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{SECT 0 {PARA 18 "" 0 "" {TEXT -1 39 "Reprezentarea fazoriala a semnal
elor MF" }}{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" "" }{TEXT -1 0 "" }}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "Breviar teoretic" }}{PARA 0 "" 0 
"" {TEXT 256 16 "Scopul lucrarii:" }}{PARA 0 "" 0 "" {TEXT -1 88 "Repr
ezentarea sub forma fazoriala. Comparatie intre semnalul MF/MP si semn
alul purtator." }}{PARA 0 "" 0 "" {TEXT 257 17 "Rezumat teoretic:" }}
{PARA 0 "" 0 "" {TEXT -1 54 "Se considera semnalul MF cu purtatoare de
 amplitudina " }{XPPEDIT 18 0 "A0;" "6#%#A0G" }{TEXT -1 13 " si pulsat
ie " }{XPPEDIT 18 0 "omega[p];" "6#&%&omegaG6#%\"pG" }{TEXT -1 39 " mo
dulat cu semnal armonic de pulsatie " }{XPPEDIT 18 0 "omega[m];" "6#&%
&omegaG6#%\"mG" }{TEXT -1 27 " avind indice de modulatie " }{XPPEDIT 
18 0 "beta;" "6#%%betaG" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 
"sMF:=(t)->A0*cos(omega[p]*t+beta*sin(omega[m]*t));" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%$sMFGR6#%\"tG6\"6$%)operatorG%&arrowGF(*&%#A0G\"\"
\"-%$cosG6#,&*&&%&omegaG6#%\"pGF.9$F.F.*&%%betaGF.-%$sinG6#*&&F56#%\"m
GF.F8F.F.F.F.F(F(F(" }}}{PARA 0 "" 0 "" {TEXT -1 280 "Consideram in re
prezentarea fazoriala componentele spectrale si deducem fazorul rezult
ant ca o sumare vectoriala. Din spectrul semnalului consideram importa
nte numai doua linii spectrale laterale iar restul le neglijam. Aproxi
marea este valabila in cazul unui indice de modulatie " }{XPPEDIT 18 
0 "beta < .4;" "6#2%%betaG$\"\"%!\"\"" }{TEXT -1 135 ". Pentru indici \+
de modulatie mai mari,  in spectru se retin mai multe linii spectrale \+
si compunerea fazoriala se modificacorespunzator." }}{PARA 0 "" 0 "" 
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YxI:;Z::::::::::::::::::::yay=J:B::::::::6:" }{TEXT -1 0 "" }}}{SECT 
0 {PARA 3 "" 0 "" {TEXT -1 92 "Modulatie in frecventa/faza = modificar
ea frecventei/fazei instantanee a semnalului purtator" }}{PARA 0 "" 0 
"" {TEXT -1 148 "Reprezentarea se face 3D in coordonate \{t, Re, Im\} \+
dar pentru a urmari reprezentarea fazoriala intereseaza doar \{Re, Im
\} si nu intereseaza axa timp." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "sRE:=(t)->
A0*cos(omegaP*t+beta*sin(omegaM*t)): sIM:=(t)->A0*sin(omegaP*t+beta*si
n(omegaM*t)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 201 "CURVES_MF
:=CURVES( op(op(plots[spacecurve]( eval([t,sRE(t),sIM(t)],[A0=1,omegaP
=2*Pi*1000,omegaM=2*Pi*1000,beta=1]), t=0..0.2,numpoints=4000))), COLO
R(RGB,0.5,0.5,0.5),LINESTYLE(1)): PLOT3D(CURVES_MF):" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 179 "FAZOR_MF:=CURVES(evalf(eval([[t,sRE(t),s
IM(t)],[t,0,0]],[A0=1,omegaP=2*Pi*1000,omegaM=2*Pi*1000,beta=1])),LINE
STYLE(1),THICKNESS(2),COLOR(RGB,0,0,1)):PLOT3D(eval(FAZOR_MF,t = 2)):
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 157 "FAZOR_REF:=CURVES(eval
f(eval([[t,0.25*A0*cos(omegaP*t),0.25*A0*sin(omegaP*t)],[t,0,0]],[A0=1
,omegaP=2*Pi*1000])),LINESTYLE(1),THICKNESS(2),COLOR(RGB,0,1,0)):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "tstep:=0.00001:N:=200:tes:=[
seq(n*tstep,n=0..N)]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 215 "I
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=tes[i]), CURVES_MF],i=1..nops(tes))) ,AXESSTYLE(NORMAL),SCALING(UNCON
STRAINED),TITLE(cat(\"Reprezentarea fazoriala pentru sMF(t) cu beta=10
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"" {TEXT -1 262 "Pentru a intelege esenta modulatiei de frecventa (mod
ificarea frecventei instantanee a  purtatoarei conform unui semnal mod
ulator) s-a considerat o frecventa a semnalului modulator de 10 ori ma
i mare decit frecventa semnalului purtator si un indice de modulatie \+
" }{XPPEDIT 18 0 "beta = 1;" "6#/%%betaG\"\"\"" }{TEXT -1 134 ". Intre
 cei doi fazori, cel corespunzator semnalului purtator si cel corespun
zator semnalui modulat apare un defezaj variabil in timp." }}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 58 "Reprezentarea fazoriala pentru indice de \+
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