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SysElec
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PLL = | |
Passe bas + | |
comparateur phase + | |
VCO + | |
Suiveur | |
Kd = Vc/pi (gain comparateur phase) | |
hz -> rad.s^-1 -> rad | |
*2pi *1/p | |
to = RC | |
Wc = 1/to =2*pi*Fc | |
Filtre passe bas | |
1/(RCp+1) | |
margePhase45 | |
BO + F(p) | |
arg(Hbo(jw)) |
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Oscil Quartz | |
Fo = freq Quartz | |
pas = Fo/M | |
F0*1/M = Fs*1/N | |
F0/M = Fs/N | |
M = F0/pas | |
N = (Fs*M)/F0 | |
to = RC | |
ordre 1 = filtre trop élever 20dB | |
ordre 2 40dB, meilleur | |
"pas" plus petit, fc plus basse, syst | |
plus lent | |
w = 1/to |
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Oscillateur | |
R + R//C//L = passe bande | |
(schema equivalent quartz) | |
AOP + Filtre | |
A & B | |
Critère barkausen | |
A*B = 1 | |
mod(A*B) = 1 | |
arg(A*B) = 0 | |
A & B = deux fonctions/blocs | |
Penser à annuler dénominateur | |
LCj^2w^2+1 = 0 | |
quand | |
w = 1/sqr(LC) | |
puis simplifier | |
Si Ru = R0, critère validé |
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trouver Ws et Wp | |
Wm = 1/sqr(LC) | |
Wp = Wm*sqr((Cm+C0)/C0) | |
Gain = dVs/dVe | |
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Modulation numérique | |
M = 2^n | |
n = nb de bit | |
M = nb de symbole | |
S/N = Signal/Bruit | |
QAM16 = 4 bits 2^4 = 16 | |
Rmax = 2*D | |
(Limite nb baud max théorik) | |
(Nyquist) | |
D = bande passante du support | |
Debitmax = D*log(1+S/N)/log(2) | |
Rmax * nb bit = débit binaire théorique |
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ASK = amplitude | |
D = peut être débit binaire | |
efficacité = n = D/B | |
elevé au carré | |
+ filtre LP | |
+ AOP Seuil | |
FSK = fréquence | |
Utilise VCO | |
LP -> produit signal filtré * modulé | |
-> LP (moyenne) | |
-> AOP Seuil | |
BPSK (Décalage phase) | |
Ex: | |
0 = sin(wt+pi) | |
1 = sin(wt) | |
porteuse cos(wt) | |
démodul: | |
porteuse*signal | |
-> LP (moyenne) | |
-> AOP seuil |
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I = phase ou aps | |
Q = quadrature | |
Ts = temps symbole | |
Fs = 1/Ts | |
Formule : | |
Sm(t) = somme((Ak+jbk) f(t-kT)) | |
Si I only : | |
Sm(t) = somme(Ak*h(t-kT)*sin(w0*t) ) |
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