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.   . ( 10 ) 20 . . , , .. ; . , . . , . 2 , . "" . , . , .. - , .., , (rail to rail).

, , ,   .   , . - ( , ). , .     , . - , 400 , . 25 . . , , , . . . , , . , , .

1. c

c . (. 1). (. 2).
. 1.

   c

restart: with(MSpice): Devices:=[O,[TOP,AC1,2]]: Digits:=3:

ESolve(Q,`01-1_OP_TOC_Z/op-PSpiceFiles/SCHEMATIC1/SCHEMATIC1.net`);

   c

AC1

C -

-JVF1U1-Vt1/Rt-Vt1*s*Ct

VINN = Vref

JVF1U1 = I1

{VINN, Vt1}

MSpice v8.35: pspicelib.narod.ru
: {VINP} : [Vref, VF1U1, I1]
V_NET: [VOUT, VINN, Vp1, Vt1]
J_NET: [J1, JVF1U1, JRt, JCt, JFt, JVref]
Zt:=VOUT/I1, print(` ,`);

Zto:=Limit('Zt',s=0)=limit(Zt,s=0), print(` ,`);

  ,

Zt := -Rt/(1+s*Ct*Rt)

   ,

Zto := Limit(Zt,s = 0) = -Rt

, .

Values(DC,RLCVI,[]): Zt:=evalf(Zt); `Zt[f=0]`:=evalf(rhs(Zto)); #VOUT:=evalf(VOUT);

HSF([Zt],f=1..1e10,"3) semi[Zt] );

:
Rt := .10e8,10MEG"
Ct := 1/2/Pi/Ft
Ft := .10e11,10G"
D :  D: Vref:=0
D :  D: I1:=10
E1_U1 := VINP
D :  D: VF1U1:=0
F1_U1 := JVF1U1
E2_U1 := Vt1
 

Zt := -.10e8/(1.+.159e-3*s)

Zt[f=0]` := -.10e8

   c

2.

, .
. 4.

   c

restart: with(MSpice): Devices:=[E,[TOP,AC2,5]]:

ESolve(Q,`OP-1_TOC_NoInvAmp/op-PSpiceFiles/SCHEMATIC1/SCHEMATIC1.net`);

   c

AC2

C -

-Vt1/Rt-Vt1*s*Ct+(VINP-VINN)/Rn

(Vt1-VINN)/R2+(VINP-VINN)/Rn-VINN/R1

{Vt1, VINN}

MSpice v8.35: pspicelib.narod.ru
: {VINP} : [Vinp]
V_NET: [Vp1, Vt1, VOUT, VINN]
J_NET: [JR2, JR1, JRn, JRt, JRo, JCt, JFt, JVinp]
 

.

H:=collect((VOUT/Vinp),s);

H := Rt*(R1+R2)/((R2*R1*Ct*Rt+Rn*R2*Ct*Rt+Rn*R1*Ct*Rt)*s+Rn*R1+R2*R1+Rt*R1+R2*Rn)

.

K:=limit(H,Ct=0);

K := Rt*(R1+R2)/(Rn*R1+R2*R1+Rt*R1+R2*Rn)

Ri ,

K:=limit(K,Ri=0);

K := Rt*(R1+R2)/(Rn*R1+R2*R1+Rt*R1+R2*Rn)

Rz   ,

K:=limit(K,Rt=infinity);

K := (R1+R2)/R1

Values(DC,PRN,[]):

HSF([H],f=1..1e10,"6) semi ");

   c

3.

.   , (. 7) (. 8).
. 7.

   c

restart: with(MSpice): :=[O,[TOP,AC2,8]]:

ESolve(Q,`OP-1_TOC_NoInvAmp_F/op-PSpiceFiles/SCHEMATIC1/SCHEMATIC1.net`);

   c

AC2

C -

-Vt1/Rt-Vt1*s*Ct+(VINP-VINN)/Rn

(Vt1-VINN)*s*CF+(Vt1-VINN)/RF+(VINP-VINN)/Rn-VINN/Rg

{VINN, Vt1}

MSpice v8.35: pspicelib.narod.ru
: {VINP} : [Vinp]
V_NET: [VOUT, VINN, Vp1, Vt1]
J_NET: [JCF, JRF, JRg, JRn, JRt, JRo, JCt, JFt, JVinp]
 

.

H:=collect((VOUT/Vinp),s);

H := Rt*(s*CF*RF*Rg+Rg+RF)/(Rn*s^2*CF*RF*Rg*Ct*Rt+(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg)*s+Rt*Rg+Rn*Rg+RF*Rg+RF*Rn)

PoleZero(H,f);

-------------   ------------

F_Zero[1] = 1/2*I*(Rg+RF)/CF/RF/Rg/Pi

-----------   -----------

F_Pole[1] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg-(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

F_Pole[1] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg-(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

F_Pole[1] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg-(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

F_Pole[2] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg+(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

F_Pole[2] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg+(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

F_Pole[2] = 1/4*I*(Rn*Rg*Ct*Rt+Rt*CF*RF*Rg+Rn*RF*Ct*Rt+RF*Rg*Ct*Rt+CF*RF*Rn*Rg+(-2*Rn*Rg^2*Ct*Rt^2*CF*RF+2*Rn^2*Rg*Ct^2*Rt^2*RF+2*Rn*Rg^2*Ct^2*Rt^2*RF-2*Rn^2*Rg^2*Ct*Rt*CF*RF+2*Rt^2*CF*RF^2*Rg*Rn*Ct+2*...

Ct , Rt   .

Ct Rt

H_ideal:=limit(subs(Ct=0,H),Rt=infinity);

H_ideal := (s*CF*RF*Rg+Rg+RF)/Rg/(s*CF*RF+1)

.

K:=limit(H,s=0);

K := Rt*(Rg+RF)/(Rt*Rg+Rn*Rg+RF*Rg+Rn*RF)

Rt , ,

K_ideal:=limit(K,Rt=infinity);

K_ideal := (Rg+RF)/Rg

Values(DC,RLVCI,[]):

:
CF := .1000e-8,1000p"
RF := .1e4,1K"
Rg := .1e4,1K"
Rn := 25,25"
Rt := .10e8,10MEG"
Ro := 75,75"
Ct := 1/2/Pi/Ft
Ft := .10e11,10G"
D :  D: Vinp:=0
E1_U1 := VINP
H1_U1 := (Vp1-VINN)/Rn
E2_U1 := Vt1
HSF([H,H_ideal],f=1..1e7,"9) semi[H,H_ideal] ");

   c

4. 1

1 .

, .

(. 11) ,

.
. 10.

   c

restart: with(MSpice): Devices:=[O,[TOP,AC4,11]]:

ESolve(Q,`04-1_TOC_Filter/op-PSpiceFiles/SCHEMATIC1/SCHEMATIC1.net`);

   c

AC4

C -

(VOUT-V4)/RF+(V2-V4)/Rn-V4/Rg

-VOUT/Ro-Vt1/Ro-VOUT*s*Co-(VOUT-V4)/RF-(VOUT-V1)/R3

-V2/R2-V2/Rd-V2*s*Cd-(V2-V1)*s*C2

(V2-V1)*s*C2+(VOUT-V1)/R3-(V1-Vinp)/R1-V1*s*C1

-Vt1/Rt-(V2-V4)/Rn-Vt1*s*Ct

{VOUT, V1, V2, V4, Vt1}

MSpice v8.35: pspicelib.narod.ru
: {VINP} : [Vinp]
V_NET: [VOUT, V1, V2, V4, Vp1, Vt1]
J_NET: [JVinp, JRF, JR1, JC2, JRg, JR2, JC1, JRd, JRn, JRt, JRo, JCt, JFt, JCo, JCd, JR3]
 

R1:=Rg: R2:=Rg: R3:=Rg: C1:=C2:

  .

H:=simplify(VOUT/Vinp,'size');

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

H := (s*C2*Rd*(Ro*Ct*Rt*s+Ro+Rt)*Rg^3+(Rd*Ro*Ct*Rt*(C2+Cd)*(Rn+RF)*s^2+(((C2+Cd)*(Rn+RF)*Ro+C2*Rt*RF)*Rd+Ro*Ct*Rt*(Rn+RF))*s+Ro*(Rn+RF))*Rg^2+Ro*(RF*Rn*Rd*(C2+Cd)*s+(Rn+RF)*Rd+RF*Rn)*(Ct*Rt*s+1)*Rg+RF*...

(. 12).

Values(AC,RLCVI,[]): H:=evalf(H,2);

HSF([H],f=1e5..1e7,"12) semi$200 ");

:
R1 := 300,300"
C2 := .750e-9,750p"
RF := .1e4,1K"
R3 := 300,300"
Rg := 300,300"
R2 := 300,300"
C1 := .750e-9,750p"
Rd := .1e7,1MEG"
Rn := 25,25"
Rt := .10e8,10MEG"
Ro := 75,75"
Ct := 1/2/Pi/Ft
Ft := .10e11,10G"
Co := .5e-11,5p"
Cd := .3e-11,3p"
AC :  D: Vinp:=0  AC: Vinp:=1 Pfase(degrees):=0
E1_U1 := V2
H1_U1 := (Vp1-V4)/Rn
H2_U1 := Vt1/Ro
 

H := (.20e5*s*(.12e-1*s+.10e8)+.80e3*s^2+.68e12*s+.19e13+.22e5*(19.*s+.10e10)*(.16e-3*s+1.))/(12.*s*(1.+.38e-3*s)*(.61e-10*s^2+.17*s+.10e8)+.24e-13*s^4+.26e-3*s^3+.18e5*s^2-.6e11*s+.18e19+.30e3*(.42e4*...

H := (.20e5*s*(.12e-1*s+.10e8)+.80e3*s^2+.68e12*s+.19e13+.22e5*(19.*s+.10e10)*(.16e-3*s+1.))/(12.*s*(1.+.38e-3*s)*(.61e-10*s^2+.17*s+.10e8)+.24e-13*s^4+.26e-3*s^3+.18e5*s^2-.6e11*s+.18e19+.30e3*(.42e4*...

H := (.20e5*s*(.12e-1*s+.10e8)+.80e3*s^2+.68e12*s+.19e13+.22e5*(19.*s+.10e10)*(.16e-3*s+1.))/(12.*s*(1.+.38e-3*s)*(.61e-10*s^2+.17*s+.10e8)+.24e-13*s^4+.26e-3*s^3+.18e5*s^2-.6e11*s+.18e19+.30e3*(.42e4*...

   c

  1. . . . , 7, 2006 .
  2. . . Maple-9 , , . .: -, 2004.
  3. . . . OrCAD 9.2. . 2001.
  4. . . Micro-Cap 7. -.: -, 2003.
  5. PSPICE.   3, 4, 2003.
  6. . . PSPICE- . ", 2004.
  7. pspice.narod.ru   . . .
  8. . .   . - , 1993.
  9. . PSpice .  , 2002.

: cxem.net

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