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Monte Carlo simulation for device mismatch

sdineshkumar

I am trying to simulate a SRAM PUF in cadence 5.1. I want to create threshold variations between two back to back connected inverters. I decided to vary threshold of any one of the PMOS . I want to apply monte carlo simulation with guassian distribution to any one of the PMOS. I dont know  how to apply montecarlo variation to a particular PMOS?

Is there any way to do it in virtuoso 5.1

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  • sdineshkumar
    model cmosn bsim3v3 type=n
    +version = 3.1 tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 2.3549e17 vth0 = 0.3662473
    +k1 = 0.5864999 k2 = 1.127266e-3 k3 = 1e-3
    +k3b = 0.0294061 w0 = 1e-7 nlx = 1.630684e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    +dvt0 = 1.2064649 dvt1 = 0.4215486 dvt2 = 0.0197749
    +u0 = 273.8094484 ua = -1.40499e-9 ub = 2.408323e-18
    +uc = 6.504826e-11 vsat = 1.355009e5 a0 = 2
    +ags = 0.4449958 b0 = 1.901075e-7 b1 = 4.99995e-6
    +keta = -0.0164863 a1 = 3.868769e-4 a2 = 0.4640272
    +rdsw = 123.3376355 prwg = 0.5 prwb = -0.197728
    +wr = 1 wint = 0 lint = 1.690044e-8
    +xl = 0 xw = -1e-8 dwg = -4.728719e-9
    +dwb = -2.452411e-9 voff = -0.0948017 nfactor = 2.1860065
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 2.230928e-3 etab = 6.028975e-5
    +dsub = 0.0145467 pclm = 1.3822069 pdiblc1 = 0.1762787
    +pdiblc2 = 1.66653e-3 pdiblcb = -0.1 drout = 0.7694691
    +pscbe1 = 8.91287e9 pscbe2 = 7.349607e-9 pvag = 1.685917e-3
    +delta = 0.01 rsh = 6.7 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 = 8.23e-10 cgso = 8.23e-10 cgbo = 1e-12
    +cj = 9.466429e-4 pb = 0.8 mj = 0.3820266
    +cjsw = 2.608154e-10 pbsw = 0.8 mjsw = 0.102322
    +cjswg = 3.3e-10 pbswg = 0.8 mjswg = 0.102322
    +cf = 0 pvth0 = -2.199373e-3 prdsw = -0.9368961
    +pk2 = 1.593254e-3 wketa = -2.880976e-3 lketa = 7.165078e-3
    +pu0 = 6.777519 pua = 5.505418e-12 pub = 8.84133e-25
    +pvsat = 2.006286e3 peta0 = 1.003159e-4 pketa = -6.759277e-3
    +noimod=2.0e+00 noia=1.3182567385564e+19
    +noib=144543.977074592 noic=-1.24515784572817e-12 ef=0.92 em=41000000
    // *
    // *
    // * flicker noise parameters above added manually from some other process
    // *
    model cmosp bsim3v3 type=p
    +version = 3.1 tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 4.1589e17 vth0 = -0.3906012
    +k1 = 0.5341312 k2 = 0.0395326 k3 = 0
    +k3b = 7.4916211 w0 = 1e-6 nlx = 1.194072e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    +dvt0 = 0.5060555 dvt1 = 0.2423835 dvt2 = 0.1
    +u0 = 115.6894042 ua = 1.573746e-9 ub = 1.874308e-21
    +uc = -1e-10 vsat = 1.130982e5 a0 = 1.9976555
    +ags = 0.4186945 b0 = 1.949178e-7 b1 = 6.422908e-7
    +keta = 0.0166345 a1 = 0.4749146 a2 = 0.300003
    +rdsw = 198.321294 prwg = 0.5 prwb = -0.4986647
    +wr = 1 wint = 0 lint = 2.94454e-8
    +xl = 0 xw = -1e-8 dwg = -2.798724e-8
    +dwb = -4.83797e-10 voff = -0.095236 nfactor = 2
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 1.035504e-3 etab = -4.358398e-4
    +dsub = 1.816555e-3 pclm = 1.3299898 pdiblc1 = 1.766563e-3
    +pdiblc2 = 7.728395e-7 pdiblcb = -1e-3 drout = 1.011891e-3
    +pscbe1 = 4.872184e10 pscbe2 = 5e-10 pvag = 0.0209921
    +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 = 6.35e-10 cgso = 6.35e-10 cgbo = 1e-12
    +cj = 1.144521e-3 pb = 0.8468686 mj = 0.4099522
    +cjsw = 2.490749e-10 pbsw = 0.8769118 mjsw = 0.3478565
    +cjswg = 4.22e-10 pbswg = 0.8769118 mjswg = 0.3478565
    +cf = 0 pvth0 = 2.302018e-3 prdsw = 9.0575312
    +pk2 = 1.821914e-3 wketa = 0.0222457 lketa = -1.495872e-3
    +pu0 = -1.5580645 pua = -6.36889e-11 pub = 1e-21
    +pvsat = 49.8420442 peta0 = 2.827793e-5 pketa = -2.536564e-3
    + noimod=2.0e+00 noia=3.57456993317604e+18 noib=2500
    + noic=2.61260020285845e-11 ef=1.1388 em=41000000
    // *
    // *
    // * flicker noise parameters above added manually from some other process// *

    simulator lang=spectre

    parameters vth0=0.3662473
    parameters dvt0=1.2064649

    statistics
    {
    process
    {
    vary dvt0 dist=gauss std=9 percent=yes

    }
    mismatch
    {

    vary dvt0 dist=gauss std=100 percent=yes

    }
    }
    inline subckt NFET (D G S B)
    parameters w=350e-9 l=180e-9
    NFET (D G S B) cmosn w=w l=l vth0 =0.5+ dvt0/sqrt(l*w)
    model cmosn bsim3v3 type=n
    +vth0 =vth0 dvt0 = dvt0
    +tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 2.3549e17
    +k1 = 0.5864999 k2 = 1.127266e-3 k3 = 1e-3
    +k3b = 0.0294061 w0 = 1e-7 nlx = 1.630684e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    + dvt1 = 0.4215486 dvt2 = 0.0197749
    +u0 = 273.8094484 ua = -1.40499e-9 ub = 2.408323e-18
    +uc = 6.504826e-11 vsat = 1.355009e5 a0 = 2
    +ags = 0.4449958 b0 = 1.901075e-7 b1 = 4.99995e-6
    +keta = -0.0164863 a1 = 3.868769e-4 a2 = 0.4640272
    +rdsw = 123.3376355 prwg = 0.5 prwb = -0.197728
    +wr = 1 wint = 0 lint = 1.690044e-8
    +xl = 0 xw = -1e-8 dwg = -4.728719e-9
    +dwb = -2.452411e-9 voff = -0.0948017 nfactor = 2.1860065
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 2.230928e-3 etab = 6.028975e-5
    +dsub = 0.0145467 pclm = 1.3822069 pdiblc1 = 0.1762787
    +pdiblc2 = 1.66653e-3 pdiblcb = -0.1 drout = 0.7694691
    +pscbe1 = 8.91287e9 pscbe2 = 7.349607e-9 pvag = 1.685917e-3
    +delta = 0.01 rsh = 6.7 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 = 8.23e-10 cgso = 8.23e-10 cgbo = 1e-12
    +cj = 9.466429e-4 pb = 0.8 mj = 0.3820266
    +cjsw = 2.608154e-10 pbsw = 0.8 mjsw = 0.102322
    +cjswg = 3.3e-10 pbswg = 0.8 mjswg = 0.102322
    +cf = 0 pvth0 = -2.199373e-3 prdsw = -0.9368961
    +pk2 = 1.593254e-3 wketa = -2.880976e-3 lketa = 7.165078e-3
    +pu0 = 6.777519 pua = 5.505418e-12 pub = 8.84133e-25
    +pvsat = 2.006286e3 peta0 = 1.003159e-4 pketa = -6.759277e-3
    +noimod=2.0e+00 noia=1.3182567385564e+19
    +noib=144543.977074592 noic=-1.24515784572817e-12 ef=0.92 em=41000000
    ends NFET Hi andrew.. This is the spectre code I modified.. When I run this code I am still not getting any variation.. Pls help me..
Reply
  • sdineshkumar
    model cmosn bsim3v3 type=n
    +version = 3.1 tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 2.3549e17 vth0 = 0.3662473
    +k1 = 0.5864999 k2 = 1.127266e-3 k3 = 1e-3
    +k3b = 0.0294061 w0 = 1e-7 nlx = 1.630684e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    +dvt0 = 1.2064649 dvt1 = 0.4215486 dvt2 = 0.0197749
    +u0 = 273.8094484 ua = -1.40499e-9 ub = 2.408323e-18
    +uc = 6.504826e-11 vsat = 1.355009e5 a0 = 2
    +ags = 0.4449958 b0 = 1.901075e-7 b1 = 4.99995e-6
    +keta = -0.0164863 a1 = 3.868769e-4 a2 = 0.4640272
    +rdsw = 123.3376355 prwg = 0.5 prwb = -0.197728
    +wr = 1 wint = 0 lint = 1.690044e-8
    +xl = 0 xw = -1e-8 dwg = -4.728719e-9
    +dwb = -2.452411e-9 voff = -0.0948017 nfactor = 2.1860065
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 2.230928e-3 etab = 6.028975e-5
    +dsub = 0.0145467 pclm = 1.3822069 pdiblc1 = 0.1762787
    +pdiblc2 = 1.66653e-3 pdiblcb = -0.1 drout = 0.7694691
    +pscbe1 = 8.91287e9 pscbe2 = 7.349607e-9 pvag = 1.685917e-3
    +delta = 0.01 rsh = 6.7 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 = 8.23e-10 cgso = 8.23e-10 cgbo = 1e-12
    +cj = 9.466429e-4 pb = 0.8 mj = 0.3820266
    +cjsw = 2.608154e-10 pbsw = 0.8 mjsw = 0.102322
    +cjswg = 3.3e-10 pbswg = 0.8 mjswg = 0.102322
    +cf = 0 pvth0 = -2.199373e-3 prdsw = -0.9368961
    +pk2 = 1.593254e-3 wketa = -2.880976e-3 lketa = 7.165078e-3
    +pu0 = 6.777519 pua = 5.505418e-12 pub = 8.84133e-25
    +pvsat = 2.006286e3 peta0 = 1.003159e-4 pketa = -6.759277e-3
    +noimod=2.0e+00 noia=1.3182567385564e+19
    +noib=144543.977074592 noic=-1.24515784572817e-12 ef=0.92 em=41000000
    // *
    // *
    // * flicker noise parameters above added manually from some other process
    // *
    model cmosp bsim3v3 type=p
    +version = 3.1 tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 4.1589e17 vth0 = -0.3906012
    +k1 = 0.5341312 k2 = 0.0395326 k3 = 0
    +k3b = 7.4916211 w0 = 1e-6 nlx = 1.194072e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    +dvt0 = 0.5060555 dvt1 = 0.2423835 dvt2 = 0.1
    +u0 = 115.6894042 ua = 1.573746e-9 ub = 1.874308e-21
    +uc = -1e-10 vsat = 1.130982e5 a0 = 1.9976555
    +ags = 0.4186945 b0 = 1.949178e-7 b1 = 6.422908e-7
    +keta = 0.0166345 a1 = 0.4749146 a2 = 0.300003
    +rdsw = 198.321294 prwg = 0.5 prwb = -0.4986647
    +wr = 1 wint = 0 lint = 2.94454e-8
    +xl = 0 xw = -1e-8 dwg = -2.798724e-8
    +dwb = -4.83797e-10 voff = -0.095236 nfactor = 2
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 1.035504e-3 etab = -4.358398e-4
    +dsub = 1.816555e-3 pclm = 1.3299898 pdiblc1 = 1.766563e-3
    +pdiblc2 = 7.728395e-7 pdiblcb = -1e-3 drout = 1.011891e-3
    +pscbe1 = 4.872184e10 pscbe2 = 5e-10 pvag = 0.0209921
    +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 = 6.35e-10 cgso = 6.35e-10 cgbo = 1e-12
    +cj = 1.144521e-3 pb = 0.8468686 mj = 0.4099522
    +cjsw = 2.490749e-10 pbsw = 0.8769118 mjsw = 0.3478565
    +cjswg = 4.22e-10 pbswg = 0.8769118 mjswg = 0.3478565
    +cf = 0 pvth0 = 2.302018e-3 prdsw = 9.0575312
    +pk2 = 1.821914e-3 wketa = 0.0222457 lketa = -1.495872e-3
    +pu0 = -1.5580645 pua = -6.36889e-11 pub = 1e-21
    +pvsat = 49.8420442 peta0 = 2.827793e-5 pketa = -2.536564e-3
    + noimod=2.0e+00 noia=3.57456993317604e+18 noib=2500
    + noic=2.61260020285845e-11 ef=1.1388 em=41000000
    // *
    // *
    // * flicker noise parameters above added manually from some other process// *

    simulator lang=spectre

    parameters vth0=0.3662473
    parameters dvt0=1.2064649

    statistics
    {
    process
    {
    vary dvt0 dist=gauss std=9 percent=yes

    }
    mismatch
    {

    vary dvt0 dist=gauss std=100 percent=yes

    }
    }
    inline subckt NFET (D G S B)
    parameters w=350e-9 l=180e-9
    NFET (D G S B) cmosn w=w l=l vth0 =0.5+ dvt0/sqrt(l*w)
    model cmosn bsim3v3 type=n
    +vth0 =vth0 dvt0 = dvt0
    +tnom = 27 tox = 4.1e-9
    +xj = 1e-7 nch = 2.3549e17
    +k1 = 0.5864999 k2 = 1.127266e-3 k3 = 1e-3
    +k3b = 0.0294061 w0 = 1e-7 nlx = 1.630684e-7
    +dvt0w = 0 dvt1w = 0 dvt2w = 0
    + dvt1 = 0.4215486 dvt2 = 0.0197749
    +u0 = 273.8094484 ua = -1.40499e-9 ub = 2.408323e-18
    +uc = 6.504826e-11 vsat = 1.355009e5 a0 = 2
    +ags = 0.4449958 b0 = 1.901075e-7 b1 = 4.99995e-6
    +keta = -0.0164863 a1 = 3.868769e-4 a2 = 0.4640272
    +rdsw = 123.3376355 prwg = 0.5 prwb = -0.197728
    +wr = 1 wint = 0 lint = 1.690044e-8
    +xl = 0 xw = -1e-8 dwg = -4.728719e-9
    +dwb = -2.452411e-9 voff = -0.0948017 nfactor = 2.1860065
    +cit = 0 cdsc = 2.4e-4 cdscd = 0
    +cdscb = 0 eta0 = 2.230928e-3 etab = 6.028975e-5
    +dsub = 0.0145467 pclm = 1.3822069 pdiblc1 = 0.1762787
    +pdiblc2 = 1.66653e-3 pdiblcb = -0.1 drout = 0.7694691
    +pscbe1 = 8.91287e9 pscbe2 = 7.349607e-9 pvag = 1.685917e-3
    +delta = 0.01 rsh = 6.7 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 = 8.23e-10 cgso = 8.23e-10 cgbo = 1e-12
    +cj = 9.466429e-4 pb = 0.8 mj = 0.3820266
    +cjsw = 2.608154e-10 pbsw = 0.8 mjsw = 0.102322
    +cjswg = 3.3e-10 pbswg = 0.8 mjswg = 0.102322
    +cf = 0 pvth0 = -2.199373e-3 prdsw = -0.9368961
    +pk2 = 1.593254e-3 wketa = -2.880976e-3 lketa = 7.165078e-3
    +pu0 = 6.777519 pua = 5.505418e-12 pub = 8.84133e-25
    +pvsat = 2.006286e3 peta0 = 1.003159e-4 pketa = -6.759277e-3
    +noimod=2.0e+00 noia=1.3182567385564e+19
    +noib=144543.977074592 noic=-1.24515784572817e-12 ef=0.92 em=41000000
    ends NFET Hi andrew.. This is the spectre code I modified.. When I run this code I am still not getting any variation.. Pls help me..
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