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V+V-5VV1V+V25VV-0U1V+V+V-V-1V1kHz0°V301kΩR1R21kΩ213172nFC1_bC2_b147nF04ButterworthU3V+V-V41V1kHz0°R31kΩR41kΩC1_c1.05μFC2_c27nFChebyshevV+V-0850674th Order Butterworth Filter4th Order Chebyshev FilterU2V+V-R51kΩR61kΩC3_b416nFC4_b61nFV+V-901011U4V+V-R71kΩR81kΩC3_c752nFC4_c113nFV+V-1201314Butterworth_Mid_PointChebyshev_Mid_Point V V V V
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ID:

ID:
x10
x0.1
Sheet:1
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butterworth
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chebyshev
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low-pass
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active filter
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SPICE
SPICE Netlist

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** 4th Order Low-Pass Sallen-Key Filters **
*
* Multisim Live SPICE netlist
*
*

* --- Circuit Topology ---

* Component: C1_b
cC1_b 4 2 1.72e-7

* Component: C1_c
cC1_c 7 6 0.00000105

* Component: C2_b
cC2_b 1 0 1.47e-7

* Component: C2_c
cC2_c 5 0 2.7e-8

* Component: C3_b
cC3_b 11 10 4.16e-7

* Component: C3_c
cC3_c 14 13 7.52e-7

* Component: C4_b
cC4_b 9 0 6.1e-8

* Component: C4_c
cC4_c 12 0 1.13e-7

* Component: R1
rR1 3 2 1000 VIRTUAL_RESISTANCE_R1

* Component: R2
rR2 2 1 1000 VIRTUAL_RESISTANCE_R2

* Component: R3
rR3 8 6 1000 VIRTUAL_RESISTANCE_R3

* Component: R4
rR4 6 5 1000 VIRTUAL_RESISTANCE_R4

* Component: R5
rR5 4 10 1000 VIRTUAL_RESISTANCE_R5

* Component: R6
rR6 10 9 1000 VIRTUAL_RESISTANCE_R6

* Component: R7
rR7 7 13 1000 VIRTUAL_RESISTANCE_R7

* Component: R8
rR8 13 12 1000 VIRTUAL_RESISTANCE_R8

* Component: U1
xU1 1 4 V+ V- 4 5T_VIRTUAL_U1 PARAMS: VOS=0.001 IBS=8e-8 IOS=2e-8 AVOL=200000 BW=100000000 SR=1000000 CMRR=100 ISC=0.025 RI=10000000 RO=10

* Component: U2
xU2 9 11 V+ V- 11 5T_VIRTUAL_U2 PARAMS: VOS=0.001 IBS=8e-8 IOS=2e-8 AVOL=200000 BW=100000000 SR=1000000 CMRR=100 ISC=0.025 RI=10000000 RO=10

* Component: U3
xU3 5 7 V+ V- 7 5T_VIRTUAL_U3 PARAMS: VOS=0.001 IBS=8e-8 IOS=2e-8 AVOL=200000 BW=100000000 SR=1000000 CMRR=100 ISC=0.025 RI=10000000 RO=10

* Component: U4
xU4 12 14 V+ V- 14 5T_VIRTUAL_U4 PARAMS: VOS=0.001 IBS=8e-8 IOS=2e-8 AVOL=200000 BW=100000000 SR=1000000 CMRR=100 ISC=0.025 RI=10000000 RO=10

* Component: V1
vV1 V+ 0 dc 5 ac 0 0
+ distof1 0 0
+ distof2 0 0

* Component: V2
vV2 0 V- dc 5 ac 0 0
+ distof1 0 0
+ distof2 0 0

* Component: V3
vV3 3 0 dc 0 ac 1 0
+ distof1 0 0
+ distof2 0 0
+ sin ( 0 1 1000 0 0 0 )

* Component: V4
vV4 8 0 dc 0 ac 1 0
+ distof1 0 0
+ distof2 0 0
+ sin ( 0 1 1000 0 0 0 )


* --- Circuit Models ---

* R1 model
.model VIRTUAL_RESISTANCE_R1 r( )

* R2 model
.model VIRTUAL_RESISTANCE_R2 r( )

* R3 model
.model VIRTUAL_RESISTANCE_R3 r( )

* R4 model
.model VIRTUAL_RESISTANCE_R4 r( )

* R5 model
.model VIRTUAL_RESISTANCE_R5 r( )

* R6 model
.model VIRTUAL_RESISTANCE_R6 r( )

* R7 model
.model VIRTUAL_RESISTANCE_R7 r( )

* R8 model
.model VIRTUAL_RESISTANCE_R8 r( )


* --- Subcircuits ---

* U1 subcircuit
.subckt 5T_VIRTUAL_U1 In_p In_n Vpos Vneg Out params: AVOL=200k BW=20Meg CMRR=100
+SR=1Meg RO=75 ISC=25m RI=100meg VOS=0.1m IBS=1n IOS=1p
.param Rp1=1e6
.param Rs1=1e6
.param K_Is2a=sqrt(AVOL)/Rs1
.param K_Is2b=sqrt(AVOL)/Rp1
.param Cp1={AVOL/(2*pi*BW*Rp1)}
.param CMRR_lin=10**(CMRR/20)


Rin In_p In_n {RI}
Bcm 4 3 V = { V(cm)/CMRR_lin}
Voff In_p 4 {VOS}
Ibias1 In_p 0 {IBS}
Ibias2 In_n 0 {IBS}
Ioffset In_p In_n {IOS/2}

Rcm1 In_p cm 10meg
Rcm2 In_n cm 10meg

BIs1a vref vs2a I = { K_Is2a*(V(3)-V(In_n)) }
Rs1 vs2a vref {Rs1}

BIs2b vref vs2b I = { K_Is2b*(V(vs2a)-v(vref)) }
Rp1 vs2b vref {Rp1}
VCp1sense vs2b vs2b_ 0
Cp1 vs2b_ vref {Cp1}


D3 vs2b_ 8 Limit_Diode
D4 8 vpos Limit_Diode
B_SRp 8 vpos I={I(VCp1sense)- (Cp1*SR)}

D5 10 vs2b_ Limit_Diode
D6 Vneg 10 Limit_Diode
B_SRn Vneg 10 I={-1*I(VCp1sense)-(Cp1*SR)}

DVpclip vs2b_ Vpos V_limit
DVnclip Vneg vs2b_ V_limit

Bout vref out_ I={(V(vs2b)-v(vref))/RO}
Rout vref out_ {RO}
Voutsense out_ out 0

D9 out 15 Limit_Diode
D10 15 vpos Limit_Diode
B_outp 15 vpos I={I(Voutsense)- ISC}

D11 16 out Limit_Diode
D12 vneg 16 Limit_Diode
B_outn vneg 16 I={-1*I(Voutsense)-ISC}

R5 Vpos mid 1000000
R6 mid Vneg 1000000
Eref vref 0 mid 0 1

.MODEL Limit_Diode D (IS= 1.0e-12)
.MODEL V_limit D(n=0.1)
.ends

* U2 subcircuit
.subckt 5T_VIRTUAL_U2 In_p In_n Vpos Vneg Out params: AVOL=200k BW=20Meg CMRR=100
+SR=1Meg RO=75 ISC=25m RI=100meg VOS=0.1m IBS=1n IOS=1p
.param Rp1=1e6
.param Rs1=1e6
.param K_Is2a=sqrt(AVOL)/Rs1
.param K_Is2b=sqrt(AVOL)/Rp1
.param Cp1={AVOL/(2*pi*BW*Rp1)}
.param CMRR_lin=10**(CMRR/20)


Rin In_p In_n {RI}
Bcm 4 3 V = { V(cm)/CMRR_lin}
Voff In_p 4 {VOS}
Ibias1 In_p 0 {IBS}
Ibias2 In_n 0 {IBS}
Ioffset In_p In_n {IOS/2}

Rcm1 In_p cm 10meg
Rcm2 In_n cm 10meg

BIs1a vref vs2a I = { K_Is2a*(V(3)-V(In_n)) }
Rs1 vs2a vref {Rs1}

BIs2b vref vs2b I = { K_Is2b*(V(vs2a)-v(vref)) }
Rp1 vs2b vref {Rp1}
VCp1sense vs2b vs2b_ 0
Cp1 vs2b_ vref {Cp1}


D3 vs2b_ 8 Limit_Diode
D4 8 vpos Limit_Diode
B_SRp 8 vpos I={I(VCp1sense)- (Cp1*SR)}

D5 10 vs2b_ Limit_Diode
D6 Vneg 10 Limit_Diode
B_SRn Vneg 10 I={-1*I(VCp1sense)-(Cp1*SR)}

DVpclip vs2b_ Vpos V_limit
DVnclip Vneg vs2b_ V_limit

Bout vref out_ I={(V(vs2b)-v(vref))/RO}
Rout vref out_ {RO}
Voutsense out_ out 0

D9 out 15 Limit_Diode
D10 15 vpos Limit_Diode
B_outp 15 vpos I={I(Voutsense)- ISC}

D11 16 out Limit_Diode
D12 vneg 16 Limit_Diode
B_outn vneg 16 I={-1*I(Voutsense)-ISC}

R5 Vpos mid 1000000
R6 mid Vneg 1000000
Eref vref 0 mid 0 1

.MODEL Limit_Diode D (IS= 1.0e-12)
.MODEL V_limit D(n=0.1)
.ends

* U3 subcircuit
.subckt 5T_VIRTUAL_U3 In_p In_n Vpos Vneg Out params: AVOL=200k BW=20Meg CMRR=100
+SR=1Meg RO=75 ISC=25m RI=100meg VOS=0.1m IBS=1n IOS=1p
.param Rp1=1e6
.param Rs1=1e6
.param K_Is2a=sqrt(AVOL)/Rs1
.param K_Is2b=sqrt(AVOL)/Rp1
.param Cp1={AVOL/(2*pi*BW*Rp1)}
.param CMRR_lin=10**(CMRR/20)


Rin In_p In_n {RI}
Bcm 4 3 V = { V(cm)/CMRR_lin}
Voff In_p 4 {VOS}
Ibias1 In_p 0 {IBS}
Ibias2 In_n 0 {IBS}
Ioffset In_p In_n {IOS/2}

Rcm1 In_p cm 10meg
Rcm2 In_n cm 10meg

BIs1a vref vs2a I = { K_Is2a*(V(3)-V(In_n)) }
Rs1 vs2a vref {Rs1}

BIs2b vref vs2b I = { K_Is2b*(V(vs2a)-v(vref)) }
Rp1 vs2b vref {Rp1}
VCp1sense vs2b vs2b_ 0
Cp1 vs2b_ vref {Cp1}


D3 vs2b_ 8 Limit_Diode
D4 8 vpos Limit_Diode
B_SRp 8 vpos I={I(VCp1sense)- (Cp1*SR)}

D5 10 vs2b_ Limit_Diode
D6 Vneg 10 Limit_Diode
B_SRn Vneg 10 I={-1*I(VCp1sense)-(Cp1*SR)}

DVpclip vs2b_ Vpos V_limit
DVnclip Vneg vs2b_ V_limit

Bout vref out_ I={(V(vs2b)-v(vref))/RO}
Rout vref out_ {RO}
Voutsense out_ out 0

D9 out 15 Limit_Diode
D10 15 vpos Limit_Diode
B_outp 15 vpos I={I(Voutsense)- ISC}

D11 16 out Limit_Diode
D12 vneg 16 Limit_Diode
B_outn vneg 16 I={-1*I(Voutsense)-ISC}

R5 Vpos mid 1000000
R6 mid Vneg 1000000
Eref vref 0 mid 0 1

.MODEL Limit_Diode D (IS= 1.0e-12)
.MODEL V_limit D(n=0.1)
.ends

* U4 subcircuit
.subckt 5T_VIRTUAL_U4 In_p In_n Vpos Vneg Out params: AVOL=200k BW=20Meg CMRR=100
+SR=1Meg RO=75 ISC=25m RI=100meg VOS=0.1m IBS=1n IOS=1p
.param Rp1=1e6
.param Rs1=1e6
.param K_Is2a=sqrt(AVOL)/Rs1
.param K_Is2b=sqrt(AVOL)/Rp1
.param Cp1={AVOL/(2*pi*BW*Rp1)}
.param CMRR_lin=10**(CMRR/20)


Rin In_p In_n {RI}
Bcm 4 3 V = { V(cm)/CMRR_lin}
Voff In_p 4 {VOS}
Ibias1 In_p 0 {IBS}
Ibias2 In_n 0 {IBS}
Ioffset In_p In_n {IOS/2}

Rcm1 In_p cm 10meg
Rcm2 In_n cm 10meg

BIs1a vref vs2a I = { K_Is2a*(V(3)-V(In_n)) }
Rs1 vs2a vref {Rs1}

BIs2b vref vs2b I = { K_Is2b*(V(vs2a)-v(vref)) }
Rp1 vs2b vref {Rp1}
VCp1sense vs2b vs2b_ 0
Cp1 vs2b_ vref {Cp1}


D3 vs2b_ 8 Limit_Diode
D4 8 vpos Limit_Diode
B_SRp 8 vpos I={I(VCp1sense)- (Cp1*SR)}

D5 10 vs2b_ Limit_Diode
D6 Vneg 10 Limit_Diode
B_SRn Vneg 10 I={-1*I(VCp1sense)-(Cp1*SR)}

DVpclip vs2b_ Vpos V_limit
DVnclip Vneg vs2b_ V_limit

Bout vref out_ I={(V(vs2b)-v(vref))/RO}
Rout vref out_ {RO}
Voutsense out_ out 0

D9 out 15 Limit_Diode
D10 15 vpos Limit_Diode
B_outp 15 vpos I={I(Voutsense)- ISC}

D11 16 out Limit_Diode
D12 vneg 16 Limit_Diode
B_outn vneg 16 I={-1*I(Voutsense)-ISC}

R5 Vpos mid 1000000
R6 mid Vneg 1000000
Eref vref 0 mid 0 1

.MODEL Limit_Diode D (IS= 1.0e-12)
.MODEL V_limit D(n=0.1)
.ends
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4th Order Low-Pass Sallen-Key Filters
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