rsffiltre.py

Created on June 02, 2022

748 Bytes

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RSF
u(t)=Umcos(wt+phi)
delta(phi)=phi2-phi1=> déphasag

en complexe
_u(t)=Ume^j(wt+phi) et u(t)=Re(_u)
_u=_Ume^jwt avec _Um=Ume^jphi
Um=|_Um|
phi=arg(_Um)
dériver:*jw  intégrer:*1/jw

impédence _Z=_u/_i
admitance _Y=1/_Z
bobine _ZL=jLw
w->0 bob BF fil
w->infini bob HF intrupt ouvert

cond _Zc=1/jCw
w->0 cond BF int ouv
w->infini cond HF fil

en tension si Q>=1/racine(2) =>résonance
en intensité Q=w0/w2-w1=w0/delta(w)

FILTRAGE
_H(jw)=_Us/_Ue
G(w)=|_H(jw)|=Us/Ue  (G>1amplifica°

G(wc)=Gmax/rac(2)
Filtre-pass-bas:atténu signx>G(wc)
"pass-haut:     "           <
"bandelaiss passer qu'1bande entre wc1 etwc2
idéal si G cst ou G=0
GdB=20logG(w)=20log|_H(jw)|
Q=w0/delta(w)
GdB(wc)=GdBmax -3

F=W/2π

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rsffiltre.py