>9M9\"F/$\"+-Y*F3$\"+J==o6F/$\"+jI\\u5F)7%$!+z'py9*F3$\"+4t'3=\"F/ $\"+D?C!3\"F)7%$!+mVu(4*F3$\"+/(fP>\"F/$\"+i?0'3\"F)7%$!+`!>w/*F3$\"+A 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"6#-%\"eG6#%\"tG" }{TEXT -1 15 " este de forma:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "e:=A0*cos(w0*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG*&%#A0G\"\"\"-%$cosG6#*&%#w0GF'%\"tGF'F'" }}} {PARA 0 "" 0 "" {TEXT -1 33 "Transformata Fourier a excitatie " } {XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "E:=F[dir](e,t,omega);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&%#PiGF'-%&DiracG6#,&%&ome gaG!\"\"%#w0GF'F'F'*&F*F'-F,6#,&F/F'F1F'F'F'F'" }}}{PARA 0 "" 0 "" {TEXT -1 33 "Transformata Fourier a excitatie " }{XPPEDIT 18 0 "y(t); " "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&*(% &alphaG\"\"\"%#A0GF(,&*&%#PiGF(-%&DiracG6#,&%&omegaG!\"\"%#w0GF(F(F(*& F,F(-F.6#,&F1F(F3F(F(F(F(F(,&*&^#F(F(F1F(F(F'F(F2" }}}{PARA 0 "" 0 "" {TEXT -1 10 "Raspunsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" } {TEXT -1 29 " al circuitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6# -%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "y:=simplify(normal(convert(F[inv](Y,omega,t),trig),ex panded));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&*(%&alphaG\"\"\"% #A0GF(,&*&%#w0GF(-%$sinG6#*&F,F(%\"tGF(F(F(*&F'F(-%$cosGF/F(F(F(F(,&*$ )F,\"\"#F(F(*$)F'F8F(F(!\"\"" }}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 62 "Raspunsul la semnal armonic de frecventa de taiere a filtrului" }} {PARA 0 "" 0 "" {TEXT -1 90 "Se calculeaza raspunsul circuitului la fr ecventa egala cu frecventa de taiere a filtrului:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "e1:=eval(e,w0=alpha);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G*&%#A0G\"\"\"-%$cosG6#*&%&alphaGF'%\"tGF'F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "y1:=simplify(eval(y,w0=alpha ));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*&%#A0G\"\"\",&-%$sinG6 #*&%&alphaGF(%\"tGF(F(-%$cosGF,F(F(#F(\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 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12" }}}}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 29 "Filtre de o rdinul I trece sus" }}{PARA 0 "" 0 "" {TEXT -1 52 "In acest caz functi a de transfer a circuitului este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "H:=s/(s+alpha);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"HG*&%\"sG\"\"\",&F&F'%&alphaGF'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "H:=subs(s=I*omega,s/(s+alpha));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&*&^#\"\"\"F(%&omegaGF(F(,&*&F'F(F)F(F(%&alphaGF (!\"\"" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 34 "Reprezentarea Functie i de Transfer" }}{PARA 0 "" 0 "" {TEXT -1 82 "Reprezentarea functiei d e transfer a filtrului se observa din graficul de mai jos:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 225 "PLOTH:=plots[spacecurve]([omega,Re (eval(H,alpha=1)),Im(eval(H,alpha=1))],omega=-10..10,numpoints=400,col or=black,axes=normal,labels=[\"omega\",\"Re\",\"Im\"],title=\"Functia \+ de transfer a filtrului (dependenta de frecventa)\"):PLOTH;" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 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16 "e:=A0*cos(w0*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"eG*&%#A0G\"\"\"-%$cosG6#*&%#w0GF'%\"tGF'F'" }}}{PARA 0 "" 0 "" {TEXT -1 33 "Transformata Fourier a excitatie " }{XPPEDIT 18 0 "e(t); " "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "E:=F[dir](e,t,omega);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&%#PiGF'-%&DiracG6#,&%&omegaG!\"\"%#w0GF'F 'F'*&F*F'-F,6#,&F/F'F1F'F'F'F'" }}}{PARA 0 "" 0 "" {TEXT -1 33 "Transf ormata Fourier 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*&**^#\"\"\"F(%&omegaGF(%#A 0GF(,&*&%#PiGF(-%&DiracG6#,&F)!\"\"%#w0GF(F(F(*&F-F(-F/6#,&F)F(F3F(F(F (F(F(,&*&F'F(F)F(F(%&alphaGF(F2" }}}{PARA 0 "" 0 "" {TEXT -1 10 "Raspu nsul " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 29 " al circ uitului la excitatia " }{XPPEDIT 18 0 "e(t);" "6#-%\"eG6#%\"tG" } {TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "y:=sim plify(normal(convert(F[inv](Y,omega,t),trig),expanded));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"yG*&*(%#A0G\"\"\"%#w0GF(,&*&F)F(-%$cosG6#*&F )F(%\"tGF(F(F(*&%&alphaGF(-%$sinGF.F(!\"\"F(F(,&*$)F)\"\"#F(F(*$)F2F9F (F(F5" }}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 62 "Raspunsul la semnal a rmonic de frecventa de taiere a filtrului" }}{PARA 0 "" 0 "" {TEXT -1 90 "Se calculeaza raspunsul circuitului la frecventa egala cu frecvent a de taiere a filtrului:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 " e1:=eval(e,w0=alpha);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G*&%#A0G \"\"\"-%$cosG6#*&%&alphaGF'%\"tGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "y1:=simplify(eval(y,w0=alpha));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*&%#A0G\"\"\",&-%$cosG6#*&%&alphaGF(%\"tGF(F(-% $sinGF,!\"\"F(#F(\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 " plot(eval([e1,y1],[alpha=1,A0=1]),t=-3*Pi..3*Pi,title=\"Formele de und a la frecventa de taiere a filtrului\");" }}{PARA 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"Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" }}}}}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 20 "Filtre de ordinul II" }}{PARA 0 "" 0 "" {TEXT -1 64 "Vom \+ discuta despre filtre de ordinul cu poli complex conjugati. " }}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 30 "Filtre de ordinul II trece jos" }} {PARA 0 "" 0 "" {TEXT -1 38 "In acest caz functia de transfer este:" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "H:=omega0^2/(s^2+2*alpha*s+ omega0^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&*$)%'omega0G\"\" #\"\"\"F*,(*$)%\"sGF)F*F**(F)F*%&alphaGF*F.F*F**$F'F*F*!\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "H:=subs(s=I*omega,omega0^2/( s^2+2*alpha*s+omega0^2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&* $)%'omega0G\"\"#\"\"\"F*,(*$)%&omegaGF)F*!\"\"*(^#F)F*%&alphaGF*F.F*F* *$F'F*F*F/" }}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 34 "Reprezentarea Fun ctiei de Transfer" }}{PARA 0 "" 0 "" {TEXT -1 82 "Reprezentarea functi ei de transfer a filtrului se observa din graficul de mai jos:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 253 "PLOTH:=plots[spacecurve]([o mega,Re(eval(H,[alpha=0.25,omega0=1])),Im(eval(H,[alpha=0.25,omega0=1] ))],omega=-10..10,numpoints=400,color=black,axes=normal,labels=[\"omeg a\",\"Re\",\"Im\"],title=\"Functia de transfer a filtrului (dependenta de frecventa)\"):PLOTH;" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6&-%'CURVESG6$7\\dl7%$!#5\"\"!$!+S5`25!#6$\"+21a)3&!#87%$ !+(ou)\\**!\"*$!+8_y<5F-$\"+*Q_n;&F07%$!+u$\\(**)*F4$!+Dr>G5F-$\"+>+eY _F07%$!+hSi\\)*F4$!+O+xQ5F-$\"+mb1G`F07%$!+[()\\*z*F4$!+!H2&\\5F-$\"+D CD6aF07%$!+NMP\\(*F4$!+?BTg5F-$\"+j`='\\&F07%$!+A\"[#*p*F4$!+]')[r5F-$ \"+u0\"He&F07%$!+4G7\\'*F4$!+%*)RF3\"F-$\"+IdZrcF07%$!+'\\(**)f*F4$!+l (pT4\"F-$\"+O+$>w&F07%$!+$=s)[&*F4$!+v?y06F-$\"+%HCV&eF07%$!+qou)\\*F4 $!+P2e<6F-$\"+`4r[fF07%$!+d:i[%*F4$!+q(p&H6F-$\"+#=W^/'F07%$!+Wi\\)R*F 4$!+0LvT6F-$\"+N*zO9'F07%$!+J4P[$*F4$!+#eNT:\"F-$\"+7gPWiF07%$!+=cC)H* F4$!+g4sm6F-$\"+Q@HZjF07%$!+0.7[#*F4$!+ *F4$!+e!>D>\"F-$\"+?N.glF07%$!+z'py9*F4$!+96u07F-$\"+U&))*pmF07%$!+mVu (4*F4$!+\\\\=>7F-$\"+7LU#y'F07%$!+`!>w/*F4$!+nb&GB\"F-$\"+y$3u*oF07%$! 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0 "e(t);" "6#-%\"eG6#%\"tG" }{TEXT -1 6 " este:" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "E:=F[dir](e,t,omega);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG*&%#A0G\"\"\",&*&%#PiGF'-%&Dirac G6#,&%&omegaG!\"\"%#w0GF'F'F'*&F*F'-F,6#,&F/F'F1F'F'F'F'" }}}{PARA 0 " " 0 "" {TEXT -1 33 "Transformata Fourier a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "Y:=normal(H*E,expanded);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG*&,&**)%'omega0G\"\"#\"\"\"%#A0GF+%#PiGF+-%&Dirac G6#,&%&omegaG!\"\"%#w0GF+F+F+**F(F+F,F+F-F+-F/6#,&F2F+F4F+F+F+F+,(*$)F 2F*F+F3*(^#F*F+%&alphaGF+F2F+F+*$F(F+F+F3" }}}{PARA 0 "" 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 62 "y:=simplify(normal(convert(F[inv](Y,omega,t),trig),expanded));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,$*&*(%#A0G\"\"\")%'omega0G\"\"# F),(*&)%#w0GF,F)-%$cosG6#*&F0F)%\"tGF)F)F)**F,F)%&alphaGF)F0F)-%$sinGF 3F)!\"\"*&F*F)F1F)F:F)F),**$)F0\"\"%F)F)*(F,F)F/F)F*F)F:*(F?F))F7F,F)F /F)F)*$)F+F?F)F)F:F:" }}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 84 "Raspun sul la semnal armonic de frecventa egala cu frecventa de rezonanta a f iltrului" }}{PARA 0 "" 0 "" {TEXT -1 90 "Se calculeaza raspunsul circu itului la frecventa egala cu frecventa de taiere a filtrului:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "e1:=eval(e,w0=omega0);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G*&%#A0G\"\"\"-%$cosG6#*&%'omega0 GF'%\"tGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "e1 := A0*co s(omega0*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G*&%#A0G\"\"\"-%$ cosG6#*&%'omega0GF'%\"tGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "y1:=simplify(eval(y,w0=omega0));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*&*(%#A0G\"\"\"%'omega0GF)-%$sinG6#*&F*F)%\"tGF)F)F)%&al phaG!\"\"#F)\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" 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1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" " Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" }}}}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 32 "Filtre de ordinul II trece banda" }} {PARA 0 "" 0 "" {TEXT -1 38 "In acest caz functia de transfer este:" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "H:=2*alpha*s/(s^2+2*alpha*s +omega0^2);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG,$ *&*&%&alphaG\"\"\"%\"sGF)F),(*$)F*\"\"#F)F)*(F.F)F(F)F*F)F)*$)%'omega0 GF.F)F)!\"\"F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "H:=subs(s =I*omega,2*alpha*s/(s^2+2*alpha*s+omega0^2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG*&*(^#\"\"#\"\"\"%&alphaGF)%&omegaGF)F),(*$)F+F(F )!\"\"*(F'F)F*F)F+F)F)*$)%'omega0GF(F)F)F/" }}}{SECT 0 {PARA 20 "" 0 " " {TEXT -1 34 "Reprezentarea Functiei de Transfer" }}{PARA 0 "" 0 "" {TEXT -1 82 "Reprezentarea functiei de transfer a filtrului se observa din graficul de mai jos:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 253 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din graficul de mai jos:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 253 "PLOTH:=plots[spacecurve]([o mega,Re(eval(H,[alpha=0.25,omega0=1])),Im(eval(H,[alpha=0.25,omega0=1] ))],omega=-10..10,numpoints=800,color=black,axes=normal,labels=[\"omeg a\",\"Re\",\"Im\"],title=\"Functia de transfer a filtrului (dependenta de frecventa)\"):PLOTH;" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6&-%'CURVESG6$7\\]n7%$!#5\"\"!$\"+S5`25!\"*$!+21a)3&!#67% $!+6(o\\(**F-$\"+S!pv+\"F-$!+.7w,^F07%$!+Au$*\\**F-$\"+Htg25F-$!+\"z^] 6&F07%$!+Lh!\\#**F-$\"+4fk25F-$!+PHTG^F07%$!+W[()**)*F-$\"+%y%o25F-$!+ 9_%=9&F07%$!+bN%[()*F-$\"+dRs25F-$!+)>\\`:&F07%$!+mA\")\\)*F-$\"+IMw25 F-$!+sa#*o^F07%$!+x4yC)*F-$\"+2K!y+\"F-$!+IYd#=&F07%$!+)o\\(*z*F-$\"+ \"HVy+\"F-$!+osH'>&F07%$!+*R=Zx*F-$\"+'o$)y+\"F-$!+*)R45_F07%$!+5ro\\( *F-$\"+$RCz+\"F-$!+/a'RA&F07%$!+@elC(*F-$\"+D&F07%$!+VKfu'*F-$\"+G%[!35F-$!+CS.m_F07%$!+ a>c\\'*F-$\"+@/435F-$!+f/@!G&F07%$!+l1`C'*F-$\"+WF835F-$!+YZY%H&F07%$! 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G6#,&%&omegaG!\"\"%#w0GF'F'F'*&F*F'-F,6#,&F/F'F1F'F'F'F'" }}}{PARA 0 " " 0 "" {TEXT -1 33 "Transformata Fourier a excitatie " }{XPPEDIT 18 0 "y(t);" "6#-%\"yG6#%\"tG" }{TEXT -1 6 " este:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Y:=H*E;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"YG ,$*&*()%&omegaG\"\"#\"\"\"%#A0GF+,&*&%#PiGF+-%&DiracG6#,&F)!\"\"%#w0GF +F+F+*&F/F+-F16#,&F)F+F5F+F+F+F+F+,(*$F(F+F4*(^#F*F+%&alphaGF+F)F+F+*$ )%'omega0GF*F+F+F4F4" }}}{PARA 0 "" 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 62 "y:=simplify(normal( convert(F[inv](Y,omega,t),trig),expanded));" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&*(%#A0G\"\"\")%#w0G\"\"#F(,(*&F)F(-% $cosG6#*&F*F(%\"tGF(F(F(**F+F(%&alphaGF(F*F(-%$sinGF0F(!\"\"*&)%'omega 0GF+F(F.F(F7F(F(,**$)F*\"\"%F(F(*(F+F(F)F(F9F(F7*(F>F()F4F+F(F)F(F(*$) F:F>F(F(F7" }}}}{SECT 0 {PARA 20 "" 0 "" {TEXT -1 84 "Raspunsul la sem nal armonic de frecventa egala cu frecventa de rezonanta a filtrului" }}{PARA 0 "" 0 "" {TEXT -1 90 "Se calculeaza raspunsul circuitului la \+ frecventa egala cu frecventa de taiere a filtrului:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "e1:=eval(e,w0=omega0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G*&%#A0G\"\"\"-%$cosG6#*&%'omega0GF'%\"tGF'F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "y1:=simplify(eval(y,w0=omega 0));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*&*(%#A0G\"\"\"%'omega 0GF)-%$sinG6#*&F*F)%\"tGF)F)F)%&alphaG!\"\"#F1\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plot(eval([e1,y1],[alpha=0.25,omega0=1,A 0=1]),t=-3*Pi..3*Pi,title=\"Formele de unda la frecventa de taiere a f iltrului\");" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6' -%'CURVESG6$7[u7$$!3^***H>%zxC%*!#<$!2y***************F*7$$!3s)G$[2'>M P*F*$!3;vIQ'\\9o)**!#=7$$!3#*F*$!37-\"=TvE(*y*F27$$!3qF(\\_$zi;\" 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Intrebari" }} {PARA 0 "" 0 "" {TEXT -1 74 "1. Ce tip de simetrie are modulul functie i de transfer in regim permanent?" }}{PARA 0 "" 0 "" {TEXT -1 77 "2. C e tip de simetrie are argumentul functiei de transfer in regim permane nt?" }}{PARA 0 "" 0 "" {TEXT -1 101 "3. Refaceti calculele si reprezen tarile grafice pentru un filtru trece tot de ordin I si de ordin II." }}{PARA 0 "" 0 "" {TEXT -1 87 "4. Refaceti calculele si reprezentarile grafice pentru urmatoarele functii de transfer:" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = s/(s+1)(s+10);" "6#/-%\"HG6#%\"sG*&F'\"\"\"-,&F' F)F)F)6#,&F'F)\"#5F)!\"\"" }}{PARA 15 "" 0 "" {XPPEDIT 18 0 "H(s) = s* (s+100)/(s+1)(s+1000);" "6#/-%\"HG6#%\"sG*&*&F'\"\"\",&F'F*\"$+\"F*F*F *-,&F'F*F*F*6#,&F'F*\"%+5F*!\"\"" }}}}{MARK "4 4 0" 0 }{VIEWOPTS 1 1 1 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }