{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 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 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 "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Helvetic a" 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 "Title" -1 18 1 {CSTYLE "" -1 -1 "Helvetica" 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 }} {SECT 0 {PARA 18 "" 0 "" {TEXT -1 39 "Reprezentarea fazoriala a semnal elor MA" }}{PARA 19 "" 0 "" {TEXT -1 86 "Universitatea Tehnica \"Gh. A sachi\", Iasi, Facultatea de Electronica si Telecomunicatii" }}{PARA 19 "" 0 "" {TEXT -1 43 "Laboratorul de Semnale, Circuite si Sisteme" } }{PARA 19 "" 0 "" {URLLINK 17 "http://scs4.etc.tuiasi.ro" 4 "http://sc s4.etc.tuiasi.ro/scslabs/Simbolice/simbolice.htm" "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "Breviar teoretic" }}{PARA 0 "" 0 "" {TEXT 256 16 "Scopul lucrarii:" }}{PARA 0 "" 0 "" {TEXT -1 85 "Reprezentarea sub forma fazoriala. Comparatie intre semnalul MA si semnalul purtator." }}{PARA 0 "" 0 "" {TEXT 257 17 "Rezumat teoretic:" }}{PARA 0 "" 0 "" {TEXT -1 54 "Se considera semnalul MA cu purtatoare de amplitudina " } {XPPEDIT 18 0 "A0;" "6#%#A0G" }{TEXT -1 13 " si pulsatie " }{XPPEDIT 18 0 "omega[p];" "6#&%&omegaG6#%\"pG" }{TEXT -1 39 " modulat cu semnal armonic de pulsatie " }{XPPEDIT 18 0 "omega[m];" "6#&%&omegaG6#%\"mG " }{TEXT -1 27 " avind indice de modulatie " }{XPPEDIT 18 0 "m;" "6#% \"mG" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "resta rt;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "sMA:=(t)->A0(1+mMA*c os(omega[m]*t))*cos(omega[p]*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% $sMAGR6#%\"tG6\"6$%)operatorG%&arrowGF(*&-%#A0G6#,&\"\"\"F1*&%$mMAGF1- %$cosG6#*&&%&omegaG6#%\"mGF19$F1F1F1F1-F56#*&&F96#%\"pGF1F:B>N::wyyyyyB:jyyyyyI::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::uyyyyyS:g:G;E:G:I:K:M:e;Q:e:E;W:YJ:><N;V>^>^?^@v>>?F?N?V?^:f?n?v?>`:B:wA_; a;g;];i;k;wAwAyA::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt> ^:fBWMtNHm=;:::::::n:;`:Z@[::JjdoPQNrAj`Aj;J:t;<:=ja^ GE=;:::::::::N;?R:yyyyyy:>:<::::::JDJ:jR^D=Mk^GJ:::::::::n;?R:ryA:yayA :<::::::A:Cv=HYLkNG>::::::::Nj>J?>:Q:S:UJ:n;;jAJBB:]:_J:V<^:E;G;I;K;M;O;Q;S;U;W;Y;[[:F@;JSjSJTjTJUjUJVjVJWjWJXjXJY>: E=wA=:G:wAwA_:A=C=wAG=I=wAwAO=JykpJq>:YM:nYnYNH:wAe=g=i=wAyA::::j:b:B:::[hh=dIsr nIuIQTZ=riYoc`p_xxZt]bVeyVxgApxxOaLdTrZtM?uSkxMktjMxu:nyyYZDjysyGR<;B:itUn_>w g]gHbEkKtaMSAA<::crI?Y^esiY?KEg;dIwYewhISVI]uicjAN;=jnv;A:;:>A;BJ]yy?J V^;GJavG_mpFFSM:N:>=AdLkji\\n:LjjdNFfgBG[>VhBG[>^hBG[>>:<:::skZ>[ljNH=mmNH>HKMJnb:vGWMt>:;::jHJWjeH:;:vYxY@ L:<:=:;:vYxy@L:<:=:;:vYxYAL:<:yayA:<:::jHJWjeJgJ::=:;B>?Z:>ZJvyyA: :;:j:F:;J::::::::::=Z<>;;B:;::NHEmnv :U=WMlNHJ:>::::=Jy;yqyyy;tV;J:>r:B:bKg:UTRcETcTX[US;SGWCF;SK]UW=EWMuUW M@B::P`?oBYJ:fbk;n_>WdG_dnBwm;;B:;:Zon?:B:B:U<>:AJ]v;fB:W;:J::BZo^:>:: Z:D;:;J@NLxXCfZ;R;;BKaTMP]:V\\QGghGbf_gZ K^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j :@j:V:=JfB=Z<>[:B:;::V::B;::<:F :>Z:r:CB:r:B:bKj`:[USP]j>^?;x`:Z::RSP>j\\:n?BG:>::PM Q:Z:Z:fCJ:B:GZ]s<[IC^=NZ:^Lma:>_iQ<;J:^;_^i Q:<[=SJvk? 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e`fl$!+i!Qqy'F]s7%FeddmF,F,F2F6F:-F(6&7$7%FeddmF^afl$!+?Iwp:F]sFiddmF2 F6FEFG7%-F(6&7$7%$\"$+#Fd`flFK$\"+^(4\\?'F`\\am7%FeedmF,F,F2F6F:-F(6&7 $7%FeedmFB$\"+in?59F`\\amFiedmF2F6FEFG-%*AXESSTYLEG6#%'NORMALG-%(SCALI NGG6#%.UNCONSTRAINEDG-%&TITLEG6#QMModificarea~amplitudinii~semnalului~ purtator6\"" 1 2 0 1 10 0 2 1 1 4 1 1.000000 91.000000 0.000000 0 0 "C urve 1" "Curve 2" "Curve 3" }}}}{PARA 0 "" 0 "" {TEXT -1 470 "Pentru a intelege esenta modulatiei de amplitudine (modificarea amplitudinii p urtatoarei conform unui semnal modulator) s-a considerat o frecventa a semnalului modulator de 10 ori mai mare decit frecventa semnalului pu rtator. Cei doi fazori, cel corespunzator semnalului purtator si cel c orespunzator semnalui sunt in nedefazati deoarece cele doua semnale au pulsatia instantanee egala si constanta. Se observa modificarea ampli tudinii fazorului in timpul unei perioade." }}}{SECT 0 {PARA 3 "" 0 " " {TEXT -1 56 "Reprezentarea fazoriala pentru indice de modulatie m=0. 5" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 100 "sRE:=(t)->A0*(1+mMA*cos(omegaM*t)) *cos(omegaP*t): sIM:=(t)->A0*(1+mMA*cos(omegaM*t))*sin(omegaP*t): " }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 199 "CURVES_MA:=CURVES( op(op(p lots[spacecurve]( eval([t,sRE(t),sIM(t)],[A0=1,omegaP=2*Pi*100,omegaM= 2*Pi*10,mMA=0.5]), t=0..0.2,numpoints=1000))), COLOR(RGB,0.5,0.5,0.5), LINESTYLE(1)): PLOT3D(CURVES_MA):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 177 "FAZOR_MA:=CURVES(evalf(eval([[t,sRE(t),sIM(t)],[t,0, 0]],[A0=1,omegaP=2*Pi*100,omegaM=2*Pi*10,mMA=0.5])),LINESTYLE(1),THICK NESS(2),COLOR(RGB,0,0,1)):PLOT3D(eval(FAZOR_MA,t = 2)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 156 "FAZOR_REF:=CURVES(evalf(eval([[t,0 .25*A0*cos(omegaP*t),0.25*A0*sin(omegaP*t)],[t,0,0]],[A0=1,omegaP=2*Pi *100])),LINESTYLE(1),THICKNESS(2),COLOR(RGB,0,1,0)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "tstep:=0.001:N:=200:tes:=[seq(n*tstep,n=0 ..N)]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 213 "INTERFACE_PLOT3D (ANIMATE(seq([eval(FAZOR_MA,t=tes[i]), eval(FAZOR_REF,t=tes[i]), CURVE S_MA],i=1..nops(tes))) ,AXESSTYLE(NORMAL),SCALING(UNCONSTRAINED),TITLE (cat(\"Reprezentarea fazoriala pentru sMA(t) cu m=0.5\"))):" }}}{PARA 0 "" 0 "" {TEXT -1 102 "S-a reprezentat sub forma fazoriala semnalul M A (albastru) si drept referinta un fazor de de pulsatie " }{XPPEDIT 18 0 "omega[p];" "6#&%&omegaG6#%\"pG" }{TEXT -1 9 " (verde)." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 213 "INTERFACE_PLOT3D(ANIMATE(se q([eval(FAZOR_MA,t=tes[i]), eval(FAZOR_REF,t=tes[i]), CURVES_MA],i=1.. nops(tes))) ,AXESSTYLE(NORMAL),SCALING(UNCONSTRAINED),TITLE(cat(\"Repr ezentarea fazoriala pentru sMA(t) cu m=0.5\")));" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6&-%(ANIMATEG6ew7%-%'CURVESG6&7$7%$ \"\"!F-$\"#:!\"\"F,7%F,F,F,-%*LINESTYLEG6#\"\"\"-%*THICKNESSG6#\"\"#-% &COLORG6&%$RGBGF-F-F5-F(6&7$7%F,$\"#D!\"#F,F1F2F6-F;6&F=F-F5F--F(6%7di n7%F,$\"+++++:!\"*F,7%$\"+-?+-?!#8$\"+Z\"4\")[\"FM$\"+D3#=)=!#57%$\"+/ S+/SFQ$\"+2wi_9FM$\"+]%4Ot$FV7%$\"+1g+1gFQ$\"+C`7%R\"FM$\"+T#>e_&FV7%$ \"+3!3!3!)FQ$\"+&*=a88FM$\"+Yn')HsFV7%$\"+,5+,5!#7$\"+&Gr@@\"FM$\"+PNf =))FV7%$\"+,7?,7Fio$\"+x2k\"4\"FM$\"+t/nE5FM7%$\"+,9S,9Fio$\"+8^%)Q&*F V$\"+)p<^:\"FM7%$\"+,;g,;Fio$\"+y/76!)FV$\"+OH;l7FM7%$\"+,=!=!=Fio$\"+ ?YsdjFV$\"+&4l]N\"FM7%$\"+,?+-?Fio$\"+nd90YFV$\"+'*zSB9FM7%$\"+,A?-AFi o$\"+[(R9y#FV$\"+nH7p9FM7%$\"+,CS-CFio$\"+*H]x:*!#6$\"+td]\"\\\"FM7%$ \"+,Eg-EFio$!+U')R?'*F]s$\"+(fF-\\\"FM7%$\"+,G!G!GFio$!+3)Q?#GFV$\"+)* )R`Y\"FM7%$\"+,I+.IFio$!+%[#eMYFV$\"+#4tsT\"FM7%$\"+,K?.KFio$!+Ko$3P'F V$\"+`!HoM\"FM7%$\"+,MS.MFio$!+$pPK+)FV$\"+.w;b7FM7%$\"+,Og.OFio$!+%4M f]*FV$\"+#>(yV6FM7%$\"+,Q!Q!QFio$!+$H?b3\"FM$\"+.,]95FM7%$\"+,S+/SFio$ !+IG)H?\"FM$\"+%4ESp)FV7%$\"+,U?/UFio$!+UR9,8FM$\"+ibS3rFV7%$\"+,WS/WF io$!+b,[y8FM$\"+M'4PT&FV7%$\"+,Yg/YFio$!+Qb!QV\"FM$\"+6F?POFV7%$\"+,[! 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