sistemi formulario
TRANSCRIPT
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1. SCALINO ( ) ( ) ⁄
2. RAMPA ( ) ( ) ⁄
3. PARABOLA ( ) ( ) ⁄
4. PARABOLA DI ORDINE n ( ) ( ) ( )⁄
5. IMPULSO ( ) ( ) ( )
6. SENO ( ) ( ) ( ) ⁄
PROPRIETA’ DELLE TRASFORMATE
1. LINEARITA’ { ( ) } { ( ) }
2. SOVRAPOSSIZIONE { ( ) ( ) } { ( ) } { ( ) }
3. DERIVATA { ( )
} { ( )} { ( )}
4. TRASLAZIONE IN S (NELLE FREQUENZE) { ( ) } = ( )
5. TRASLAZIONE NEL TEMPO { ( )} = { ( )}
( ) ( )
( ) frequenza di taglio
[
]
[ ]
RESISTENZA { Vr (t), Ir (t), R }
Vr =R*Ir(t)
Vr (S)= R * Ir(s)
( )
( )
Condesatore { Vc (t), Ic (t), C }
Ic(t) = ( )
[ ( )]
Ic(s)= Cs Vc(s)
( )
( )
L {Ic(t)} = L {CD Vc(t)}
Ic(S) = CL {D Vc(t)}
Ic(S) = Cs Vc(s)
S=
Induttanza { Vl (t), Il (t), L }
( ) [ ( ) ]
( ) (S) ( )
( ) = sL
LA TRASFORMATA DI LAPALCE
{ ( )} ( ) ∫ ( )
* dt
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RC (FILTRO PASSA BASSO)
RC =
Vi(t) = Vr(t) + Vc(t)
= RIr(t) + Vc(t)
= RCD [ Vc(t) ] + Vc (t)
= RCVi(t) + Vc(t)
Vc(t) = Vo(t)
Vi(t)= RC Vo’(t) + Vo(t)
L { Vi(t) } = L { RC Vo’(t) + Vo(t) }
Vi (S) = L { RC Vo’(t) } + L{ Vo(t) }
Vi (S) = RC L { Vo’(t) } + Vo(s)
Vi (S) = RCs Vo(s) + Vo(s)
Vi (S) = Vo(s) [1+RCs] ( )
( )
( )
Scalino
( )
⁄
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)
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)
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{
{ ( )}
( )
Inpulso
( )
( )
{ ( )}
{
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CR (FILTRO PASSA ALTO)
RC =
Vr(t) = Vc(t)
Vi(t) = Vo(t) + Vr(t)
Ic(t) = CD [Vc (t) ]
Ic (S) = CS L { Vc(t) } = CS Vc(S)
Vi (t) = Vc (t) + Vo (t)
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( )
( )
( ) ( )
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)
( ) ( )
( )
Scalino
Vo(S) = F(S) * Vi (S) = (RCs / (1+RCs) * (1/S) =
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LR (FILTRO PASSA BASSO)
L / R =
( ) ( ) ( )
Vr (t) = Vo (t)
( ) ( )
[ ( )] ( )
[ ( )]
( )
( )
( )
( )
( ) ( )
“ ( ) (
)
“
( ) ( )
( )
Scalino
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( )
( )
Inpulso
( )
RL (FILTRO PASSA ALTO)
R / L =
Vo = Vu
Vi (t) = Vu (t) + Vc (t)
“ = Vr (t) + Vo (t)
“ = i (t) R + Vo(t)
Vr = RI
( )
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Scalino
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LC
( ) ( ) Vc(s) = Ic(s) / SC >>> Ic(s) = SC Vc(s)
Vr(s) = RIr (s)
Vi (s) = Vl(s)+Vo(s)
Il (S)= Ic(s)
Vl(s) = sLIc(s) = sL sC Vc(S) = sL sC Vo(S)
“ = S^2 LC Vo(s)
Vi(s) = S^2 LC Vo(s) + Vo(s)
Vi(s) = Vo(s) [ S^2 LC + 1 ] ( )
( )
( )
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Filtro passa banda CR-RC
rad/S