2 changed files with 632 additions and 82 deletions
@ -1,110 +1,655 @@ |
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// EPFL-EKV version 2.6: A Verilog-A description. |
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// The intrinsic device is coded according to the official manual |
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// (revision II) available at http://legwww.epfl.ch/ekv. |
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// contribution of Ivan Riis Nielsen 11/2006, modified by Dietmar Warning 01/2009 |
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//`include "std.va" |
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//`include "const.va" |
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//Spice |
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`include "constants.h" |
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`include "discipline.h" |
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//Default simulator: Spectre |
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`ifdef insideADMS |
`ifdef insideADMS |
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`define P(p) (*p*) |
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`define PGIVEN(p) $given(p) |
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`define INITIAL_MODEL @(initial_model) |
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`define P(txt) (*txt*) |
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`define PGIVEN(p) $given(p) |
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`define INITIAL_MODEL @(initial_model) |
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`define INSTANCE @(initial_instance) |
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`define NOISE @(noise) |
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`else |
`else |
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`define P(p) |
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`define PGIVEN(p) p |
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`define INITIAL_MODEL @(initial_step) |
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`define P(txt) (txt) |
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`define PGIVEN(p) p |
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`define INITIAL_MODEL |
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`define INSTANCE |
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`define NOISE |
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`endif |
`endif |
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//dw |
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`define TMAX 326.85 |
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`define TMIN -100.0 |
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//ADS |
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//`include "constants.vams" |
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//`include "disciplines.vams" |
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//`include "compact.vams" |
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//Spectre |
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`include "constants.h" |
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`include "discipline.h" |
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`define NMOS 1 |
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`define PMOS -1 |
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`define EPSSI `P_EPS0*11.7 |
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`define EPSOX `P_EPS0*3.9 |
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`define TREF 300.15 |
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`define SQR(x) ((x)*(x)) |
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`define VT(temp) (`P_K*temp/`P_Q) |
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`define EG(temp) (1.16-0.000702*`SQR(temp)/(temp+1108)) |
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`define NI(temp) (1.45e16*(temp/`TREF)*exp(`EG(`TREF)/(2*`VT(`TREF))-`EG(temp)/(2*`VT(temp)))) |
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`define oneThird 3.3333333333333333e-01 |
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// Constants needed in safe exponential function (called "expl") |
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`define se05 2.3025850929940458e+02 |
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`define ke05 1.0e-100 |
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`define ke05inv 1.0e100 |
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// P3 3rd order polynomial expansion of exp() |
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`define P3(u) (1.0 + (u) * (1.0 + 0.5 * ((u) * (1.0 + (u) * `oneThird)))) |
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// expl exp() with 3rd order polynomial extrapolation |
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// to avoid overflows and underflows and retain C-3 continuity |
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`define expl(x, res) \ |
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if (abs(x) < `se05) begin\ |
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res = exp(x); \ |
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end else begin \ |
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if ((x) < -`se05) begin\ |
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res = `ke05 / `P3(-`se05 - (x)); \ |
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end else begin\ |
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res = `ke05inv * `P3((x) - `se05); \ |
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end \ |
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end |
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module ekv (d,g,s,b); |
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// Node definitions |
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inout d,g,s,b; |
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electrical d,g,s,b,di,si; |
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// Model parameters |
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parameter integer nmos=1 from [0:1] `P(info="MOS type : nmos:0"); |
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parameter integer pmos=1 from [0:1] `P(info="MOS type : pmos:0"); |
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parameter integer MTYPE=(nmos==0 ? (pmos==0 ? 0 : 1) : (pmos==0 ? -1 : 1)); |
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parameter real TNOM=27 from (-273.15:inf) |
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`P(info="Nominal temperature [degC]"); |
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parameter real IMAX=1 from (0:inf) |
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`P(info="Maximum forward junction current before linearization [A]"); |
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// - intrinsic model (optional, section 4.2.1) |
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parameter real TOX=0 from [0:inf) |
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`P(info="Oxide thickness [m]"); |
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parameter real NSUB=0 from [0:inf) |
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`P(info="Channel doping [cm^-3]"); |
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parameter real VFB=1001.0 from (-inf:inf) // use 1001V as "not specified" |
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`P(info="Flat-band voltage [V]"); |
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parameter real UO=0 from [0:inf) |
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`P(info="Low-field mobility [cm^2/Vs]"); |
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parameter real VMAX=0 from [0:inf) |
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`P(info="Saturation velocity [m/s]"); |
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parameter real THETA=0 from [0:inf) |
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`P(info="Mobility reduction coefficient [V^-1]"); |
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// - intrinsic model (process related, section 4.1) |
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parameter real COX=((TOX>0) ? (`EPSOX/TOX) : 0.7m) from [0:inf) |
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`P(info="Oxide capacitance [F/m^2]"); |
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parameter real XJ=0.1u from [1n:inf) |
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`P(info="Junction depth [m]"); |
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parameter real DL=0 from (-inf:inf) |
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`P(info="Length correction [m]"); |
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parameter real DW=0 from (-inf:inf) |
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`P(info="Width correction [m]"); |
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// - intrinsic model (basic, section 4.2) |
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parameter real GAMMA=((NSUB>0) ? (sqrt(2*`P_Q*`EPSSI*NSUB*1e6)/COX) : 1) from [0:inf) |
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`P(info="Body effect parameter [V^0.5]"); |
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parameter real PHI=((NSUB>0) ? (2*`VT((TNOM+273.15))*ln(max(NSUB,1)*1e6/`NI((TNOM+273.15)))) : 0.7) from [0.1:inf) |
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`P(info="Bulk Fermi potential (*2) [V]"); |
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parameter real VTO=((VFB<1000.0) ? (VFB+MTYPE*(PHI+GAMMA*sqrt(PHI))) : 0.5) from (-inf:inf) |
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`P(info="Long-channel threshold voltage [V]"); |
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parameter real KP=((UO>0) ? (UO*1e-4*COX) : 50u) from (0:inf) |
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`P(info="Transconductance parameter [A/V^2]"); |
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parameter real UCRIT=(((VMAX>0) && (UO>0)) ? (VMAX/(UO*1e-4)) : 2e6 ) from [100k:inf) |
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`P(info="Longitudinal critical field [V/m]"); |
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parameter real E0=((THETA>0) ? 0 : 1e12) from [100k:inf) |
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`P(info="Mobility reduction coefficient [V/m]"); |
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// - intrinsic model (channel length modulation and charge sharing, section 4.3) |
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parameter real LAMBDA=0.5 from [0:inf) |
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`P(info="Depletion length coefficient (CLM)"); |
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parameter real WETA=0.25 from (-inf:inf) |
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`P(info="Narrow-channel effect coefficient"); |
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parameter real LETA=0.1 from (-inf:inf) |
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`P(info="Short-channel effect coefficient"); |
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// - intrinsic model (reverse short channel effect, section 4.4) |
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parameter real Q0=0 from (-inf:inf) |
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`P(info="RSCE peak charge density [C/m^2]"); |
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parameter real LK=0.29u from [10n:inf) |
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`P(info="RSCE characteristic length [m]"); |
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// - intrinsic model (impact ionization, section 4.5) |
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parameter real IBA=0 from (-inf:inf) |
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`P(info="First impact ionization coefficient [m^-1]"); |
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parameter real IBB=3e8 from [1e8:inf) |
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`P(info="Second impact ionization coefficient [V/m]"); |
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parameter real IBN=1 from [0.1:inf) |
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`P(info="Saturation voltage factor for impact ionization"); |
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// - intrinsic model (temperature, section 4.6) |
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parameter real TCV=1m from (-inf:inf) |
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`P(info="Threshold voltage TC [V/K]"); |
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parameter real BEX=-1.5 from (-inf:inf) |
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`P(info="Mobility temperature exponent"); |
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parameter real UCEX=0.8 from (-inf:inf) |
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`P(info="Longitudinal critical field temperature exponent"); |
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parameter real IBBT=9e-4 from (-inf:inf) |
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`P(info="Temperature coefficient for IBB [K^-1]"); |
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// - intrinsic model (matching, section 4.7) |
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parameter real AVTO=0 from (-inf:inf) |
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`P(info="Area related VTO mismatch parameter [Vm]"); |
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parameter real AKP=0 from (-inf:inf) |
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`P(info="Area related KP mismatch parameter [m]"); |
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parameter real AGAMMA=0 from (-inf:inf) |
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`P(info="Area related GAMMA mismatch parameter [V^0.5*m]"); |
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// - intrinsic model (flicker noise, section 4.8) |
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parameter real KF=0 from [0:inf) |
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`P(info="Flicker noise coefficient"); |
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parameter real AF=1 from (-inf:inf) |
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`P(info="Flicker noise exponent"); |
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// - intrinsic model (setup, section 4.9) |
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parameter real NQS=0 from [0:1] |
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`P(info="Non-quasi-static operation switch"); |
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parameter real SATLIM=exp(4) from (0:inf) |
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`P(info="Saturation limit (if/ir)"); |
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parameter real XQC=0.4 from [0:1] |
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`P(info="Charge/capacitance model selector"); |
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// - external parasitic parameters |
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parameter real HDIF=0 from [0:inf) |
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`P(info="S/D diffusion length (/2) [m]"); |
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parameter real RSH=0 from [0:inf) |
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`P(info="S/D sheet resistance [ohm]"); |
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parameter real JS=0 from [0:inf) |
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`P(info="S/D junction saturation current density [A/m^2]"); |
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parameter real JSW=0 from [0:inf) |
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`P(info="S/D junction sidewall saturation current density [A/m]"); |
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parameter real XTI=3 from [0:inf) |
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`P(info="S/D diode saturation current temperature exponent"); |
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parameter real N=1 from [0.5:10] |
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`P(info="S/D diode emission coefficient"); |
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parameter real CJ=0 from [0:inf) |
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`P(info="S/D zero-bias junction capacitance per area [F/m^2]"); |
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parameter real CJSW=0 from [0:inf) |
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`P(info="S/D zero-bias junction capacitance per perimeter [F/m]"); |
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parameter real PB=0.8 from (0:inf) |
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`P(info="S/D bottom junction builtin potential [V]"); |
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parameter real PBSW=PB from (0:inf) |
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`P(info="S/D sidewall junction builtin potential [V]"); |
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parameter real MJ=0.5 from (0:inf) |
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`P(info="S/D bottom junction grading coefficient"); |
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parameter real MJSW=0.333 from (0:inf) |
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`P(info="S/D sidewall junction grading coefficient"); |
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parameter real FC=0.5 from (0:inf) |
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`P(info="S/D bottom junction forward-bias threshold"); |
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parameter real FCSW=FC from (0:inf) |
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`P(info="S/D sidewall junction forward-bias threshold"); |
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parameter real CGSO=0 from [0:inf) |
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`P(info="Gate-source overlap capacitance per width [F/m]"); |
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parameter real CGDO=0 from [0:inf) |
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`P(info="Gate-drain overlap capacitance per width [F/m]"); |
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parameter real CGBO=0 from [0:inf) |
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`P(info="Gate-bulk overlap capacitance per length [F/m]"); |
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// Instance parameters |
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// - intrinsic model |
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parameter real L=10u from [0:inf] |
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`P(type="instance" info="Drawn length [m]" unit="m"); |
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parameter real W=10u from [0:inf] |
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`P(type="instance" info="Drawn width [m]" unit="m"); |
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parameter real M=1 from [0:inf] |
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`P(type="instance" info="Parallel multiplier" unit="m"); |
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// parameter real N=1 from [0:inf] |
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// `P(type="instance" info="Series multiplier" unit="m"); |
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// - external parasitics |
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parameter real AD=((HDIF>0) ? (2*HDIF*W) : 0) from [0:inf) |
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`P(info="Drain area [m^2]" type="instance"); |
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parameter real AS=((HDIF>0) ? (2*HDIF*W) : 0) from [0:inf) |
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`P(info="Source area [m^2]" type="instance"); |
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parameter real PD=((HDIF>0) ? (4*HDIF+2*W) : 0) from [0:inf) |
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`P(info="Drain perimeter [m]" type="instance"); |
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parameter real PS=((HDIF>0) ? (4*HDIF+2*W) : 0) from [0:inf) |
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`P(info="Source perimeter [m]" type="instance"); |
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parameter real NRD=((HDIF>0) ? (HDIF/W) : 0) from [0:inf) |
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`P(info="Drain no. squares" type="instance"); |
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parameter real NRS=((HDIF>0) ? (HDIF/W) : 0) from [0:inf) |
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`P(info="Source no. squares" type="instance"); |
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parameter real RS=((RSH>0) ? (RSH*NRS) : 0) from [0:inf) |
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`P(info="Source resistance [ohms]" type="instance"); |
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parameter real RD=((RSH>0) ? (RSH*NRD) : 0) from [0:inf) |
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`P(info="Drain resistance [ohms]" type="instance"); |
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// Declaration of variables |
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integer mode; |
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real lc,isat_s,vexp_s,gexp_s,isat_d,vexp_d,gexp_d,fact, |
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weff,leff,np,ns,lmin,rd,rs,ceps,ca,xsi,dvrsce, |
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tempk,vt,sqrt_A,vto_a,kp_a,gamma_a,ucrit,phi,ibb,vc,qb0, |
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vg,vd,vs,tmp,vgprime,vp0,vsprime,vdprime,gamma0,gammaprime,vp,n,ifwd, |
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vdss,vdssprime,dv,vds,vip,dl,lprime,leq,irprime,irev,beta0,nau, |
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nq,xf,xr,qd,qs,qi,qb,qg,beta0prime,beta,vpprime,is,ids,vib, |
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idb,ibdj,ibsj,coxt,qdt,qst,qgt,qbt, |
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cbs0,cbs0sw,cbs,cbd0,cbd0sw,cbd, |
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fv,z0,z1,y; |
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real cgso,cgdo,cgbo; |
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analog begin |
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`INITIAL_MODEL begin // Model Initialization |
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lc = sqrt(`EPSSI/COX*XJ); |
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end // INITIAL_MODEL |
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`INSTANCE begin // temperature independent device initialization |
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weff = W+DW; |
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leff = L+DL; |
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np = M; |
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ns = 1; |
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// eq. 54 |
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lmin = 0.1*ns*leff; |
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rs = ns/np*RS; |
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rd = ns/np*RD; |
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ceps = 4*22e-3*22e-3; |
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ca = 0.028; |
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xsi = ca*(10*leff/LK-1); |
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dvrsce = 2*Q0/COX/`SQR(1+0.5*(xsi+sqrt(xsi*xsi+ceps))); |
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coxt = np*ns*COX*weff*leff; |
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end // temperature independent |
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`INSTANCE begin // temperature dependent device initialization |
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tempk = $temperature; |
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vt = `VT(tempk); |
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sqrt_A = sqrt(np*weff*ns*leff); |
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vto_a = MTYPE*(VTO+TCV*(tempk-(TNOM+273.15)))+AVTO/sqrt_A; |
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kp_a = KP*pow(tempk/(TNOM+273.15),BEX)*(1+AKP/sqrt_A); |
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gamma_a = GAMMA+AGAMMA/sqrt_A; |
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ucrit = UCRIT*pow(tempk/(TNOM+273.15),UCEX); |
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phi = PHI*tempk/(TNOM+273.15)-3*vt*ln(tempk/(TNOM+273.15))-`EG(TNOM+273.15)*tempk/(TNOM+273.15)+`EG(tempk); |
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ibb = IBB*(1+IBBT*(tempk-(TNOM+273.15))); |
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vc = ucrit*ns*leff; |
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// eq. 60 |
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qb0 = gamma_a*sqrt(phi); |
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fact = (`EG(TNOM+273.15)/`VT(TNOM+273.15)-`EG(tempk)/vt) * pow(tempk/(TNOM+273.15),XTI); |
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`expl(fact,tmp); |
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isat_s = np*ns*(JS*AS+JSW*PS)*tmp; |
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isat_d = np*ns*(JS*AD+JSW*PD)*tmp; |
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if (isat_s>0) begin |
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vexp_s = vt*ln(IMAX/isat_s+1); |
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gexp_s = (IMAX+isat_s)/vt; |
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end else begin |
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vexp_s = -1e9; |
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gexp_s = 0; |
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end |
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if (isat_d>0) begin |
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vexp_d = vt*ln(IMAX/isat_d+1); |
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gexp_d = (IMAX+isat_d)/vt; |
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end else begin |
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vexp_d = -1e9; |
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gexp_d = 0; |
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end |
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cbs0 = np*ns*CJ*AS; |
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cbd0 = np*ns*CJ*AD; |
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cbs0sw = np*ns*CJSW*PS; |
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cbd0sw = np*ns*CJSW*PD; |
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cgso = np*ns*CGSO*weff; |
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cgdo = np*ns*CGDO*weff; |
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cgbo = np*ns*CGBO*leff; |
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end // temperature dependent |
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begin //Bias-dependent model evaluation |
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vg = MTYPE*V(g,b); |
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vd = MTYPE*V(di,b); |
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vs = MTYPE*V(si,b); |
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// $strobe("vg=%e vd=%e vs=%e",vg,vd,vs); |
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if (vd>=vs) |
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mode = 1; |
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else begin |
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mode = -1; |
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tmp = vs; |
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vs = vd; |
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vd = tmp; |
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end |
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// eq. 33 |
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vgprime = vg-vto_a-dvrsce+phi+gamma_a*sqrt(phi); |
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// eq. 35 |
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|
vsprime = 0.5*(vs+phi+sqrt(`SQR(vs+phi)+16*`SQR(vt))); |
||||
|
vdprime = 0.5*(vd+phi+sqrt(`SQR(vd+phi)+16*`SQR(vt))); |
||||
|
// $strobe("vgprime=%e vdprime=%e vsprime=%e",vgprime,vdprime,vsprime); |
||||
|
// eq. 34 |
||||
|
if (vgprime>=0) begin |
||||
|
vp0 = vgprime-phi-gamma_a*(sqrt(vgprime+0.25*`SQR(gamma_a))-0.5*gamma_a); |
||||
|
// eq. 36 |
||||
|
gamma0 = gamma_a-`EPSSI/COX*(LETA/leff*(sqrt(vsprime)+sqrt(vdprime))-3*WETA/weff*sqrt(vp0+phi)); |
||||
|
end else begin |
||||
|
vp0 = -phi; |
||||
|
// eq. 36 - skipped sqrt(vp0+phi) here, it produces inf on derivative |
||||
|
gamma0 = gamma_a-`EPSSI/COX*(LETA/leff*(sqrt(vsprime)+sqrt(vdprime)) ); |
||||
|
end |
||||
|
// eq. 37 |
||||
|
gammaprime = 0.5*(gamma0+sqrt(`SQR(gamma0)+0.1*vt)); |
||||
|
// eq. 38 |
||||
|
if (vgprime>=0) |
||||
|
vp = vgprime-phi-gammaprime*(sqrt(vgprime+0.25*`SQR(gammaprime))-0.5*gammaprime); |
||||
|
else |
||||
|
vp = -phi; |
||||
|
// $strobe("vp0=%e vp=%e gamma0=%e gammaprime=%e",vp0,vp,gamma0,gammaprime); |
||||
|
// eq. 39 |
||||
|
n = 1+gamma_a*0.5/sqrt(vp+phi+4*vt); |
||||
|
|
||||
// **************************************************************** |
|
||||
// * EKV MOS model (long channel) based on version 2.6 rev.15 |
|
||||
// * Function name : ekv26_dc_long for verilog-a implementation |
|
||||
// * The model documetation: http://legwww.epfl.ch/ekv |
|
||||
// **************************************************************** |
|
||||
|
// Forward current (43-44) |
||||
|
fv=(vp-vs)/vt; |
||||
|
|
||||
|
if (fv >= -0.35) |
||||
|
z0=2.0/(1.3 + fv - ln(fv+1.6)); |
||||
|
|
||||
module ekv(d,g,s,b); |
|
||||
// |
|
||||
// Node definitions |
|
||||
// |
|
||||
inout d,g,s,b ; // external nodes |
|
||||
electrical d,g,s,b ; // external nodes |
|
||||
|
if (fv>=-15 && fv<-0.35) begin |
||||
|
`expl(-fv,tmp); |
||||
|
z0= 1.55 + tmp; |
||||
|
end else |
||||
|
z0=1; |
||||
|
|
||||
|
z1=(2.0 + z0) / (1.0 + fv + ln(z0)); |
||||
|
|
||||
|
if (fv > -15.0) |
||||
|
y=(1.0 + fv + ln(z1)) / (2.0 + z1); |
||||
|
else begin |
||||
|
`expl(-fv,tmp); |
||||
|
y= 1.0 / (2.0 + tmp); |
||||
|
end |
||||
|
|
||||
|
ifwd = y*(1.0 + y); |
||||
|
z0 = 1; |
||||
|
z1 = 1; |
||||
|
|
||||
|
// eq. 46 |
||||
|
vdss = vc*(sqrt(0.25+vt/vc*sqrt(ifwd))-0.5); |
||||
|
// eq. 47 |
||||
|
vdssprime = vc*(sqrt(0.25+vt/vc*(sqrt(ifwd)-0.75*ln(ifwd)))-0.5)+vt*(ln(0.5*vc/vt)-0.6); |
||||
|
// $strobe("ifwd=%e vdss=%e vdssprime=%e",ifwd,vdss,vdssprime); |
||||
|
// eq. 48 |
||||
|
dv = 4*vt*sqrt(LAMBDA*(sqrt(ifwd)-vdss/vt)+1.0/64); |
||||
|
// eq. 49 |
||||
|
vds = 0.5*(vd-vs); |
||||
|
// eq. 50 |
||||
|
vip = sqrt(`SQR(vdss)+`SQR(dv))-sqrt(`SQR(vds-vdss)+`SQR(dv)); |
||||
|
// eq. 52 |
||||
|
dl = LAMBDA*lc*ln(1+(vds-vip)/(lc*ucrit)); |
||||
|
|
||||
|
// eq. 53 |
||||
|
lprime = ns*leff-dl+(vds+vip)/ucrit; |
||||
|
// eq. 55 |
||||
|
leq = 0.5*(lprime+sqrt(`SQR(lprime)+`SQR(lmin))); |
||||
|
|
||||
//dw |
|
||||
real VT,Tamb,Tdev,Tnom,dT; |
|
||||
parameter real tnom = 27 `P(spice:name="tnom" info="Temperature for which parameters are valid" unit="C"); |
|
||||
parameter real dt = 0.0 `P(spice:name="dt" type="instance" info="Temperature change for particular transistor" unit="K"); |
|
||||
|
// eq. 56 |
||||
|
fv=(vp-vds-vs-sqrt(`SQR(vdssprime)+`SQR(dv))+sqrt(`SQR(vds-vdssprime)+`SQR(dv)))/vt; |
||||
|
|
||||
|
if (fv >= -0.35) |
||||
|
z0=2.0/(1.3 + fv - ln(fv+1.6)); |
||||
|
|
||||
// |
|
||||
//*** Local variables |
|
||||
// |
|
||||
real x, VG, VS, VD, VGprime, VP; |
|
||||
real beta, n, iff, ir, Ispec, Id; |
|
||||
// |
|
||||
//*** model parameter definitions |
|
||||
// |
|
||||
parameter real L = 10E-6 from[0.0:inf]; |
|
||||
parameter real W = 10E-6 from[0.0:inf]; |
|
||||
|
if (fv>=-15 && fv<-0.35) begin |
||||
|
`expl(-fv,tmp); |
||||
|
z0= 1.55 + tmp; |
||||
|
end else |
||||
|
z0=1; |
||||
|
|
||||
|
z1=(2.0 + z0) / (1.0 + fv + ln(z0)); |
||||
|
|
||||
|
if (fv > -15.0) |
||||
|
y=(1.0 + fv + ln(z1)) / (2.0 + z1); |
||||
|
else begin |
||||
|
`expl(-fv,tmp); |
||||
|
y= 1.0 / (2.0 + tmp); |
||||
|
end |
||||
|
|
||||
|
irprime = y*(1.0 + y); |
||||
|
z0 = 1; |
||||
|
z1 = 1; |
||||
|
|
||||
//*** Threshold voltage |
|
||||
// substrate effect parameters (long-channel) |
|
||||
parameter real VTO = 0.5 from[0.0:inf]; |
|
||||
parameter real GAMMA = 0.7 from[0.0:inf]; |
|
||||
parameter real PHI = 0.5 from[0.2:inf]; |
|
||||
|
// eq. 57 |
||||
|
fv=(vp-vd)/vt; |
||||
|
|
||||
|
if (fv >= -0.35) |
||||
|
z0=2.0/(1.3 + fv - ln(fv+1.6)); |
||||
|
|
||||
//*** Mobility parameters (long-channel) |
|
||||
parameter real KP = 20E-6 from[0.0:inf]; |
|
||||
parameter real THETA = 50.0E-3 from[0.0:inf]; |
|
||||
|
if (fv>=-15 && fv<-0.35) begin |
||||
|
`expl(-fv,tmp); |
||||
|
z0= 1.55 + tmp; |
||||
|
end else |
||||
|
z0=1; |
||||
|
|
||||
|
z1=(2.0 + z0) / (1.0 + fv + ln(z0)); |
||||
|
|
||||
|
if (fv > -15.0) |
||||
|
y=(1.0 + fv + ln(z1)) / (2.0 + z1); |
||||
|
else begin |
||||
|
`expl(-fv,tmp); |
||||
|
y= 1.0 / (2.0 + tmp); |
||||
|
end |
||||
|
|
||||
|
irev = y*(1.0 + y); |
||||
|
|
||||
analog begin // EKV v2.6 long-channel |
|
||||
|
// eq. 58 |
||||
|
beta0 = kp_a*np*weff/leq; |
||||
|
// eq. 59 |
||||
|
nau = (5+MTYPE)/12.0; |
||||
|
|
||||
//dw |
|
||||
Tnom = tnom+273.15; |
|
||||
Tamb = $temperature; |
|
||||
Tdev = Tamb+dt; // selfheating instead dT later possible |
|
||||
// Limit temperature to avoid FPE's in equations |
|
||||
if(Tdev < `TMIN + 273.15) |
|
||||
Tdev = `TMIN + 273.15; |
|
||||
else |
|
||||
if (Tdev > `TMAX + 273.15) |
|
||||
Tdev = `TMAX + 273.15; |
|
||||
|
// eq. 69 |
||||
|
nq = 1+0.5*gamma_a/sqrt(vp+phi+1e-6); |
||||
|
|
||||
|
// eq. 70 |
||||
|
xf = sqrt(0.25+ifwd); |
||||
|
// eq. 71 |
||||
|
xr = sqrt(0.25+irev); |
||||
|
// eq. 72 |
||||
|
qd = -nq*(4.0/15*(3*`SQR(xr)*(xr+2*xf)+2*`SQR(xf)*(xf+2*xr))/`SQR(xf+xr)-0.5); |
||||
|
// eq. 73 |
||||
|
qs = -nq*(4.0/15*(3*`SQR(xf)*(xf+2*xr)+2*`SQR(xr)*(xr+2*xf))/`SQR(xf+xr)-0.5); |
||||
|
// eq. 74 |
||||
|
qi = qs+qd; |
||||
|
// eq. 75 |
||||
|
if (vgprime>=0) |
||||
|
qb = (-gamma_a*sqrt(vp+phi+1e-6))/vt-(nq-1)/nq*qi; |
||||
|
else |
||||
|
qb = -vgprime/vt; |
||||
|
// eq. 76 (qox removed since it is assumed to be zero) |
||||
|
qg = -qi-qb; |
||||
|
|
||||
VT = `P_K*Tdev /`P_Q; |
|
||||
|
if (E0!=0) begin |
||||
|
// eq. 61 |
||||
|
beta0prime = beta0*(1+COX/(E0*`EPSSI)*qb0); |
||||
|
// eq. 62 |
||||
|
beta = beta0prime/(1+COX/(E0*`EPSSI)*vt*abs(qb+nau*qi)); |
||||
|
end else begin |
||||
|
// eq. 63 |
||||
|
vpprime = 0.5*(vp+sqrt(`SQR(vp)+2*`SQR(vt))); |
||||
|
// eq. 64 |
||||
|
beta = beta0/(1+THETA*vpprime); |
||||
|
end // else: !if(e0!=0) |
||||
|
// eq. 65 |
||||
|
is = 2*n*beta*`SQR(vt); |
||||
|
// $strobe("beta0=%e beta0prime=%e beta=%e E0=%e qb0=%e qb=%e qi=%e",beta0,beta0prime,beta,E0,qb0,qb,qi); |
||||
|
// eq. 66 |
||||
|
ids = is*(ifwd-irprime); |
||||
|
// eq. 67 |
||||
|
vib = vd-vs-IBN*2*vdss; |
||||
|
// eq. 68 |
||||
|
if (vib>0) begin |
||||
|
`expl((-ibb*lc)/vib,tmp) |
||||
|
idb = ids*IBA/ibb*vib*tmp; |
||||
|
end else |
||||
|
idb = 0; |
||||
|
// $strobe("ids=%e idb=%e",ids,idb); |
||||
|
|
||||
|
if (mode>1) begin |
||||
|
if (isat_s>0) begin |
||||
|
if (-vs>vexp_s) |
||||
|
ibsj = IMAX+gexp_s*(-vs-vexp_s); |
||||
|
else begin |
||||
|
`expl(-vs/vt,tmp); |
||||
|
ibsj = isat_s*(tmp-1); |
||||
|
end |
||||
|
end else |
||||
|
ibsj = 0; |
||||
|
|
||||
|
if (isat_d>0) begin |
||||
|
if (-vd>vexp_d) |
||||
|
ibdj = IMAX+gexp_d*(-vd-vexp_d); |
||||
|
else begin |
||||
|
`expl(-vd/vt,tmp); |
||||
|
ibdj = isat_d*(tmp-1); |
||||
|
end |
||||
|
end else |
||||
|
ibdj = 0; |
||||
|
|
||||
|
end else begin // if (mode>1) |
||||
|
if (isat_s>0) begin |
||||
|
if (-vd>vexp_s) |
||||
|
ibsj = IMAX+gexp_s*(-vd-vexp_s); |
||||
|
else begin |
||||
|
`expl(-vd/vt,tmp); |
||||
|
ibsj = isat_s*(tmp-1); |
||||
|
end |
||||
|
end else |
||||
|
ibsj = 0; |
||||
|
|
||||
|
if (isat_d>0) begin |
||||
|
if (-vs>vexp_d) |
||||
|
ibdj = IMAX+gexp_d*(-vs-vexp_d); |
||||
|
else begin |
||||
|
`expl(-vs/vt,tmp); |
||||
|
ibdj = isat_d*(tmp-1); |
||||
|
end |
||||
|
end else |
||||
|
ibdj = 0; |
||||
|
|
||||
|
end // else: !if(mode>1) |
||||
|
|
||||
VG = V(g); VS = V(s); VD = V(d); |
|
||||
|
qdt = coxt*vt*qd; |
||||
|
qst = coxt*vt*qs; |
||||
|
qgt = coxt*vt*qg; |
||||
|
qbt = coxt*vt*qb; |
||||
|
|
||||
// Effective gate voltage (33) |
|
||||
VGprime = VG - VTO + PHI + GAMMA * sqrt(PHI); |
|
||||
|
cbs = 0; |
||||
|
cbd = 0; |
||||
|
|
||||
|
if (cbs0>0) begin |
||||
|
if (MTYPE*V(b,si)>FC*PB) |
||||
|
cbs = cbs+cbs0/pow(1-FC,MJ)*(1+MJ*(MTYPE*V(b,si)-PB*FC))/(PB*(1-FC)); |
||||
|
else |
||||
|
cbs = cbs+cbs0/pow(1-MTYPE*V(b,si),MJ); |
||||
|
end |
||||
|
if (cbd0>0) begin |
||||
|
if (MTYPE*V(b,di)>FC*PB) |
||||
|
cbd = cbd+cbd0/pow(1-FC,MJ)*(1+MJ*(MTYPE*V(b,di)-PB*FC))/(PB*(1-FC)); |
||||
|
else |
||||
|
cbd = cbd+cbd0/pow(1-MTYPE*V(b,di),MJ); |
||||
|
end |
||||
|
if (cbs0sw>0) begin |
||||
|
if (MTYPE*V(b,si)>FCSW*PBSW) |
||||
|
cbs = cbs+cbs0sw/pow(1-FCSW,MJSW)*(1+MJSW*(MTYPE*V(b,si)-PBSW*FCSW))/(PBSW*(1-FCSW)); |
||||
|
else |
||||
|
cbs = cbs+cbs0sw/pow(1-MTYPE*V(b,si),MJSW); |
||||
|
end |
||||
|
if (cbd0sw>0) begin |
||||
|
if (MTYPE*V(b,di)>FCSW*PBSW) |
||||
|
cbd = cbd+cbd0sw/pow(1-FCSW,MJSW)*(1+MJSW*(MTYPE*V(b,di)-PBSW*FCSW))/(PBSW*(1-FCSW)); |
||||
|
else |
||||
|
cbd = cbd+cbd0sw/pow(1-MTYPE*V(b,di),MJSW); |
||||
|
end |
||||
|
|
||||
|
end //Bias-dependent model evaluation |
||||
|
|
||||
// Pinch-off voltage (34) |
|
||||
VP = VGprime - PHI - GAMMA |
|
||||
* (sqrt(VGprime+(GAMMA/2.0)*(GAMMA/2.0))-(GAMMA/2.0)); |
|
||||
|
begin //Define branch sources |
||||
|
|
||||
// Slope factor (39) |
|
||||
n = 1.0 + GAMMA / (2.0*sqrt(PHI + VP + 4.0*VT)); |
|
||||
|
I(di,si) <+ MTYPE*mode*ids; |
||||
|
if (mode>0) begin |
||||
|
I(di,b) <+ MTYPE*idb; |
||||
|
|
||||
// Mobility equation (58), (64) |
|
||||
beta = KP * (W/L) * (1.0/(1.0 + THETA * VP)); |
|
||||
|
I(di,g) <+ MTYPE*ddt(qdt); |
||||
|
I(si,g) <+ MTYPE*ddt(qst); |
||||
|
|
||||
|
end else begin |
||||
|
I(si,b) <+ MTYPE*idb; |
||||
|
|
||||
// forward (44) and reverse (56) currents |
|
||||
x=(VP-VS)/VT; iff = (ln(1.0+exp( x /2.0)))*(ln(1.0+exp( x /2.0))); |
|
||||
x=(VP-VD)/VT; ir = (ln(1.0+exp( x /2.0)))*(ln(1.0+exp( x /2.0))); |
|
||||
|
I(si,g) <+ MTYPE*ddt(qdt); |
||||
|
I(di,g) <+ MTYPE*ddt(qst); |
||||
|
|
||||
|
end // else: !if(mode>0) |
||||
|
|
||||
// Specific current (65) |
|
||||
Ispec = 2 * n * beta * VT * VT; |
|
||||
|
I(b,si) <+ MTYPE*ibsj; |
||||
|
I(b,di) <+ MTYPE*ibdj; |
||||
|
|
||||
|
I(b,g) <+ MTYPE*ddt(qbt); |
||||
|
|
||||
|
I(g,si) <+ cgso*ddt(V(g,si)); |
||||
|
I(g,di) <+ cgdo*ddt(V(g,di)); |
||||
|
I(g,b) <+ cgbo*ddt(V(g,b)); |
||||
|
|
||||
|
if (RD>0) |
||||
|
I(d,di) <+ V(d,di)/rd; |
||||
|
else |
||||
|
V(d,di) <+ 0.0; |
||||
|
if (RS>0) |
||||
|
I(s,si) <+ V(s,si)/rs; |
||||
|
else |
||||
|
V(s,si) <+ 0.0; |
||||
|
|
||||
// Drain current (66) |
|
||||
Id = Ispec * (iff - ir); |
|
||||
|
I(b,si) <+ cbs*ddt(V(b,si)); |
||||
|
I(b,di) <+ cbd*ddt(V(b,di)); |
||||
|
|
||||
|
end // begin |
||||
|
|
||||
// |
|
||||
// Branch contributions to EKV v2.6 model (long-channel) |
|
||||
// |
|
||||
I(d,s) <+ Id; |
|
||||
|
// `NOISE begin //Define noise sources |
||||
|
// |
||||
|
// end // noise |
||||
|
|
||||
|
end //analog |
||||
|
|
||||
end // analog |
|
||||
endmodule |
|
||||
|
endmodule |
||||
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