#### IntuitiveAnalog

##### Member level 2

Hi Everyone,

I am designing a multiplier circuit which has to act as a voltage squarer with Vout = (Vin^2)/25. The input waveform is sinusoidal with zero dc level ,100 mV peak to peak voltage and 10 kHz frequency.

I am having problem in adjusting biasing of the circuit .

I will be thankful if anybody can help.

--------------------------

Thanks

I am designing a multiplier circuit which has to act as a voltage squarer with Vout = (Vin^2)/25. The input waveform is sinusoidal with zero dc level ,100 mV peak to peak voltage and 10 kHz frequency.

I am having problem in adjusting biasing of the circuit .

I will be thankful if anybody can help.

--------------------------

Code:

```
***Multiplier***
Vdd 100 0 1.5
*.option scale=1u
.option post
.probe
.tran 0.1u 600u
Vp1 1 0 SIN(0.8V 0.2V 10k 0 0 0)
Vp2 7 0 SIN(0.8V 0.2V 10k 0 0 180)
Vp3 8 0 SIN(0.8V 0.2V 10k 0 0 0)
Vp4 12 0 SIN(0.8V 0.2V 10k 0 0 180)
Vn1 3 0 SIN(1.5V 0.1V 10k 0 0 0)
Vn2 5 0 SIN(1.5V 0.1V 10k 0 0 180)
Vn3 13 0 SIN(1.5V 0.1V 10k 0 0 180)
Vn4 14 0 SIN(1.5V 0.1V 10k 0 0 0)
Mp1 2 1 100 100 pmos W=0.8u L=0.35u
Mp2 6 7 100 100 pmos W=0.8u L=0.35u
Mp3 9 8 100 100 pmos W=0.8u L=0.35u
Mp4 11 12 100 100 pmos W=0.8u L=0.35u
Mn1 4 3 2 0 nmos W=0.8u L=0.35u
Mn2 4 5 6 0 nmos W=0.8u L=0.35u
Mn3 10 13 9 0 nmos W=0.8u L=0.35u
Mn4 10 14 11 0 nmos W=0.8u L=0.35u
M1 2 100 0 0 nmos W=0.8 L=0.35
M2 6 100 0 0 nmos W=0.8u L=0.35u
M3 9 100 0 0 nmos W=0.8u L=0.35u
M4 11 100 0 0 nmos W=0.8u L=0.35u
.MODEL nmos NMOS ( LEVEL = 49
+VERSION = 3.1 TNOM = 27 TOX = 7.7E-9
+XJ = 1E-7 NCH = 2.3579E17 VTH0 = 0.5048265
+K1 = 0.5542796 K2 = 0.0155863 K3 = 2.3475646
+K3B = -3.3142916 W0 = 4.145888E-5 NLX = 1.430868E-7
+DVT0W = 0 DVT1W = 0 DVT2W = 0
+DVT0 = -0.0150839 DVT1 = 1.51022E-3 DVT2 = 0.170688
+U0 = 415.8570638 UA = 5.057324E-11 UB = 1.496793E-18
+UC = 2.986268E-11 VSAT = 1.237033E5 A0 = 0.9098788
+AGS = 0.2120181 B0 = 1.683612E-6 B1 = 5E-6
+KETA = -4.011887E-4 A1 = 0 A2 = 1
+RDSW = 1.156967E3 PRWG = -8.468558E-3 PRWB = -7.678669E-3
+WR = 1 WINT = 5.621821E-8 LINT = 1.606205E-8
+XL = -2E-8 XW = 0 DWG = -6.450939E-9
+DWB = 6.530228E-9 VOFF = -0.1259348 NFACTOR = 0.3344887
+CIT = 0 CDSC = 1.527511E-3 CDSCD = 0
+CDSCB = 0 ETA0 = 1.21138E-3 ETAB = -1.520242E-4
+DSUB = 0.1259886 PCLM = 0.8254768 PDIBLC1 = 0.4211084
+PDIBLC2 = 6.081164E-3 PDIBLCB = -5.865856E-6 DROUT = 0.7022263
+PSCBE1 = 7.238634E9 PSCBE2 = 5E-10 PVAG = 0.6261655
+DELTA = 0.01 MOBMOD = 1 PRT = 0
+UTE = -1.5 KT1 = -0.11 KT1L = 0
+KT2 = 0.022 UA1 = 4.31E-9 UB1 = -7.61E-18
+UC1 = -5.6E-11 AT = 3.3E4 WL = 0
+WLN = 1 WW = -1.22182E-15 WWN = 1.137
+WWL = 0 LL = 0 LLN = 1
+LW = 0 LWN = 1 LWL = 0
+CAPMOD = 2 XPART = 0.4 CGDO = 3.5E-10
+CGSO = 3.5E-10 CGBO = 0 CJ = 8.829973E-4
+PB = 0.7946332 MJ = 0.3539285 CJSW = 2.992362E-10
+PBSW = 0.9890846 MJSW = 0.1871372 PVTH0 = -0.0148617
+PRDSW = -114.7860236 PK2 = -5.151187E-3 WKETA = 5.687313E-3
+LKETA = -0.018518 )
*
.MODEL pmos PMOS ( LEVEL = 49
+VERSION = 3.1 TNOM = 27 TOX = 7.7E-9
+XJ = 1E-7 NCH = 8.52E16 VTH0 = -0.6897992
+K1 = 0.4134289 K2 = -5.342989E-3 K3 = 24.8361788
+K3B = -1.4390847 W0 = 2.467689E-6 NLX = 3.096223E-7
+DVT0W = 0 DVT1W = 0 DVT2W = 0
+DVT0 = 1.3209807 DVT1 = 0.4695965 DVT2 = -8.790762E-4
+U0 = 150.6275733 UA = 2.016943E-10 UB = 1.714919E-18
+UC = -1.36948E-11 VSAT = 9.559222E4 A0 = 0.9871247
+AGS = 0.3541967 B0 = 3.188091E-6 B1 = 5E-6
+KETA = -0.0169877 A1 = 0 A2 = 1
+RDSW = 2.443009E3 PRWG = 0.0260616 PRWB = 0.141561
+WR = 1 WINT = 5.038936E-8 LINT = 1.650588E-9
+XL = -2E-8 XW = 0 DWG = -1.535456E-8
+DWB = 1.256904E-8 VOFF = -0.15 NFACTOR = 1.5460516
+CIT = 0 CDSC = 1.413317E-4 CDSCD = 0
+CDSCB = 0 ETA0 = 0.3751392 ETAB = 2.343374E-3
+DSUB = 0.8877574 PCLM = 5.8638076 PDIBLC1 = 1.05224E-3
+PDIBLC2 = 3.481753E-5 PDIBLCB = 2.37525E-3 DROUT = 0.0277454
+PSCBE1 = 3.013379E10 PSCBE2 = 3.608179E-8 PVAG = 3.9564294
+DELTA = 0.01 MOBMOD = 1 PRT = 0
+UTE = -1.5 KT1 = -0.11 KT1L = 0
+KT2 = 0.022 UA1 = 4.31E-9 UB1 = -7.61E-18
+UC1 = -5.6E-11 AT = 3.3E4 WL = 0
+WLN = 1 WW = -5.22182E-16 WWN = 1.125
+WWL = 0 LL = 0 LLN = 1
+LW = 0 LWN = 1 LWL = 0
+CAPMOD = 2 XPART = 0.4 CGDO = 3.02E-10
+CGSO = 3.02E-10 CGBO = 0 CJ = 1.397645E-3
+PB = 0.99 MJ = 0.5574537 CJSW = 3.665392E-10
+PBSW = 0.99 MJSW = 0.3399328 PVTH0 = 0.0114364
+PRDSW = 52.7951169 PK2 = 9.714153E-4 WKETA = 0.0109418
+LKETA = 7.702974E-3 )
.END
```

Thanks

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