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A simple crystal oscillator circuit from [High-performance crystal oscillator circuits: theory and application](https://ieeexplore.ieee.org/abstract/document/318)
Raw
ck_osc.asc
Version 4
SHEET 1 5612 1000
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FLAG 352 -160 Q1
FLAG 960 32 Q2
FLAG 1376 -304 Q1
FLAG 2880 224 Vr
FLAG 4912 -288 Q1
FLAG 3712 688 0
FLAG 5456 592 0
FLAG 5568 -368 V1
FLAG 5568 224 VN
FLAG 5456 368 V1
FLAG 1584 240 g_a
FLAG 1344 384 g_b
FLAG 640 -160 M1_gate
FLAG 1776 32 M39_S
FLAG 2192 32 M39_D
FLAG 1520 -128 M3_g
FLAG 4368 96 M12_g
FLAG 5120 96 M14_g
FLAG 5408 -48 M13_d
FLAG 2864 -16 M22_d
FLAG 3808 400 M32_g
FLAG 3232 -80 M24_d
FLAG 3584 96 M35_s
FLAG 2864 96 0
FLAG 4576 64 0
FLAG 5328 64 0
FLAG 80 144 V1
FLAG 1072 144 V1
FLAG 1616 -16 V1
FLAG 2080 -16 V1
FLAG 2480 64 V1
FLAG 3648 256 V1
FLAG 3536 256 V1
FLAG 4752 -96 V1
FLAG 624 -16 V1
FLAG 848 832 Q1
FLAG 1664 832 Q2
SYMBOL pmos4 224 -16 R180
WINDOW 123 131 32 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M15
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 224 192 R180
WINDOW 123 67 -6 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M19
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 224 432 M0
WINDOW 3 58 29 Left 2
WINDOW 123 131 71 Left 2
WINDOW 0 -21 115 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M10
SYMATTR Prefix X
SYMBOL cap 368 -288 M0
SYMATTR InstName C1
SYMATTR Value 10p
SYMBOL cap 416 -144 R270
WINDOW 0 32 32 VTop 2
WINDOW 3 0 32 VBottom 2
SYMATTR InstName C6
SYMATTR Value 10p
SYMBOL pmos4 576 80 R270
WINDOW 123 22 -182 VRight 2
WINDOW 0 -19 -29 VRight 2
WINDOW 3 -15 41 VRight 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M17
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 768 -80 M180
WINDOW 123 -183 43 Left 2
SYMATTR Value2 L=0.18u W=3u
SYMATTR InstName M1
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL cap 976 -288 M0
SYMATTR InstName C2
SYMATTR Value 10p
SYMBOL nmos4 864 432 M0
WINDOW 3 58 29 Left 2
WINDOW 123 131 71 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M2
SYMATTR Prefix X
SYMBOL pmos4 1184 0 R180
WINDOW 123 -149 113 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M7
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 1184 192 R180
WINDOW 123 -151 110 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M9
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 1184 432 M0
WINDOW 3 58 29 Left 2
WINDOW 123 -139 112 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M8
SYMATTR Prefix X
SYMBOL pmos4 1664 80 M270
WINDOW 123 20 107 VRight 2
WINDOW 0 -19 -29 VRight 2
WINDOW 3 -15 41 VRight 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M37
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL cap 1392 -256 M0
SYMATTR InstName C7
SYMATTR Value 10p
SYMBOL cap 1456 -256 R0
SYMATTR InstName C11
SYMATTR Value 10p
SYMBOL pmos4 2128 80 M270
WINDOW 123 24 96 VRight 2
WINDOW 0 -19 -29 VRight 2
WINDOW 3 -15 41 VRight 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M39
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 1728 -48 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M3
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL cap 1920 -288 R0
SYMATTR InstName C5
SYMATTR Value 10p
SYMBOL cap 2208 -288 M0
SYMATTR InstName C4
SYMATTR Value 10p
SYMBOL nmos4 1824 432 M0
WINDOW 3 58 29 Left 2
WINDOW 123 -141 114 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M4
SYMATTR Prefix X
SYMBOL res 2432 -192 R180
WINDOW 0 36 76 Left 2
WINDOW 3 36 40 Left 2
SYMATTR InstName R7
SYMATTR Value 10
SYMBOL pmos4 2368 112 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=3u
SYMATTR InstName M5
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 2368 432 R0
WINDOW 3 58 29 Left 2
WINDOW 123 -137 117 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M6
SYMATTR Prefix X
SYMBOL nmos4 2736 304 R0
WINDOW 3 58 29 Left 2
WINDOW 123 -140 117 Left 2
WINDOW 0 -55 49 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M20
SYMATTR Prefix X
SYMBOL nmos4 3216 432 M0
WINDOW 3 58 29 Left 2
WINDOW 123 114 106 Left 2
WINDOW 0 -20 112 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M24
SYMATTR Prefix X
SYMBOL pmos4 2736 -64 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M21
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 2736 48 R0
WINDOW 3 58 29 Left 2
WINDOW 123 -132 111 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M22
SYMATTR Prefix X
SYMBOL cap 2976 -288 M0
SYMATTR InstName C15
SYMATTR Value 10p
SYMBOL pmos4 3424 304 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=80u
SYMATTR InstName M33
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 3216 -128 R180
WINDOW 123 62 21 Left 2
WINDOW 0 64 142 Left 2
SYMATTR Value2 L=0.18u W=10u
SYMATTR InstName M25
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 3424 -128 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=20u
SYMATTR InstName M27
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 3424 432 R0
WINDOW 3 58 29 Left 2
WINDOW 123 -141 -14 Left 2
WINDOW 0 -22 111 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=10u
SYMATTR InstName M26
SYMATTR Prefix X
SYMBOL pmos4 3664 64 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M29
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL pmos4 3760 304 R180
WINDOW 123 -153 117 Left 2
WINDOW 0 55 21 Left 2
SYMATTR Value2 L=0.18u W=80u
SYMATTR InstName M35
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 3888 320 R0
WINDOW 3 57 65 Left 2
WINDOW 123 -150 116 Left 2
WINDOW 0 60 27 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=20u
SYMATTR InstName M32
SYMATTR Prefix X
SYMBOL cap 4256 -288 M0
SYMATTR InstName C16
SYMATTR Value 10p
SYMBOL pmos4 4448 -96 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M11
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 4448 16 R0
WINDOW 3 58 29 Left 2
WINDOW 123 59 105 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M12
SYMATTR Prefix X
SYMBOL pmos4 4800 0 M270
WINDOW 123 -15 59 VLeft 2
WINDOW 0 74 26 VLeft 2
WINDOW 3 70 93 VLeft 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M23
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL cap 4896 -208 R0
SYMATTR InstName C8
SYMATTR Value 10p
SYMBOL pmos4 5200 -96 M180
WINDOW 123 -138 110 Left 2
SYMATTR Value2 L=0.18u W=15u
SYMATTR InstName M13
SYMATTR Value PM
SYMATTR Prefix X
SYMBOL nmos4 5200 16 R0
WINDOW 3 58 29 Left 2
WINDOW 123 60 104 Left 2
WINDOW 0 56 71 Left 2
SYMATTR Value NM
SYMATTR Value2 L=0.18u W=5u
SYMATTR InstName M14
SYMATTR Prefix X
SYMBOL cap 5392 -272 R0
SYMATTR InstName CL
SYMATTR Value 10p
SYMBOL voltage 5456 432 R0
SYMATTR InstName V_1
SYMATTR Value 1.5
SYMBOL Ind 1312 816 R90
WINDOW 0 5 56 VBottom 2
WINDOW 3 32 56 VTop 2
SYMATTR InstName L1
SYMATTR Value 6.7m
SYMBOL Res 1104 816 R90
WINDOW 0 0 56 VBottom 2
WINDOW 3 32 56 VTop 2
SYMATTR InstName R1
SYMATTR Value 20
SYMBOL Cap 1504 816 R90
WINDOW 0 0 32 VBottom 2
WINDOW 3 32 32 VTop 2
SYMATTR InstName C3
SYMATTR Value 3.3p
TEXT 40 672 Left 2 ;.ac dec 200 1M 10M
TEXT 320 704 Left 2 !.op
TEXT 320 672 Left 2 !.lib mosfet_018.lib
TEXT 40 704 Left 2 !.dc v_1 0 1.5
TEXT 472 -440 Left 5 ;Oscillator
TEXT 1656 -512 Left 5 ;Amplitude\nregulator
TEXT 3128 -512 Left 5 ;Output voltage\nregulator
TEXT 4768 -512 Left 5 ;Output\namplifier
TEXT 3488 136 Left 2 ;M33 and M35 are in\nweak inversion zone
TEXT 320 128 Left 2 ;M17 is in weak inversion zone,\nso acts as a very large resistor
TEXT 464 -256 Left 2 ;M1 is in grounded source config,\nso acts as a pierce oscillator
TEXT 1816 120 Left 2 ;M37 and M39 have\nhigh resistance, so\nthey are in weak\ninversion zone
TEXT 3856 96 Left 4 ;Ip
TEXT 4168 312 Right 4 ;IL
TEXT 4264 304 Left 2 ;this voltage-follower amplifier achieves a very small offset lVRl - IVNl for IL >> B*Ip
TEXT 320 744 Left 2 ;.tran 0 10 0 250n startup
TEXT 1992 840 Left 3 ;Citations credit to Eric Vittoz:\n- [High-performance crystal oscillator circuits: theory and application](http://ieeexplore.ieee.org/document/318/)\n- [Low-Power Crystal and MEMS Oscillators: The Experience of Watch Developments](https://link.springer.com/10.1007/978-90-481-9395-0)
LINE Normal 1020 -492 1020 656 2
LINE Normal 2536 -468 2536 680 2
LINE Normal 4084 -456 4084 692 2
LINE Normal 3824 56 3824 140 2
LINE Normal 3824 140 3804 120 2
LINE Normal 3824 140 3844 120 2
LINE Normal 4196 268 4112 268 2
LINE Normal 4112 268 4132 248 2
LINE Normal 4112 268 4132 288 2
Raw
ck_osc.plt
[DC transfer characteristic]
{
Npanes: 4
Active Pane: 2
{
traces: 6 {268959753,0,"V(q1)"} {268959755,0,"V(vr)"} {268959751,0,"V(v1)"} {268959749,0,"V(q2)"} {268959747,0,"V(m32_g)"} {268959752,0,"V(m24_d)"}
X: (' ',1,-1.5,0.1,-0.5)
Y[0]: (' ',1,-1.5,0.1,-0)
Y[1]: ('_',0,1e+308,0,-1e+308)
Volts: (' ',0,0,1,-1.5,0.1,-0)
Log: 0 0 0
NeyeDiagPeriods: 0
},
{
traces: 5 {268959748,0,"V(g_a)"} {268959746,0,"V(g_b)"} {268959757,0,"V(m1_gate)"} {268959756,0,"V(m35_s)"} {268959746,0,"V(vn)"}
X: (' ',1,-1.5,0.1,-0.5)
Y[0]: (' ',1,-1.5,0.1,-0.3)
Y[1]: ('_',0,1e+308,0,-1e+308)
Volts: (' ',0,0,1,-1.5,0.1,-0.3)
Log: 0 0 0
NeyeDiagPeriods: 0
},
{
traces: 5 {268959752,0,"V(m39_d)"} {268959750,0,"V(m39_s)"} {268959747,0,"V(m3_g)"} {268959755,0,"V(m22_d)"} {303038474,1,"Is(M3)"}
X: (' ',1,-1.5,0.1,-0.5)
Y[0]: (' ',2,-1.38,0.06,-0.66)
Y[1]: ('m',1,-0.0004,0.0002,0.0018)
Volts: (' ',0,0,2,-1.38,0.06,-0.66)
Amps: ('m',0,0,1,-0.0004,0.0002,0.0018)
Log: 0 0 0
NeyeDiagPeriods: 0
},
{
traces: 5 {268959751,0,"V(m12_g)"} {268959750,0,"V(m14_g)"} {268959754,0,"V(m13_d)"} {303038468,1,"Ix(M35:S)"} {303038469,1,"Ix(M32:D)"}
X: (' ',1,-1.5,0.1,-0.5)
Y[0]: ('m',0,-0.8,0.05,-0.25)
Y[1]: ('m',1,-0,0.0002,0.0018)
Volts: ('m',0,0,0,-0.8,0.05,-0.25)
Amps: ('m',0,0,1,-0,0.0002,0.0018)
Log: 0 0 0
NeyeDiagPeriods: 0
}
}
[Ctase hrceitc
Nae:4 ciePn:3
rcs 285730"(1" 285750"(r" 285710"(1" 285790"(2" 285770"(3_)}{6995,,Vm4d"
:( ,,1501-.) Y0:( ,,1501-) Y1:(_,,e380-e38
ot:( ,,,,1501-) Lg
eeigeid:0 ,
rcs 285780"(_)}{6994,,Vgb" 285770"(1gt)}{6995,,Vm5s" 285760"(n"
:( ,,1501-.) Y0:( ,,1501-.) Y1:(_,,e380-e38
ot:( ,,,,1501-.) Lg
eeigeid:0 ,
rcs 285720"(3_)}{6995,,Vm9s" 285770"(3g" 285750"(2_)}{0087,,I(3"
:( ,,1501-.) Y0:( ,,13,.6-.6
[] ''1-.04000,.08
ot:( ,,,,13,.6-.6
ms ''001-.04000,.08
o:000 NyDaPros
}
{ tae:6{6995,,Vm2g" 285700"(1_)}{6995,,Vm3d" 333481"sM5" 333491"sM2" 333431"sM)} X ''1-.,.,05
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mosfet_018.lib
* modified for use with LTSpice; DM 8/19/2008
*
* 0.18u CMOS process
*
* NMOS transistor model name: NM
* PMOS transistor model name: PM
*-----------------------------------------------------------------------
.subckt NM D G S B
+params: W=10u L=1u
M1 D G S B NM L={L} W={W} AS={1.1u*W} PS={2.2u+W} AD={1.1u*W} PD={2.2u+W}
.ends
* ----------------------------------------------------------------------
* NMOS transistor model
* ----------------------------------------------------------------------
.MODEL NM NMOS LEVEL=49
* ----------------------------------------------------------------------
************************* SIMULATION PARAMETERS ************************
* ----------------------------------------------------------------------
* format : LTspice
* model : MOS BSIM3v3
* ----------------------------------------------------------------------
* TYPICAL MEAN CONDITION
* ----------------------------------------------------------------------
+VERSION = 3.1 TNOM = 27 TOX = 4.1E-9
+XJ = 1E-7 NCH = 2.3549E17 VTH0 = 0.354505
+K1 = 0.5733393 K2 = 3.177172E-3 K3 = 27.3563303
+K3B = -10 W0 = 2.341477E-5 NLX = 1.906617E-7
+DVT0W = 0 DVT1W = 0 DVT2W = 0
+DVT0 = 1.6751718 DVT1 = 0.4282625 DVT2 = 0.036004
+U0 = 327.3736992 UA = -4.52726E-11 UB = 4.46532E-19
+UC = -4.74051E-11 VSAT = 8.785346E4 A0 = 1.6897405
+AGS = 0.2908676 B0 = -8.224961E-9 B1 = -1E-7
+KETA = 0.021238 A1 = 8.00349E-4 A2 = 1
+RDSW = 105 PRWG = 0.5 PRWB = -0.2
+WR = 1 WINT = 5e-9 LINT = 2.351737E-8
+DWG = 1.610448E-9
+DWB = -5.108595E-9 VOFF = -0.0652968 NFACTOR = 2.4901845
+CIT = 0 CDSC = 2.4E-4 CDSCD = 0
+CDSCB = 0 ETA0 = 0.0231564 ETAB = -0.058499
+DSUB = 0.9467118 PCLM = 0.8512348 PDIBLC1 = 0.0929526
+PDIBLC2 = 0.01 PDIBLCB = -0.1 DROUT = 0.5224026
+PSCBE1 = 7.979323E10 PSCBE2 = 1.522921E-9 PVAG = 0.01
+DELTA = 0.01 RSH = 6.8 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 = 0
+WWN = 1 WWL = 0 LL = 0
+LLN = 1 LW = 0 LWN = 1
+LWL = 0 CAPMOD = 2 XPART = 0.5
+CGDO = 7.7E-10 CGSO = 7.7E-10 CGBO = 1E-12
+CJ = 1.010083E-3 PB = 0.7344298 MJ = 0.3565066
+CJSW = 2.441707E-10 PBSW = 0.8005503 MJSW = 0.1327842
+CJSWG = 3.3E-10 PBSWG = 0.8005503 MJSWG = 0.1327842
+CF = 0 PVTH0 = 1.307195E-3 PRDSW = -5
+PK2 = -1.022757E-3 WKETA = -4.466285E-4 LKETA = -9.715157E-3
+PU0 = 12.2704847 PUA = 4.421816E-11 PUB = 0
+PVSAT = 1.707461E3 PETA0 = 1E-4 PKETA = 2.348777E-3
*-----------------------------------------------------------------------
.subckt PM D G S B
+params: W=10u L=1u
M1 D G S B PM L={L} W={W} AS={1.1u*W} PS={2.2u+W} AD={1.1u*W} PD={2.2u+W}
.ends
* ----------------------------------------------------------------------
* PMOS transistor model
* ----------------------------------------------------------------------
.MODEL PM PMOS LEVEL=49
* ----------------------------------------------------------------------
************************* SIMULATION PARAMETERS ************************
* ----------------------------------------------------------------------
* format : LTSPICE
* model : MOS BSIM3v3
* ----------------------------------------------------------------------
* TYPICAL MEAN CONDITION
* ----------------------------------------------------------------------
+VERSION = 3.1 TNOM = 27 TOX = 4.1E-9
+XJ = 1E-7 NCH = 4.1589E17 VTH0 = -0.4120614
+K1 = 0.5590154 K2 = 0.0353896 K3 = 0
+K3B = 7.3774572 W0 = 1E-6 NLX = 1.103367E-7
+DVT0W = 0 DVT1W = 0 DVT2W = 0
+DVT0 = 0.4301522 DVT1 = 0.2156888 DVT2 = 0.1
+U0 = 128.7704538 UA = 1.908676E-9 UB = 1.686179E-21
+UC = -9.31329E-11 VSAT = 1.658944E5 A0 = 1.6076505
+AGS = 0.3740519 B0 = 1.711294E-6 B1 = 4.946873E-6
+KETA = 0.0210951 A1 = 0.0244939 A2 = 1
+RDSW = 127.0442882 PRWG = 0.5 PRWB = -0.5
+WR = 1 WINT = 5.928484E-10 LINT = 3.468805E-8
+DWG = -2.453074E-8
+DWB = 6.408778E-9 VOFF = -0.0974174 NFACTOR = 1.9740447
+CIT = 0 CDSC = 2.4E-4 CDSCD = 0
+CDSCB = 0 ETA0 = 0.1847491 ETAB = -0.2531172
+DSUB = 1.5 PCLM = 4.8842961 PDIBLC1 = 0.0156227
+PDIBLC2 = 0.1 PDIBLCB = -1E-3 DROUT = 0
+PSCBE1 = 1.733878E9 PSCBE2 = 5.002842E-10 PVAG = 15
+DELTA = 0.01 RSH = 7.7 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 = 0
+WWN = 1 WWL = 0 LL = 0
+LLN = 1 LW = 0 LWN = 1
+LWL = 0 CAPMOD = 2 XPART = 0.5
+CGDO = 7.11E-10 CGSO = 7.11E-10 CGBO = 1E-12
+CJ = 1.179334E-3 PB = 0.8545261 MJ = 0.4117753
+CJSW = 2.215877E-10 PBSW = 0.6162997 MJSW = 0.2678074
+CJSWG = 4.22E-10 PBSWG = 0.6162997 MJSWG = 0.2678074
+CF = 0 PVTH0 = 2.283319E-3 PRDSW = 5.6431992
+PK2 = 2.813503E-3 WKETA = 2.438158E-3 LKETA = -0.0116078
+PU0 = -2.2514581 PUA = -7.62392E-11 PUB = 4.502298E-24
+PVSAT = -50 PETA0 = 1E-4 PKETA = -1.047892E-4
* ----------------------------------------------------------------------
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