{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sympy import *\n", "init_printing()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://een.iust.ac.ir/profs/Abrishamifar/Analog%20Integrated%20Circuit%20Design/Data%20For%20Design/Useful%20equations/Equations.pdf" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\left ( I_{D}, \\quad W, \\quad L, \\quad V_{DS}, \\quad V_{GS}, \\quad V_{thn}, \\quad V_{An}, \\quad k_{n'}\\right )$$" ], "text/plain": [ "(I_D, W, L, V_DS, V_GS, Vₜₕₙ, V_An, k_n')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Id, W,L, VDS, VGS, Vnth, VnA, nTechConst=symbols(\"I_D, W, L, V_DS, V_GS, V_thn, V_An, k_n'\")\n", "Id, W,L, VDS, VGS, Vnth, VnA, nTechConst" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{n'}}{L} \\left(1 + \\frac{V_{DS}}{V_{An}}\\right) \\left(- \\frac{V_{DS}^{2}}{2} + V_{DS} \\left(V_{GS} - V_{thn}\\right)\\right)$$" ], "text/plain": [ " ⎛ 2 ⎞\n", " ⎛ V_DS⎞ ⎜ V_DS ⎟\n", "W⋅k_n'⋅⎜1 + ────⎟⋅⎜- ───── + V_DS⋅(V_GS - Vₜₕₙ)⎟\n", " ⎝ V_An⎠ ⎝ 2 ⎠\n", "────────────────────────────────────────────────\n", " L " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NLinFull=nTechConst*(W/L)*((VGS-Vnth)*VDS-VDS**2/2)*(1+VDS/VnA)\n", "NLinFull" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{n'}}{L} \\left(- \\frac{V_{DS}^{2}}{2} + V_{DS} \\left(V_{GS} - V_{thn}\\right)\\right)$$" ], "text/plain": [ " ⎛ 2 ⎞\n", " ⎜ V_DS ⎟\n", "W⋅k_n'⋅⎜- ───── + V_DS⋅(V_GS - Vₜₕₙ)⎟\n", " ⎝ 2 ⎠\n", "─────────────────────────────────────\n", " L " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NLinSimp=nTechConst*(W/L)*((VGS-Vnth)*VDS-VDS**2/2)\n", "NLinSimp" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{n'}}{2 L} \\left(1 + \\frac{V_{DS}}{V_{An}}\\right) \\left(V_{GS} - V_{thn}\\right)^{2}$$" ], "text/plain": [ " ⎛ V_DS⎞ 2\n", "W⋅k_n'⋅⎜1 + ────⎟⋅(V_GS - Vₜₕₙ) \n", " ⎝ V_An⎠ \n", "────────────────────────────────\n", " 2⋅L " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NSatFull=nTechConst/2*W/L*(VGS-Vnth)**2 *(1+VDS/VnA)\n", "NSatFull" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{n'}}{2 L} \\left(V_{GS} - V_{thn}\\right)^{2}$$" ], "text/plain": [ " 2\n", "W⋅k_n'⋅(V_GS - Vₜₕₙ) \n", "─────────────────────\n", " 2⋅L " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NSatSimp=nTechConst/2*W/L*(VGS-Vnth)**2\n", "NSatSimp" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\begin{cases} 0 & \\text{for}\\: V_{GS} < V_{thn} \\\\\\frac{W k_{n'}}{L} \\left(1 + \\frac{V_{DS}}{V_{An}}\\right) \\left(- \\frac{V_{DS}^{2}}{2} + V_{DS} \\left(V_{GS} - V_{thn}\\right)\\right) & \\text{for}\\: V_{GS} \\geq V_{thn} \\wedge V_{DS} < V_{GS} - V_{thn} \\\\\\frac{W k_{n'}}{2 L} \\left(1 + \\frac{V_{DS}}{V_{An}}\\right) \\left(V_{GS} - V_{thn}\\right)^{2} & \\text{for}\\: V_{DS} \\geq V_{GS} - V_{thn} \\wedge V_{GS} \\geq V_{thn} \\end{cases}$$" ], "text/plain": [ "⎧ 0 for V_GS < Vₜₕₙ \n", "⎪ \n", "⎪ ⎛ 2 ⎞ \n", "⎪ ⎛ V_DS⎞ ⎜ V_DS ⎟ \n", "⎪W⋅k_n'⋅⎜1 + ────⎟⋅⎜- ───── + V_DS⋅(V_GS - Vₜₕₙ)⎟ \n", "⎪ ⎝ V_An⎠ ⎝ 2 ⎠ \n", "⎪──────────────────────────────────────────────── for V_GS ≥ Vₜₕₙ ∧ V_DS < V_\n", "⎨ L \n", "⎪ \n", "⎪ ⎛ V_DS⎞ 2 \n", "⎪ W⋅k_n'⋅⎜1 + ────⎟⋅(V_GS - Vₜₕₙ) \n", "⎪ ⎝ V_An⎠ \n", "⎪ ──────────────────────────────── for V_DS ≥ V_GS - Vₜₕₙ ∧ V_\n", "⎪ 2⋅L \n", "⎩ \n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", "GS - Vₜₕₙ\n", " \n", " \n", " \n", " \n", " \n", "GS ≥ Vₜₕₙ\n", " \n", " " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NIdFull=Piecewise(\n", " (0, VGS=Vnth, VDS=Vnth, VDS>=VGS-Vnth))\n", ")\n", "NIdFull" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\begin{cases} 0 & \\text{for}\\: V_{GS} < V_{thn} \\\\\\frac{W k_{n'}}{L} \\left(- \\frac{V_{DS}^{2}}{2} + V_{DS} \\left(V_{GS} - V_{thn}\\right)\\right) & \\text{for}\\: V_{GS} \\geq V_{thn} \\wedge V_{DS} < V_{GS} - V_{thn} \\\\\\frac{W k_{n'}}{2 L} \\left(V_{GS} - V_{thn}\\right)^{2} & \\text{for}\\: V_{DS} \\geq V_{GS} - V_{thn} \\wedge V_{GS} \\geq V_{thn} \\end{cases}$$" ], "text/plain": [ "⎧ 0 for V_GS < Vₜₕₙ \n", "⎪ \n", "⎪ ⎛ 2 ⎞ \n", "⎪ ⎜ V_DS ⎟ \n", "⎪W⋅k_n'⋅⎜- ───── + V_DS⋅(V_GS - Vₜₕₙ)⎟ \n", "⎪ ⎝ 2 ⎠ \n", "⎨───────────────────────────────────── for V_GS ≥ Vₜₕₙ ∧ V_DS < V_GS - Vₜₕₙ\n", "⎪ L \n", "⎪ \n", "⎪ 2 \n", "⎪ W⋅k_n'⋅(V_GS - Vₜₕₙ) \n", "⎪ ───────────────────── for V_DS ≥ V_GS - Vₜₕₙ ∧ V_GS ≥ Vₜₕₙ\n", "⎩ 2⋅L " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NIdSimp=Piecewise(\n", " (0, VGS=Vnth, VDS=Vnth, VDS>=VGS-Vnth))\n", ")\n", "NIdSimp" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$V_{GS} < V_{thn}$$" ], "text/plain": [ "V_GS < Vₜₕₙ" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NCutoffCond=VGS=VGS-Vnth; NSatCond" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{n'}}{L} \\left(1 + \\frac{V_{DS}}{V_{An}}\\right) \\left(- \\frac{V_{DS}^{2}}{2} + V_{DS} \\left(V_{GS} - V_{thn}\\right)\\right)$$" ], "text/plain": [ " ⎛ 2 ⎞\n", " ⎛ V_DS⎞ ⎜ V_DS ⎟\n", "W⋅k_n'⋅⎜1 + ────⎟⋅⎜- ───── + V_DS⋅(V_GS - Vₜₕₙ)⎟\n", " ⎝ V_An⎠ ⎝ 2 ⎠\n", "────────────────────────────────────────────────\n", " L " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NLinFull.subs({})" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "class NMOS():\n", " def __init__():\n", " pass\n", " \n", " @staticmethod\n", " def LinFull(subs={}):\n", " return NLinFull.subs(subs)\n", " \n", " @staticmethod\n", " def LinSimp(subs={}):\n", " return NLinSimp.subs(subs)\n", " \n", " @staticmethod\n", " def SatFull(subs={}):\n", " return NSatFull.subs(subs)\n", " \n", " @staticmethod\n", " def IdFull(subs={}):\n", " return NIdFull.subs(subs)\n", " \n", " @staticmethod\n", " def IdSimp(subs={}):\n", " return NIdSimp.subs(subs)\n", " \n", " @staticmethod\n", " def CutoffCond(subs={}):\n", " return NCutoffCond.subs(subs)\n", " \n", " @staticmethod\n", " def LinearCond(subs={}):\n", " return NLinearCond.subs(subs)\n", " \n", " @staticmethod\n", " def SatCond(subs={}):\n", " return NSatCond.subs(subs)" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "NMOS.LinFull(subs={VnA:5})" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "print(NMOS.LinFull())\n", "print(NMOS.LinSimp())\n", "print(NMOS.SatFull())\n", "print(NMOS.IdFull())\n", "print(NMOS.IdSimp())\n", "print(NMOS.CutoffCond())\n", "print(NMOS.LinearCond())\n", "print(NMOS.SatCond())" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\left ( V_{SD}, \\quad V_{SG}, \\quad V_{thp}, \\quad V_{Ap}, \\quad k_{p'}\\right )$$" ], "text/plain": [ "(V_SD, V_SG, Vₜₕₚ, V_Ap, k_p')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "VSD, VSG, Vpth, VpA, pTechConst=symbols(\"V_SD, V_SG, V_thp, V_Ap, k_p'\")\n", "VSD, VSG, Vpth, VpA, pTechConst" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{p'}}{L} \\left(- \\frac{V_{SD}^{2}}{2} + V_{SD} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)\\right) \\left(\\frac{V_{SD}}{\\left|{V_{Ap}}\\right|} + 1\\right)$$" ], "text/plain": [ " ⎛ 2 ⎞ \n", " ⎜ V_SD ⎟ ⎛ V_SD ⎞\n", "W⋅k_p'⋅⎜- ───── + V_SD⋅(V_SG - │Vₜₕₚ│)⎟⋅⎜────── + 1⎟\n", " ⎝ 2 ⎠ ⎝│V_Ap│ ⎠\n", "────────────────────────────────────────────────────\n", " L " ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PLinFull=pTechConst*(W/L)*((VSG-abs(Vpth))*VSD-VSD**2/2)*(1+VSD/abs(VpA))\n", "PLinFull" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{p'}}{L} \\left(- \\frac{V_{SD}^{2}}{2} + V_{SD} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)\\right)$$" ], "text/plain": [ " ⎛ 2 ⎞\n", " ⎜ V_SD ⎟\n", "W⋅k_p'⋅⎜- ───── + V_SD⋅(V_SG - │Vₜₕₚ│)⎟\n", " ⎝ 2 ⎠\n", "───────────────────────────────────────\n", " L " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PLinSimp=pTechConst*(W/L)*((VSG-abs(Vpth))*VSD-VSD**2/2)\n", "PLinSimp" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{p'}}{2 L} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)^{2} \\left(\\frac{V_{SD}}{\\left|{V_{Ap}}\\right|} + 1\\right)$$" ], "text/plain": [ " 2 ⎛ V_SD ⎞\n", "W⋅k_p'⋅(V_SG - │Vₜₕₚ│) ⋅⎜────── + 1⎟\n", " ⎝│V_Ap│ ⎠\n", "────────────────────────────────────\n", " 2⋅L " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PSatFull=pTechConst/2*W/L*(VSG-abs(Vpth))**2 *(1+VSD/abs(VpA))\n", "PSatFull" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\frac{W k_{p'}}{2 L} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)^{2}$$" ], "text/plain": [ " 2\n", "W⋅k_p'⋅(V_SG - │Vₜₕₚ│) \n", "───────────────────────\n", " 2⋅L " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PSatSimp=pTechConst/2*W/L*(VSG-abs(Vpth))**2\n", "PSatSimp" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\begin{cases} 0 & \\text{for}\\: V_{SG} < \\left|{V_{thp}}\\right| \\\\\\frac{W k_{p'}}{L} \\left(- \\frac{V_{SD}^{2}}{2} + V_{SD} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)\\right) \\left(\\frac{V_{SD}}{\\left|{V_{Ap}}\\right|} + 1\\right) & \\text{for}\\: V_{SG} \\geq \\left|{V_{thp}}\\right| \\wedge V_{SD} < V_{SG} - \\left|{V_{thp}}\\right| \\\\\\frac{W k_{p'}}{2 L} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)^{2} \\left(\\frac{V_{SD}}{\\left|{V_{Ap}}\\right|} + 1\\right) & \\text{for}\\: V_{SD} \\geq V_{SG} - \\left|{V_{thp}}\\right| \\wedge V_{SG} \\geq \\left|{V_{thp}}\\right| \\end{cases}$$" ], "text/plain": [ "⎧ 0 for V_SG < │\n", "⎪ \n", "⎪ ⎛ 2 ⎞ \n", "⎪ ⎜ V_SD ⎟ ⎛ V_SD ⎞ \n", "⎪W⋅k_p'⋅⎜- ───── + V_SD⋅(V_SG - │Vₜₕₚ│)⎟⋅⎜────── + 1⎟ \n", "⎪ ⎝ 2 ⎠ ⎝│V_Ap│ ⎠ \n", "⎪──────────────────────────────────────────────────── for V_SG ≥ │Vₜₕₚ│ ∧ V_S\n", "⎨ L \n", "⎪ \n", "⎪ 2 ⎛ V_SD ⎞ \n", "⎪ W⋅k_p'⋅(V_SG - │Vₜₕₚ│) ⋅⎜────── + 1⎟ \n", "⎪ ⎝│V_Ap│ ⎠ \n", "⎪ ──────────────────────────────────── for V_SD ≥ V_SG - │Vₜₕₚ\n", "⎪ 2⋅L \n", "⎩ \n", "\n", "Vₜₕₚ│ \n", " \n", " \n", " \n", " \n", " \n", "D < V_SG - │Vₜₕₚ│\n", " \n", " \n", " \n", " \n", " \n", "│ ∧ V_SG ≥ │Vₜₕₚ│\n", " \n", " " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PIdFull=Piecewise(\n", " (0, VSG=abs(Vpth), VSD=abs(Vpth), VSD>=VSG-abs(Vpth)))\n", ")\n", "PIdFull" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$\\begin{cases} 0 & \\text{for}\\: V_{SG} < \\left|{V_{thp}}\\right| \\\\\\frac{W k_{p'}}{L} \\left(- \\frac{V_{SD}^{2}}{2} + V_{SD} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)\\right) & \\text{for}\\: V_{SG} \\geq \\left|{V_{thp}}\\right| \\wedge V_{SD} < V_{SG} - \\left|{V_{thp}}\\right| \\\\\\frac{W k_{p'}}{2 L} \\left(V_{SG} - \\left|{V_{thp}}\\right|\\right)^{2} & \\text{for}\\: V_{SD} \\geq V_{SG} - \\left|{V_{thp}}\\right| \\wedge V_{SG} \\geq \\left|{V_{thp}}\\right| \\end{cases}$$" ], "text/plain": [ "⎧ 0 for V_SG < │Vₜₕₚ│ \n", "⎪ \n", "⎪ ⎛ 2 ⎞ \n", "⎪ ⎜ V_SD ⎟ \n", "⎪W⋅k_p'⋅⎜- ───── + V_SD⋅(V_SG - │Vₜₕₚ│)⎟ \n", "⎪ ⎝ 2 ⎠ \n", "⎨─────────────────────────────────────── for V_SG ≥ │Vₜₕₚ│ ∧ V_SD < V_SG - │V\n", "⎪ L \n", "⎪ \n", "⎪ 2 \n", "⎪ W⋅k_p'⋅(V_SG - │Vₜₕₚ│) \n", "⎪ ─────────────────────── for V_SD ≥ V_SG - │Vₜₕₚ│ ∧ V_SG ≥ │V\n", "⎩ 2⋅L \n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", "ₜₕₚ│\n", " \n", " \n", " \n", " \n", "ₜₕₚ│\n", " " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PIdSimp=Piecewise(\n", " (0, VSG=abs(Vpth), VSD=abs(Vpth), VSD>=VSG-abs(Vpth)))\n", ")\n", "PIdSimp" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$$V_{SG} < \\left|{V_{thp}}\\right|$$" ], "text/plain": [ "V_SG < │Vₜₕₚ│" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PCutoffCond=VSG=VSG-abs(Vpth); PSatCond" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "class PMOS():\n", " def __init__():\n", " pass\n", " \n", " @staticmethod\n", " def LinFull(subs={}):\n", " return PLinFull.subs(subs)\n", " \n", " @staticmethod\n", " def LinSimp(subs={}):\n", " return PLinSimp.subs(subs)\n", " \n", " @staticmethod\n", " def SatFull(subs={}):\n", " return PSatFull.subs(subs)\n", " \n", " @staticmethod\n", " def IdFull(subs={}):\n", " return PIdFull.subs(subs)\n", " \n", " @staticmethod\n", " def IdSimp(subs={}):\n", " return PIdSimp.subs(subs)\n", " \n", " @staticmethod\n", " def CutoffCond(subs={}):\n", " return PCutoffCond.subs(subs)\n", " \n", " @staticmethod\n", " def LinearCond(subs={}):\n", " return PLinearCond.subs(subs)\n", " \n", " @staticmethod\n", " def SatCond(subs={}):\n", " return PSatCond.subs(subs)" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "print(PMOS.LinFull(subs={VpA:5}))\n", "print(PMOS.LinSimp())\n", "print(PMOS.SatFull())\n", "print(PMOS.IdFull())\n", "print(PMOS.IdSimp())\n", "print(PMOS.CutoffCond())\n", "print(PMOS.LinearCond())\n", "print(PMOS.SatCond())" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }