ism-transceiver-915mhz/sim/lo-amplifier-15db.ipynb

787 lines
850 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"import skrf\n",
"import skrf.media as media\n",
"import skrf.frequency as freq\n",
"import skrf.network as net\n",
"import skrf.util\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = [10, 10]\n",
"\n",
"f = freq.Frequency(0.4, 2, 1001)\n",
"tem = media.DistributedCircuit(f, z0=50)\n",
"\n",
"bjt = net.Network('BFU520_Spar_NF_400MHz-2GHz/BFU520_05V0_020mA_NF_SP.s2p').interpolate(f)\n",
"\n",
"bjt\n",
"\n",
"bjt.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3.6140400937211887, (3.1801811635684145+3.261206811652097j))"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# calculate the stability circles for the source and load impedances\n",
"\n",
"idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n",
"\n",
"sqabs = lambda x: np.square(np.absolute(x))\n",
"\n",
"delta = bjt.s11.s*bjt.s22.s - bjt.s12.s*bjt.s21.s\n",
"rl = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s22.s) - sqabs(delta)))\n",
"cl = np.conj(bjt.s22.s - delta*np.conj(bjt.s11.s))/(sqabs(bjt.s22.s) - sqabs(delta))\n",
"\n",
"rl_900mhz = rl[idx_900mhz][0, 0]\n",
"cl_900mhz = cl[idx_900mhz][0, 0]\n",
"\n",
"rl_900mhz, cl_900mhz"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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koqioiBefLCcnB3NzcxgZGcHb2xtZWVkIDw8XuhzvotNJo7y8HAUFBSgpKYGOjg5v60tJSanP6xsbG+H/IBLHXlEgOkocSxVK8NmiWTAzMwPw9qW1Zs0aPHjwAIGBgZg2bdpQ3JYg+e9VXDabjd27d+Ovv/6Cr68vFi1a1O2cuLg4ZGRkYOPGjQJbaxYXFyM4OBiGhoaYPn260APo6XQ6Xr16hby8PJSWlkJPT4/nofT3F1JgYCC++uqr99JAxWQyUVxczHvhyMjIwNzcHDY2NlBXV+/1uvjsEmz0TQdFhOD6506wM9XtctzT0xO//PILDh48iB07dnxI7rj/nYrb1NSEJUuWID8/HzExMTAxMenxPEIIgoKCwGKxsHz58kE9WAaDgUePHqGgoAALFy6EqanpgNvih6qqKiQmJiI7OxvGxsYYPXo0TE1Ne107dnR0QFlZGa9ever1+3gf6PQYy83NRXp6OlRUVODs7AxLS8tudoH6+nocPHcN9zvMIMph4M/pqlgwfWIXw1RUVBQvC+XZs2eHxBgoAP77FLe2thZubm6QkZFBbGzsO9dObDYbV65cgZmZ2YAzQ3aOssbGxpg9e7bQ1o1sNhvZ2dm8ROaOjo5wcHDg25VxwoQJmDlzZpclw/sMh8NBbm4ukpKSUFdXBwcHBzg6OvJmMf7+/lBXV4eCkS3WXIiHJJhYq12HT5ct7LKnS6VS4eLiAgsLC4SEhAyrKyuf/HcpbmVlJSZOnAh9fX08ffqU7y2B1tZWXLx4EXPnzu1X8vOhGmVpNBri4uKQlpYGDQ0NODs7w9zcvN9bHvv378fdu3eRlJQkFDmFSW1tLRITE5GZmQlDQ0OYmZkhMjISu3btgri4OBJLGrDOJwGqUsBM0WzMdBsPV1dX3nfU3t4OW1tbaGtr4+HDh3wFOgwj/z2KW1ZWhgkTJsDKympAHkIVFRW4ceMG1q1bBw0NjXeeX1paioCAAKGOsgwGA3FxcUhISIC1tTXGjx8PFRWVAbdXUVEBExMT1NTUDFvyusHCZDJ5XmDKysr45JNPeM8rtrAOn/+VCG0FCSxXroA4l4Fly5bxjF10Oh12dnZQUFDA48eP3+ftoqEpsznclJWVYfz48bC3tx+wW5+Ojg7mzp2LW7duob29vc9zk5OT4efnh3nz5mHRokUCV1o2m434+Hh4e3ujsbERW7Zswbx58waltMDbezQ0NMTNmzcFJOnQIy4uDn19fUhKSmLs2LHw9fVFYGAgmpqaMMFUFZc3jENlMxMBTfrQNR0NHx8flJSUAHhbqDwjIwPt7e2YMmUKWltbh/dmBskHPeJWVlbC2dkZjo6OCAoKGnR7jx8/Rnl5OT777LNurpAcDgfh4eEoLi7G6tWrB61I/4TL5SIzMxORkZFQV1fHjBkz+Br9+8NXX32FvLy892JbaKCEhoZCTk4OU6ZM6eKcYWtri0mTJiGzmo6NlxOhrSiJA3O0EP0wBFOmTOEF4rPZbNjb20NaWhqRkZHv47T5454q19TUYPz48bCwsMDDhw8F0iaXy4W/vz8oFAqWLVvGszS3t7fD398foqKiWLZsmcBHWSqViuDgYIiLi2PGjBlCywudkJCAmTNnorGxcci9twQBg8HAsWPH8OWXX3aZ6ra1tSEmJgaZmZmYPHkyoG6Gz68kQlNBEmeWW+LJ/QDo6+vD3d0doqKiYDKZsLW1hYaGBsLDw983g9XHq7gNDQ1wcXGBjo4OIiMjBdo2m83GtWvXoKGhgblz56K2tha3bt2ClZUVZsyYIVA/WDabjejoaKSmpmLOnDmwtrYW+n6jlpYWLly4gAULFgi1H2GQkJCAN2/eYMWKFT0er6+vR3BwMABA33EavvLPhbq8JP5ab48Xj8PAYDCwYsUKyMjIgE6nw9raGkZGRrh///77tFX0cSoui8XC5MmTweFwEB8fLxSHcjqdjsuXL0NTUxOFhYWYM2cObG1tBdoHlUpFYGAgVFRUMH/+/CHLULFq1SqMGjUK165dG1Q7bW1tvPq6/wxS+GcGyb9njuys6/vPrJGKiorv9GE+d+4cZs+eDSMjo17PIYTg5cuXiImJgfpoFxx6SYOanAR8N41Dfmo8Xr16hVWrVkFDQwPt7e2wtLTEzJkz4ePj8744aQx9mc2hYOfOnaioqEBhYaHQokAkJSVha2uLJ0+ewM3NTaBKOxyj7N/ZuHEjVq9eDRaLxbfvdGtraxd/48rKSnA4HCgqKnbLHiknJwdJSUlecIKIiEiPmSNbW1tRX1/PU/bGxkbIy8t3CUjQ0tLiKXNTUxNaWlreuYwQERGBi4sLzMzMEBwcjJWao+BXrYZV51/i2mYXqKur4+rVq/Dw8ICBgQHi4+MxZswYODg4YOfOnYP+foeKD2rEPXv2LH744QdkZGRAX19faP28fPkScXFxWLhwIQIDA7FgwQKBFOuqrq7G3bt3oaysjAULFgxbHihjY2Ps2bMHW7du7fE4g8Hg+T0XFxeDy+V2UygFBQWBvnC4XC5qa2u7pZlVUFCAqakpuFwu6HQ6li5d2q82ExIScPdpAh7STSEhLgbfTeMh0VGHu3fvYtmyZTA2NsbTp0+xcOFChIaGvg++zR/XVPnZs2dwd3dHYGCgUDNWvHjxAsnJyVi3bh0UFRV5e7yrVq2Cnp7egNvNyclBaGgoZs+eDVtb22Gdlv3+++8ICAhAWloa77Pm5mZeLqiysjLo6enBwsICpqamUFRUHBZ5uVwuqqqqkJ+fj7i4OACApaUlzM3N+3Tx/Cf19fU4c/0e7tRpAqJiuLJxHJRJC/z8/LBkyRKYmZnB09MTv//+O1JTU4c7qujjUdw3b95g7Nix2LNnD3788Ueh9fPixQukpqZi3bp1XZwUCgsLERgYiHXr1vXp+N4ThBDe1HjlypXQ1tYWtNj9pqWlBdra2nj69CmkpaWRlJSEmpoamJmZwcLCAiYmJu9FWtpOGAwGvLy8sHnzZpSUlCA/Px+lpaW8cqa6urrvfLEwmUxcuh2Ec/nioEMcPhucoS9Bx82bN3nK6+HhgZSUFKSmpg6ng8bHobg0Gg329vawtrZGQECA0PqJj49HQkICNmzY0KNnUWZmJh49eoR169bxnWqGyWQiMDAQbW1t8PDwGLap8T9pbm6Gh4cHOjo6sGnTJjg7O8PCwuK93SIqLCzEixcvsH79et5nHR0dSEtLQ1JSEsTExODk5ARbW9s+rcOEEARFROGPZ41ohSROf+oIS3kWbt68iWXLlsHQ0BBjx46Frq4u7t+/P1yZND58xeVyuVi8eDGKiorw6tUroX2RSUlJeP78OTZs2NBnfG5qaioiIyOxfv36dzpgNDU14datW9DS0sL8+fOHJYPkPykvL8fz58/x5s0byMvL4/vvvweVSn3vXSCfPXsGOp2O2bNndztGCEFxcTGSkpJQUlICW1tbTJw4sc97epn6Crv8c1HPlYLXSjvYKbHh5+cHDw8PqKiowMTEBJs3b8a+ffuEeVu9wd+ahN+yfqSXMpvC5I8//iBqamq91q8VBFlZWcTT05PU19fzdX5SUhLx8vLq8/zS0lJy5MgREhcXR7hcrqBEHTA1NTXk1q1bxMvLiyQkJBAGg0EIIcTW1pb88ccfwyzdu7l16xbJzMx853lNTU0kPDycHDx4kERERJD29vZezy0sKScTf75DDPaEkgvPikhRURE5dOgQqaqqIq9evSKysrLk3r17grwNfhma+rjCIj09nUhJSZH4+Hih9UGlUsmhQ4cIlUrt13WJiYnk6NGjpKGhodux169fk0OHDpH8/HxBiTlgmpqaSFBQEDl06BB5/vw5YTKZXY6fPn2aGBkZDZN0/HP06FG+X6yEENLc3EyCg4PJoUOHSExMTLf77qS+qZnM/v2t8v4ZmkXS0tPJsWPHCI1GI+fOnSMKCgqkpqZGULfBL3zp4ns5VWaxWLCxscGECRNw6dIlofTR1taGixcvYtasWRgzZky/r09MTMTz58+xfv16XvLywsJC3Lt3DytWrIChoaGAJeYfJpPJM4g5Ojpi4sSJPbr1sVgsaGho4Pr163B3dx8GSd9Ne3s7Tpw4gT179vTbsl1XV4fIyEiUlZVh2rRpsLOz69YGrb0D64+HIKlZBovttOGuXIcqagXWrl2LiRMnQktLC/fu3RPkLb2LD3eN++9//xs+Pj548+aNUNa1HA4Hf/31Fy/FzEBJTk7Gs2fPsG7dOjQ0NCAwMHDQ20aDpaSkBMHBwdDT08PMmTPfaR399ttvER0djZSUlCGSsH9UVFTg/v37+OKLLwbVRlhYGKSkpLBw4cJu5U7odDp2nArCk1pZuJmqYIZEMdSVFeDq6gojIyNcunRpKCsmfJiKm5GRARcXF0RHRwultCIhhJftceXKlYPen0xNTcWjR49ACMGaNWuGTWmZTCYeP36M3NxcLFiwAObm5nxdR6PRoKenhwsXLryX5Txyc3ORmpqK1atXD6odLpeLFy9eID4+HtOnT4eDg0OXZ89kMvH96bsIqZKDpZY8popkYfoEZyQnJ2PPnj0oKCgYqmoJH148LovFgoeHB1atWiW0eqiJiYmoqKjA0qVLBeJUoKysDA6HAwDD5lRRUlKCs2fPgslkYvv27XwrLQDIyMhg9+7d+OGHH8DlcoUo5cBoa2sTyDYahULBpEmTsH79eiQnJ+P69etobm7mHRcXF8eh7Z/AQ6sRhdWtCKKZ4d6TWMyZMweWlpaDGvGFAr+LYTIExqlff/2V6OrqEg6HI5T2i4qKyOHDh3s0Kg2EmpoacujQIVJUVETy8vKG3CjF5XLJ48ePiaenJ8nNzR1wO0wmk2hra5PTp08LUDrB8PTpUxIZGSnQNjkcDnn27Bk5dOhQt++to6OD/HLch1j/fJ9Y/xJGvvnPKVJUVETk5eWJv7+/QOXohQ/LqtxpRU5ISBBK+zQajRw5coQUFxcLpL329nZy/PhxkpqayvusrKyMHD58mKSlpQmkj76g0+nkxo0b5NKlS6StrW3Q7Z0+fZpoa2v3aoEdLoKDg0liYqJQ2i4vLyeenp7k2bNnXbbtWlpayC+HTpBJ/wknxj+Ekl1e18iZM2eGysrMly6+F1NlDoeDlStXCnWK/ODBA1785WDhcrm4c+cOLC0tYWdnx/tcV1cX69evR2RkJF68ePH2zSgEGhoa4OPjAzk5Oaxbt65LTaCBsnXrVkhLS+PgwYMCkFBwsNlsoVWA0NHRwZYtW5CXl4e7d++CxWIBAOTk5PDFmk8wm5IJB105BFcrIlfMDBaWlti2bZtQZOkv74VxytfXF9999x2qqqqEYkXOycnB48ePsW3bNoH8CB48eICGhgasXr26R3lbWlpw7do1mJiYYPbs2QJd+xYXFyMgIKBLOhZBcffuXWzZsgVlZWUCeRn0l46ODhQVFeH169egUqlgMBjIycmBkpIStLW1IS0tDQMDA5iYmEBPT09gLppsNhshISGora3FypUreVbnjIwMPImMQrHyOIRk1WOKkSzu/msJIh9HCG2AwYdiVWYwGNDX18fPP/8slHjI9vZ2nDlzBitWrBBIKGBKSgpiY2OxefPmPlOedHR04ObNm1BUVMTixYsF8iNLTU3FkydPsHz5cqHtEzs4OGDKlCk4evSoUNoH3vpKd85KUlJSUFBQgIaGBtDpdMjKykJRURGKiooQFxcHk8nkxfZ2dHSgsbERTU1NYDAYkJOTg4aGBkaPHg1nZ2dMnToV48aNG9B3TQhBXFwc4uPjsWbNGmhqagIAHj16hIoKKgpE9XE9iwZZRj1kU68jPkpo9YY/DMU9evQojh07hjdv3gi6aQBvRxFZWVmBlNUsLS3F7du3sXHjRr4CDVgsFm8Ktnz58kHVEEpISEBsbCzWrl0r8ER1fycqKgoLFy5ERkaGQJYVwNulxaNHj3Dz5k1ERkaisrISWlpasLS0hKOjIyZMmIDRo0dDT0+v24woICAApqam3ZIZ0Gg0FBUVIT09HbGxsUhLS0NBQQHa2tpgZWUFd3d3bNiwoV8WdgDIzs5GWFgYVq9eDR0dHXC5XNy8eRNKSkp4VtSMgEp5dDTV4veZWtj4iVBKtb7/vsotLS1ES0uL3Lp1S9DmrBosAAAgAElEQVRNE0IIyc7OJidOnBCIwYVGoxFPT89+W405HA55+PAhOXHixIANG7GxseTYsWMCs4a/Cw8PD+Li4jKoNjgcDvH39yfu7u5EQUGBqKmpkeXLl5Pbt2/3y5gWGBhIkpOT+T6/vLycHD58mEyaNIlIS0sTAwMDsmnTJpKdnc13G507BKWlpYSQt5Zmb29vEhsbS/7nPyeI+ff+xOC7ABKSVs53m/3g/bcq7927l9jZ2ZGjR4+StLQ0gW4DdVqR37x5I5D2/P39ycOHDwd8fUpKyoC2i16+fEmOHz9OmpqaBtx3f2ltbSUaGhrkyJEj/b62vr6e/Pjjj0RHR4eoqamRbdu2kbi4uAHLEhERQWJiYgZ0bUdHB7l58yaZP38+kZKSIs7OzuTq1at8/c4KCgrIoUOHSHn5W+WsqKgghw4dIqGhoeTH3/YTg83exGBPKDkSnks4HIEGkrzfiltdXU2kpaVJdHQ0efPmDfHx8SGnT58mubm5AomoCQoKIg8ePBCApIIbuUtLS4mnpyd5/vw5X/eYlJREjh49ShobGwfV70AIDg4msrKyfG+fFRUVkSVLlhBpaWmegrDZ7EHLERcXR8LCwgbdTucLRVtbm6irq5P//d//JR0dHX1ek5ubSw4fPkwqKysJm80mly5dIn/88Qc5ceIE+e5fe4jeJ3uIwZ5QsulKAmnpENg22vutuNu3bycODg68/+dyuSQ3N5ecOnWK+Pj4DGqk7HSMeNeD4QdBj9xNTU3k3Llz5O7du32+CPLz8/sVbigM+Jky19TUkLVr1xJpaWmyaNEi8urVK4HKkJmZSfz8/ATWHofDIX5+fmT06NFEXV2deHp69jkCZ2VlkcOHD5PTp08TX19fcuLECRIdHU2OHDlCdHR0yOaDvsT4x/tk+pFIUlTTKggR31/FLS4uJlJSUj0+ZA6HQ1JTU8nRo0fJjRs3SFVVVb/bv3XrFnn+/LkgRB30FLknmEwm8ff3J+fPn+8x1rjzxdO5xhou+poyMxgM8s033xBZWVkydepUkp6eLhQZSkpKiI+Pj8Db5XA45PLly0RPT4/o6+uTmzdv9nheQ0MDOXjwIPH09CQMBoM3Zb5x4wb5888/iZKSEonMKif2v0cQ618fkqe51YMV7f11wNi3bx+cnJx6DKejUCiws7PDzp07YWRkBF9fX/j5+YFKpfLVdnl5OahUKsaNGzdoOXNyckClUgcVQdQTYmJi+OSTT2BpaYmLFy92KTjd0dGBW7duYdasWcMaZQQAsrKyuHDhAv7973/j9evXvM+jo6NhZmaGR48eISQkBJGRkQLPO92JvLx8F59iQUGhULBhwwa8fv0au3btwvbt2+Hu7o66ujreOc3Nzfjrr78wdepUGBoaIjQ0FFpaWnBwcACLxcKoUaOgpKSEjMd3EbRjInSVpPH5lUQcf1wALlfI8Tj8ajgR0Ijb3NxMpKSk+LYUMhgMEhcXR7y8vMjVq1dJcXFxr+tDLpdLrly50i8rZG+0t7cLdIrcG3l5eeTw4cPk2bNnhM1mk6tXrwp8hB8snVNmBoNBNm/eTGRkZMhPP/0kNJ/yv8Plcsn+/fsJjUYTaj9VVVVkxowZRElJiVy9epW0tbURb29vnmGNyWSSc+fOkZiYGMJiscjp06fJX3/9Rf71r38RPT09wuVyCY3BIt/cSiUGe0LJOp+XpKGNMRBR3s+psre3NzE1Ne33dWw2m6SkpBBvb29y4cIFkpOT002BCwoKyMmTJwXygwoPDyfBwcGDbocfmpubyaVLl4iXlxe5dOnSkChEf2htbSWqqqpESUmJWFtb85VGRpBcuXKFFBQUDElfPj4+RFFRkbi5uZHQ0NAux5qbm4mnpyfJy8vjGRr3799PVFVVydOnTwkhb180vnElxOx/w8iE/U9Iamm/DYvv31SZEIIjR45gx44d/b5WVFQU9vb2+PLLLzFhwgQ8e/YMZ86cQXp6OjgcDgghePLkCaZPnz5ot8nm5makpaVh6tSpg2qHX+Tl5TF+/HgwmUzU19fzSkO+L4SGhqK9vR00Gg2//fYbrK2th7R/LS0tVFZWDklfn3/+Oe7du4eGhgZ8++23XZYI8vLyWLFiBYKCgqCgoMBLDu/m5gYvLy8Ab0M7P3MxwJ1trgCAFWdj4RtX8naUFCBDqrjPnj1Dc3MzvvrqqwG3QaFQMHr0aGzZsgVz5sxBWloavL29ERwcDAqFAktLy0HLGRUVBUdHxyHLrdve3o4HDx5g1apV+OSTTxAYGIinT5++F/Gxe/bswZYtW3D27Fl4e3tj48aNyMnJGVIZtLW1+bZxDJbW1lYkJiYiIiIC48ePh6OjIx4/fsw7rqenB2dnZ17Vg5qaGtjZ2SE6OrqLjGP1FBG6yw0TTVXxc1AWvr2dhnYmW2Byiv773//uz/n9OvmffP311zA3N4eHh8dgmgHw9s2mrKwMOzs76Ojo4OnTp6DT6SCEQENDY8DpUGtra3n+wEOVUjU4OBg6OjpwcnKCkpISbGxskJCQgNTU1GFLTs5isbB48WI8fPgQ4eHhcHd3h6OjI0pLS/Hrr79i06ZNQyaXuLg4IiMj4erqKtRkBYQQBAQEwNzcHLa2tvjkk08gKiqKbdu2QV5enmfw1NPTQ1xcHBQVFTFq1CiIi4ujpKQETU1NXUqYSImLYtFYbYyiiOBKXAkisqrhYqwCFdk+v7ff+Ba2H38DhkqlEklJSaEYe8rKysjx48dJVVUVCQgIIAcPHiSPHj0ira3931cT5FYSP/Tm3MHlcklMTAw5fPgwyczMHNI0rwwGg0yePJlYWlp2c9PkcDhk0qRJxM3NbUjX4qdPnxb69lhJSQk5ceJEN8eRsLAwIicnRw4dOsT7rLKykudZdeDAAbJz506irKzc6958TH4tcfg9gljsDSPX49/09Tz50sUhG3E9PT1RW1uLH374YaBN9MrTp09hZmYGKysrWFlZYfTo0SgpKcH9+/fR3NwMdXV1vooXl5eX4+XLl1i6dOmQZPVvb2/HzZs3sXTpUl6myE5ERESgr68PAwMDhIeHo6SkBAYGBkKv48pkMjFt2jQ0NzcjLi6uR7mWLVuGgwcPIi8vb8jq7La0tKCurk6odX2ePHkCS0vLblFkZmZmmDBhArZv3w4AmDRpEmRlZcFisfDq1SteMEZaWhoMDAwwevTobm3rq0hjqYMOMstbcDm2BIU1bXAzU4WkWLff2fsz4rJYLKKsrExu37490CZ6hUajkQMHDvS4XdDa2koePXpEDh48SPz9/cmbN32+6chff/0lkK0kfrl37x5fbpksFos8evRI6KMvk8kkU6ZMITY2Nu+creTk5BB5efkhS3dTVlZGTp06JbT2W1tbyYEDB/r0touJiSFycnLE09OTEPJ2p+Ps2bMkMTGR7N+/n6xcufKdnmYcDpecjiwkJj/eJxP2PyFJJd0CR/jSxSFZxEVGRkJUVFQga9t/kpqaCgsLC0hLS3c7Jisri5kzZ8LNzQ1paWkIDg6GqKgonJ2dYWNj02WNVlNTg7q6OowdO1bgMvZEVVUVCgsLsWvXrneeO2rUKMycOROWlpYICgpCdnY25s2bJ/BaRGvWrEFVVRVevnz5zrYtLS3h6+uLNWvWYMyYMZg8ebJAZfknOjo6aG9vR0NDQ7dZAPDWcaWzdm9lZSWam5vBZrPBZrPB4XAwatQo3npUTU2NZxFWU1ODqKgoUlJSMHr06D5nZm5ubrh37x4WL14MXV1deHh4wN3dHQEBAbCzswOXy8XDhw951Q57gkIRwfapJnAxVsaum6nwOBeH3bPMsW2KCUQp/K/fh2SqfPjwYUhJSeGzzz4byOW9QgjBvXv3MGvWrD5rxYwaNQq6urpwdnaGiooKsrKy8PDhQ7S0tEBBQQEyMjKIioqCgYHBkJVYDAoKgr29/TsLNf8deXl5ODg4oLq6GqGhoZCXl4eamppADDZ//vknbt++jRcvXvBdkdDCwgIUCgU7duzAzJkzhVqJUEREBK2traiuroaxsTE6OjqQkpKC+Ph4PH78GDExMaivr4e4uDgMDAwwZswYjB49GjY2Nhg7diwsLS1hamoKXV1dEEJQXl6OhIQEPHnyBHl5ecjNzYW1tTW0tbX7/D6NjY2hra2N7du3Y/78+TA3N8fr16+hoKCAiooKVFZWQk5O7p0ZMrQUpLDcSRel9e24EluCpJIGuJmpQlZiFF9TZaEH0hNCoK6ujosXL2Lx4sX9vbxPCgoKEBkZiS1btvT7x9vS0oLk5GSkpKRAWVkZlZWV2L59O5SUlAQqY0+UlJQgKCgIO3bsGLDlury8HEFBQVBTU4O7u/ugtq5CQkKwevVqhIWFDWjk/Omnn3DmzBlERUUJzfUReFvn9uLFizA3N0d+fj7MzMxgamoKLS0tqKioDGj/nsFgoLi4GPfu3YOKigrodDqcnJxgb2/f4yyuk6+//hoBAQHIyMgAk8mEr68v1NTUEBYWhqqqKkRHR/PVPyEEd5LK8WtwFiTEKEj7Zfb7kQEjIyMDkyZNQmNjo8DzSd28eROWlpawt7cfcBscDgf3799HXl4eKBQKHBwc4OjoKLQKdoQQXLp0Cc7OzoP+kbPZbERHRyM5ORlubm4YP358v41q+fn5GDduHPbv388zvgyE3bt34+rVq4iJiYGVldWA2+kJFouFrKwsJCYmoqamBubm5pg3b57A8mLl5eUhMTERn332GSoqKpCUlITc3FyYm5vD2dkZOjo63QYGLpeLWbNmgUajITY2FsHBwWCz2cjJyYG3tzeKi4v7tZQpqm3Dbr90BO2Y+H4kRA8MDIS5ubnAlZZOp6OkpGRAdX/+DoVCQUVFBZYvX461a9eio6MDZ86cgZ+fH4qLiwXu8ZKXl8erjTRYRo0ahRkzZmDTpk0oLi7G2bNnu3j6vAsul4tly5Zh6dKlg1JaAPDy8sLKlSsxZcoUgTpoFBQU4OTJk8jKysKUKVPwySefoKWlRaDJ7KhUKrS0tAC8XUsvXrwYu3btgoaGBgICAnDr1i20trZ2uYZCoSA4OBiVlZX4+eefMXXqVBQXF0NSUhJaWlqIiOhfTioTNVnc/T9vK77g14pFBmhVtrKyGlAmhXeRmZlJrl+/Puh2SkpKiLe3dxdLLZ1OJ4mJieT06dM8R3NBxPZyuVxy9uzZQSUv76vt7OxscvToUXLnzh2+SpPu3buX6Ovr88puCoLt27cTFRWVQYf5dXR0kMDAQHLs2LEuwfwcDoccO3aMlJSUDFZUHtevXydZWVk9HmOz2eTp06fk0KFDJC0trZtFPzo6msjIyJD09HQSFhZGLl26RNzd3cmqVasGKs7wBxlUVFQQCQkJoUR23L17VyCJsv39/Xst5cnlcsmbN2+Iv78/OXDgAAkKCiJlZWUD3o4pLS0lJ06cEKozBZPJJE+ePCEHDx4kz58/7zULRWZmJpGRkSFRUVECl+Hbb78lSkpKA34++fn5xMvLi4SGhhI6nd7teFpaGrl48aLAvsdjx46Rurq6Ps+hUqnkzJkz5MaNG6SlpaXLsS+++IKMGTOG1NbWkoMHD5Jvv/2WaGlpDTQDyPAHGYSGhsLAwKDPRf5A4HA4KCws7HcGv3/CZrNRUFDQ67S10wli2bJl2LFjB5SUlBAYGIiTJ08iKioK9fX1/eovKSkJTk5OQnXbExMTw/Tp07Fp0yZeTaGCgoIuU34ul4s1a9Zg9erVmDJlisBl8PLywvbt2zFz5kw8e/aM7+tYLBaCgoIQFhaGJUuWYP78+T26VdrY2IDJZCIvL08g8rJYrHe6b2ppaWHLli3Q1NTE2bNn8erVK94xb29vtLW14ejRo9DW1oahoSEUFRURFxcnEPl6QqjbQd9//z0mTJgg8NqrpaWloFKpmDBhwqDaKSoqQkNDA19B953bDM7OztDV1QWVSkVERASys7PBYrGgpKTUp1cTjUbDgwcPsHjxYqFl5v870tLSsLGxgYKCAiIiIpCTkwNVVVXIy8vj5MmTePz4MSIiIoTmITZjxgwAbyskKCkpvXN7hE6n48aNGxATE8OaNWv6TH8rIiICBQUFPHnyBI6OjoN+EUZHR2PixInvtPBTKBQYGRnB2NgYISEhAN5Wr+iMXPvqq6+wa9cuUKlUlJeXo7m5eSBpgYd3O4jJZEJOTg75+fn92qvkh/DwcEhKSg56tAgNDYWysvKAXwBcLhfFxcXIzMxEXl4e9PX1YWNjAwsLi25K/Pz5c9TX1wt8S4xfOdPS0hAdHQ11dXXs3r0b+/btw+bNm4Xed3BwMNauXYvVq1fj9OnTPRopaTQarl27Bj09Pbi7u/OliIQQXLlyBdbW1oOuKnDgwAF8/fXX/cp73dzcDF9fX4wZMwZTp06FiIgIZs6cCXl5eTg6OqKkpASpqalISkrqrzjDa1XOysqCrKyswJWWEIK8vDxYWFgMup38/PxBtUOhUGBqaoqlS5di9+7dsLa2RkZGBry8vHDv3j0UFhaCy+WCy+UiOTlZmGUr3imng4MDdu7ciZiYGEhLS0NVVVUoKWH+yaJFi/Dy5Us8fPgQU6ZM6dZnR0cHfH19YWpqyrfSAm9H3QULFiAqKgpNTU2DklFMTAxsdv9C7hQUFLBx40bk5uYiOjoabW1tWLRoER4+fAg5OTno6emhpqYGNBptULL1htAUNzk5mW8PnP5QV1cHDocDDQ2NQbVTWVkJcXFxgVUFEBcXh62tLT799FPs3LkT2traiIqKwtGjR+Hv7w9RUVHelsNw0dHRgdu3b+Pw4cOQk5PD2bNnERERgfb2dqH2a2lpiYyMDIiIiMDW1pa3XcRkMnHjxg0YGhpi+vTp/Z7yqqmpwdXVFcHBwYPatpOUlByQgsnIyGDt2rVISUmBt7c3Ro8eDXd3d4SFhYFCoUBFRQXp6ekDlqsvhKa4cXFxPUZJDJbXr1/DxMRk0OsaQYzavSErK4vx48dj8+bN2LBhA1paWtDe3o5Tp04hOjoajY2NQun3Xfzxxx8wMTHB8uXLMWPGDHz55ZdgMpm8NW9bW5vQ+paXl0dUVBTmz58PFxcX3Lt3DwEBAVBVVcWcOXMG/DwnTJgABoOB5OTkAcumqamJqqqqAV3b2NgINpsNUVFR6Ojo4NixY4iJiQGFQoGUlNRApsp8IbQgg9jY2EFluuiNyspK6OjoDLqd/Px8gRvNekJZWRk0Gg3r1q0Dm81GRkYGLl68CEVFRVhYWMDCwgLq6upCr2bP5XJx7dq1LsW85OTksGDBAri5uSE2NhanTp2CtbU1JkyYIBTXTwqFgtOnT8POzg5r167FwoULcfXq1UHdO4VCwZIlS3DlyhUYGBhATU2t322oq6sjPz8fDAYD1dXVYDKZ4HA4EBUVhYSEBNTV1aGtrQ1NTc0uhkUajYbbt29j6dKlkJSUhJ+fH7Zt24bp06cjISEBqqqqQtMDoSguk8lEYWEhli1bJvC2qVTqoNeKNBoNjY2N0NXVFZBUvVNbW8vLyiEiIgJdXV3MmTMHb968QX5+Pm7dugUAMDc3h4WFBQwMDIRi6fXz8wOAHiO0FBUVMW/ePEyePBkvX77EhQsXYGpqCjc3N6Esd1atWoW8vDxcv34dkyZNws2bNwdVYExNTQ2zZs3CrVu3sHnzZr6MTEwmE5mZmUhJSUF1dTUoFAqkpaWhra0NSUlJiIqKgsPhoKOjA1VVVUhPT0dtbS00NDTg4OAAGxsbhIWFYezYsTAzMwPwdpvqwYMH2LNnD+bNmwcPDw+kpqYO+L76QiiKm5WVBXl5eYE/dBaLhYaGhkG321ktThi1eP9J55T876OKqKgojI2NYWxsjDlz5qC2thZ5eXl4+vQp6uvrYWJiAgsLC5iamg6qwt/fOX78OD777LM+71lWVhYzZszAxIkTkZSUBF9fX2hra8PNzU1gOZ4JIQgNDcXChQvx22+/YdOmTbC1tcWvv/6K3bt3D/iZ2NnZobq6Gv7+/vj00097baelpQUvXrxAZmYm9PX1MX36dGhqauL48eOYN29en/1zOBwUFxcjKSkJ4eHhEBERwdatW3nHp02bhnPnzmH06NHQ0dFBS0sLGAwGaDSawOsNC2U76OLFi/Dy8kJ2dvbApOqF8vJy3L9/v8uXNRCePXsGOp2O2bNnC0iy3rl48SKmT5/Od7hgW1sb8vPzkZ+fj9evX0NbW5s3GvcUh8oPBQUFsLW1RWlpab+mkiwWC2lpaYiNjYW8vDycnZ1hZWU1qBlBWloa4uPjsWXLFl47ISEh2LJlCwwNDQc1+nK5XNy4cQOqqqqYO3dul2OEEKSlpeHx48ews7PDuHHjeAWsgbfPafLkyXw79dy4cQMsFgs1NTWYPXs2bG1tISIigrKyMvj5+YHNZuP8+fNQUlLCiRMn+rPlyNe6QSgjbnx8vMAjRIC302RBxHxWVlYOOjiBH9rb21FXV9evLTFZWVk4ODjwsuUXFxcjLy8PL168gLS0NE+JdXR0+B6dLl68iHHjxvV7/ScmJgZnZ2c4ODjwImjCw8Nhb28PR0fHLj98fmhtbcWjR4+wdu3aLsq/cOFCFBYWDnr0pVAoWLZsGXx8fPDixQtMnDgRwNtRNiQkBG1tbVi7di2vaPXfcXJyQmJiIl+K29HRgdLSUnzzzTdobGxEYGAgsrOzsWDBAujp6cHGxgb19fWgUqlQVlZGcnLyoJ2Fut2rQFv7P2JjYzFz5kyBt9s5xRVEO8IM+v57P1paWgMeocTExGBhYYFFixbhu+++w6JFi0ChUBAaGgpPT08EBQUhJycHdDq9z3bCw8MH5fghKiqK0aNHY/369Vi3bh0YDAbOnj2L27dvo6ioiO+tmJcvX8LGxqZHxZGVlcXt27dx48YNHDlyBBMmTOhXpFMnUlJSWLduHZKTk/Hy5UvU1tbCx8cHOjo62Lx5c499A8CYMWNApVLR0NDwzj6oVCo0NTV5kUBffPEF1NXVcenSJdTX12PatGmoqKiAra0tWCwWnj592u/7eBdCmSrLyMggJSVF4NstZ86cweLFiweldDQaDd7e3tizZ4/QLbkxMTHo6OgQypS8sbGRN6UuLy+HiooKDAwMYGRkBH19fV4KloaGBmhra6OsrGxAFtfe6DTuJCYmgsViwcnJCXZ2dr2uydlsNo4ePYrPP//8nXvnbW1t2LRpE8LCwrBp0ybs27ev32vEpqYmXL58GXQ6He7u7rCzs3vnNRERERAREcGsWbP6PO/58+eg0Wjd3BlTUlIQFRWF9evXIz09HXfu3EFYWBhUVFSQkpLCr+jDM1Xu6OgAnU7nWdoEBYfDEahhSthK29mXMJYMAKCkpITx48dj/Pjx4HA4qKioQElJCeLj43H37l2oqKjA0NAQsbGxMDU1FajSAm8dThwdHeHg4IDy8nIkJiYiOjoaRkZGsLGxgbm5eRff36ysLF6minfROfpGRUVh9+7d0NPTwzfffIMff/yRbz9vERERcLlciImJobGxEYSQdz5zJycn+Pj4wNXVtc8g+JaWlh7vw8HBASIiIvD19cWKFSugrq6OqqoqgRumACEobqeggrbYtra2QlpaetBJygU13eYHKpXKc7YXJqKiotDX14e+vj4mT54MNpsNKpWK169f4+HDhzAwMMCFCxdgaGgIQ0ND6OvrCyyZuYiICPT09KCnpwc6nY6cnBwkJSUhJCQEVlZWsLW1hYGBAZKSknhrTn6ZOnUqUlJScPfuXfzwww84d+4c9u7di61bt/b5+yKEICgoiLc+v3XrFurq6rB48eI+A0GUlZVhb2+PsLAwrFixoldF53K5vfZvb2+P5uZmhIeHQ0lJCRoaGrxE/YIcLASuuJWVlUJ5w7S1tQkkq2FjY6NAHDjeRXt7O+h0+oAtwYNh1KhRPEUuLy/HTz/9BFtbW5SUlCA2NhZ37tyBuro6T5H19PQEosiSkpKwt7eHvb09WlpakJmZiYcPH6KtrQ0sFqvfxqxOOrN0nDt3Dn/++Se8vLxw4MCBXv0EkpKSwGQy4ebmxiunGRoaisuXL2PlypVQVFTsta+pU6fi/PnzyMrK6lIjiRDC23svKCjAq1evEBMTAwkJCWhqakJHRwfW1taQlZWFlpYWYmJioK2tDSMjI+Tm5qK5ubnPfvuLwNe4/v7++OGHH1BYWDhwqXogJycH6enpWLVq1aDauX79OpydnQcdy/suioqKEBMTgw0bNgi1n75oaWmBqqoqGhoaurz02Gw2ysvLUVJSgpKSElCpVGhoaEBfXx/a2trQ1taGoqKiwEYIPz8/0Gg0NDU1QUJCAhYWFjA3N4eurm6/+2CxWDh48CC8vLxgaGiIffv2dfGAa2pqwoULF7Bhw4YuywNCCOLj4xEbG4slS5bAxMSk1z4qKipw8+ZNbNu2DbKyssjOzkZkZCREREQwZswYMJlM1NTUYOHChby0sG/evEFubi50dXVRUVGBuXPnIjw8HGlpabh//z5iY2P5dQEenjVuZWWlUBKttba2CmTEFdTI/S4aGxuHZbT9O9HR0dDU1Ox2v6NGjeKNtsBbZSgvL0dpaSkyMzMREREBJpMJLS0taGlpDVqZqVQq1q5dC2VlZVRUVCAvLw+hoaGg0WgwMzODhYUFjI2N+arSICYmhr179+Lbb7/Fzz//jE8//RSKiorYsGEDvvnmG0RHR8PZ2bnbml5ERASurq7Q0NBAUFAQTE1NMXv27B5nGjo6OrC3t4e/vz+kpKRQW1uLefPmwcjICCIiIqitrcX169chJycHeXl5aGhowM7ODrNnz4aPjw/YbDYvIotGo4FOp6OyslKgvvsCV9xOC6egaW1tFUj1PEG18y7a2tqGrNpfbzx//pwvy76YmBiMjIy6OD60tbWhsrISVCq1V2XW0tKCkpJSn8r89yVDp8unrq4uZsyYgcbGRuTl5SEhIQH37t2DgYGw2OQAACAASURBVIEBbzR+13cnIyMDLy8vHDx4EJcuXcKZM2dw6NAh2NnZ4eDBg71eZ2xsjO3btyMiIgJnzpzBwoULexx9XVxckJiYCCkpKWzbtq2LgquqqkJMTAxlZWVdypUwmUy0t7fj008/xb179+Dg4MALGRR0tUGBK+6bN2+E4gPc1tY2aLc7LpeLjo4OoazB/0lra+uwh/FlZWUNOJukrKwszMzMuuwODESZOzMo9qTcSkpKcHFxgYuLC+h0OgoLC5GXl4fHjx/zYrmNjIxgYGDQ6yxJTEwMW7duxdatW3H16lX4+vpizpw5MDU1xfbt2/H55593s0RLSkpi0aJFKCwsRHBwMPT19TFt2jTeDIkQAn9/f9ja2qK+vh7BwcG8yn3A29HbyckJCQkJXRS3pKQExsbGMDAwwIYNG3D58mVewnpB1/cVuOKWlZUJJepGEFPctrY2SEtLD4mP8lBNyfuipqZGoI4w/VFmTU1NqKiooLm5GZKSkqivr4eiomKvziiSkpKwtraGtbU1uFwuqqurUVJSgoyMDISGhkJWVpY3vTc0NOz28iWEoLm5GZcuXYKCggJOnDiBgwcP4scff8S8efOwatUquLu7d+nf1NQUO3bsQHx8PC5evIgxY8ZgypQpyMrKAofDwdy5c8HlcuHv74+bN29i2bJlvH3qsWPH4sWLFygpKYGOjg6ysrLw8uVLtLe34+7du7CyssKCBQtw+/ZtiIiIoKCgQGDPARDSGlfQe7iAYKa4QzVNHuq+eqOuro63jhUWvSlzdXU16uvrUVxcDDExMVy7dg2tra1QVFSEiopKtz9ZWVneqEyhUHijuKurK7hcLqqqqniKHBISAnl5eejq6vJGeikpKXR0dPAMXnv37sXevXsRHh6OK1euYMuWLaDRaHBxccHSpUuxZs0aKCgoQFxcHJMnT4aTkxNiYmJw6tQpsFgsXqAChUKBh4cHb2o9f/58WFhYQFJSEvPnz4e/vz+4XC50dHSgp6cHKpUKIyMjvHz5EhUVFZCRkYGoqCjKysoE+r0LXHHpdLpAzd6ddHR0DDpSZihHwfdBcRsbG4esFtLfkZWVhaysLExMTBAbGwsPDw+oqKiAzWajoaEB9fX1qK+vR3l5OdLT01FfXw82m81TYmVlZaioqEBVVRXKysqQlJTkGcgmTJjAU+SKigpQqVQkJyejrq4OoqKiCAkJ4SmzhoYG5syZw/Nw6ox4OnHiBL799luMGTMG8+bNw4YNG2BiYoI5c+ZAQkICr169wp07d3j1pkxMTDB37lxYWloiODgY/6+98w6L6kz//hcGpaNIEwQFFUaNKCpEEWyxd+wlMSbWbDQmu2tiNonJbrao2BULa69gF7CiFBULMICCgjNI73WEGRim3u8f/ua8IMWBmUHM8rkurhjmnOc8M8z33M+5n7skJydj0qRJqKmpgUQigZWVFebNmweFQoHdu3czHvPjx49DIpGAxWJBKpVq9DPWuHDlcrlWOpUrFAq181RlMlmrVFgE3txoNF2WtjnI5XIIBIImtz20jUwmg1AoZJ4d9fT0YG1t3WD0m0gkYkRdWloKHo+Hx48fM428TE1NYWpqChMTE+bfpqamcHd3h6mpKZ48eYLq6mrY2toyYi4rK0OXLl2YG4CFhQW+//57bN68GeXl5Th16hRCQkKwbds2WFpaom/fvkxu8qefforMzExERETgxo0b6Nu3L9hsNlatWoXw8HDs27cPYrEYn376KZ49e4ZTp05h9uzZ6Nu3L65evYrS0lJIJBI4ODgwub2aROPClclkWhGuXC5X+9m0qYgXTaOsoPC+qKiogK6ubqs44hpDKpWiQ4cOKm0hGRoaolu3bvWCY4gIQqEQlZWVEAqFEAgEEAgEKCgogEAgYH4nFAqhr6+PoqIimJiYwM7OjilxpFAoUFVVhZKSElRWVqKsrAwsFgtWVlb4/vvvYWJiAh6Ph+fPn+PJkyf45ZdfsGrVKnTt2hVsNhv9+vWDTCYDl8uFSCSCs7MzunbtitLSUpw7dw7Ozs6wtbXFoUOHYGVlhdzcXAwcOBA8Hg89e/Zk5qBJtGJxNZX8XRtNWNzWEq4yqKU14qEbQ7lEe5/IZDK1Q1R1dHQY69oUx48fh4eHB8zNzesIvLawBQIBqqqqwGKxoKuri8rKSggEAqY7gKOjI7p27QodHR1IJBKUlZWhoKAAjx49wvnz51FaWgpjY+M6lt/ExAQxMTHM/5eUlMDExARJSUlgsVh49eoVdHR0NP5d0IrFlUgk9ZokqYtIJGJC51qKQCCAWCzW+NzeRi6XQyqVav06TVFeXs70lH1f8Pn8Vvscqqqq6oi8sa04hUIBiUTC/AiFQohEIlRXV6OkpAQvX76Es7MzqqqqYGNjAycnJ9TU1DDf69evX4PP56O0tBR8Ph85OTlITk5mkmukUmmDaY5tfh9XV1dX4w/iynHVKcEJQCtLlsauo+5c1UVPT69V3mtTsFisVpuDrq4uI0qhUFjvp6qqirG8NTU1EIvFzIqAxWIxFlEsFoPL5TI+guLiYhQVFaGgoACFhYWoqKgAi8ViLKyxsTEcHR1hamoKIyMjmJqawtDQECwWC0QEPT09nDp1SuNlnDQu3A4dOkBPT0/jHlVDQ0MYGxur5fAxMzODvr6+1r29RISOHTvW2eJobcRiMYjovXq2WSwWWCyWRuYgFoubXALz+XymvnJtB5ahoSE6duwIPT09GBoawszMDJWVleDz+dDR0WE82XK5nKnyUVFRgfT0dFRWVqJ79+7o27cvJk6cCGtra0gkEtjZ2YGIIJFIIJVKYWRkBAcHByQnJ6NDhw6oqqpCnz59kJqaiilTpuDs2bNqPzK8jcaFy2KxIBaLNT0sc0d932Oogo6ODnOt9/Wc2alTJ8hkMtTU1DBJ9a2Nnp4es3RU5QZWU1PDbBWVlZXV2TpSKBR1vMnKLScbGxuYmpoiKSkJ+vr6cHFxQUFBAfNTWVnJeJS7dOkCJycnWFhYwNzcHA8fPkRAQADCw8NRVFSEHj16wMbGBp988gm2bdsGe3t7JCQkMG10XFxc4OzszBT2k0qlWLhwIQoLC8HhcDBnzhxwuVy8evUKycnJkMvluHfvHhQKRdt/xtXT04NIJNL0sNDV1VXbpc5isZrdaqKlGBgYQCQSvbfoqQ4dOsDExAQZGRlaS+ZXZQ4GBgaorKxkUvpkMhn4fH4dgSp/JBJJnb1cZ2dnDBs2jNnLrf3lVwbu5+fnIzU1FZmZmaiurmZCLJ2dnTFy5EhYWloyDkmhUIjAwEBcvnwZjx49YoIvtm3bBh8fH3Ts2BHh4eHIyspCcnIynj59Cnd3d0yePBmGhobg8/m4cuUKpFIpli1bhhcvXiA4OBh6enpYvnw5DAwMcOHCBSxfvhxCoRBXrlyBWCyGXC5v+8Lt2LGjVpwRBgYGqKmpaXFOJ/AmMF1bvVzextTUVGMZTS2lc+fOSE9Pb3XhEhGz7WJkZITr16+DiFBWVsaIWClQOzs7uLq6wsLCAqampo1+wWtqapCdnc2kIpaVlcHGxoYR6cCBAxEcHIxly5bVOS8vLw9HjhzB9evX8ezZM3Tv3h3jx4/Hr7/+imHDhjHHKfs7JSQkoLq6GrNnz0a/fv0YfwWHw0F4eDi8vLzg6enJ9I169OgRdHV18ejRI5iamjIF8J8+fYqKigp06dKFqcShSTQuXBsbG6Snp2t6WEYI6vQMUo7RGiiv9T4TDSwsLJCZmanVaxARXr9+jfz8fGZ5mp+fDxaLBUtLS2aVM3ToUGaJqsrjg1gsriPU0tJSdOvWDT169MCkSZNgZ2dX57lR6QwsKSmBhYUFbty4gR07duDx48cYMGAApk+fjgsXLtRJClCel5KSgvDwcJiZmWHhwoVITk5GcnIyPvroIxAR7ty5g1evXuHLL79k0gVlMhmCg4MxY8YM2Nvbg8Ph4PHjxxCLxbhx4wb69euHuXPn4uLFi5DL5RovTqhx4drb22s8iR54E0anbm8b5RiaLiPS1LXeJ1ZWVsjOztbYeI2JtEOHDkxm0NChQ2FnZ8esNF6+fIm4uLh3phcSEQoLC5kKEyUlJUyT6AkTJqBbt25NOnh0dHTg4uKCv/3tb7hz5w6qqqqwcOFCnDhxotGsstLSUgQHB0MqlWLy5MlMsISNjQ38/f0RExOD4uJiFBYW4ssvv6wTn/DixQuYmprio48+YlpsWlpaIiMjA7NmzUJNTQ1OnDgBW1tbKBQKjRdu0Lhwe/TowXRj0yQmJiZqW0s9PT3o6+ujurpa6xFFrWndG4PNZre4KH1LRNoQdnZ2CAkJafBmKZPJkJmZCS6XCx6PBxaLBTabjbFjx8LBwUFlT2x0dDS2bNmC27dvw97eHj/99BNWrFjRqGVXKBR48uQJoqKiMGrUKHz88cd15qanp4dFixbB39+fycd928HH4XDg7e1d57xu3bohPDwcFRUVOH/+POzs7JCYmAgi0vjKS+PCdXBwwIMHDzQ9LExNTVWqeavKOEKhUOvCNTExQXFxsVav8S6GDx+O69evq3SsQCBATk4OI9S3RTps2DDY2to2+5ld+dyqfLatrq5GamoquFwu0tPTYW1tDRcXF3z22WewtLRUeSWkUChw8uRJbN++HZmZmZg2bRoeP36M5ORk9OrVq1HRlpWVISgoCLq6ulixYkWjVUrS0tJgamoKFouFS5cuYerUqUzyjDII4+0sOEtLS+jr6+PAgQPw9PRkKnqwWKy2v1S2tbXVSsNkU1NTjSz7lJZb3f6676JTp07g8Xhavca7GDt2LD7//HNIJJJ6ZWGEQiHz/JiZmYmqqiqm5lRLRdoQyiqQ4eHhEAgETNobm83G1KlTW3QDDQkJwYYNG1BWVoZ169bhu+++Y8axsrLCmTNn0KdPn3r7xzweD0FBQRg5cmQ9K1ub8vJyREREYNmyZTA3N0dUVBT8/f3h6OiI/v37o7q6mukkIZVKmdzh+Ph46OjoQE9PD7169UJAQADS09Ohr6/f9i2unZ2dVjy3mlp6ttYS1tbWFgUFBa3yPN0YVlZWMDc3x6NHj+Du7o6srCxkZGQgKysLQqEQPXr0gKOjI9zd3ZlugppCLpfj1atXSEpKQlpaGnR0dDBjxgwsWrSoxR7Wx48f47vvvgOPx8PatWuxcePGejckW1tbDB48GNevX8eCBQsYr/DDhw8RExODRYsWNVmhhYgQHBwMb29vWFpaAgBGjRqFYcOGITExEYmJicjIyIBMJsOmTZsgl8thZWWFbt26Yfbs2ejWrRtiYmKYZ+tbt24xaYmaRCsWVxvC1ZSzp1OnTq3SWPrtJWJrU1VVhczMTDg4OGD//v0YMmQIunfvDkdHRwwZMgQ2NjYaT7ggIuTm5iIxMRHJycmwsLDAgAEDMHnyZBw7dgwmJiYtEm1KSgrWrVuHx48fY+nSpbhz506TBQlHjhyJQ4cOISkpCX379kVwcDDKy8uxYsWKdxYyjI2NhUKhqLNVBAD6+vrw8PCAh4cHrl+/ji5dujA1pd7+HJVpiMXFxcjMzISRkZHG67BpTbiazsRRPpuqO66tra1a3ctVRUdHB3Z2dsjPz28V4VZXV9dZ+lZWVqJHjx7w9PTE48ePERgYqLXMKKFQiPj4eDx9+hQsFguurq5YsWJFnebYHh4eiI2NbVYDtLy8PHz33Xe4ceMGZsyYAR6Pp5Ll0tPTw6xZs3Dy5Ek8fPgQ1tbW+OKLL9550xAKhYiMjMSyZcve+Vkpm16/TXp6Ou7evYv58+fj5MmTyM3NRe/evdt+AIaJiQlYLBZyc3Pr7ZmpQ4cOHWBmZobS0lK1ArZbcwmrvJY2AiBkMhlToDszMxMVFRWMRfXx8UHXrl2hq6sLLy8vuLi4oLq6WqPBIESE7OxsxMbGIi0tjdm3bKww3MCBAxEZGalSFRKFQoF//etf8PX1xYgRI5CQkNDs7ZTOnTvD2NgY5eXlmDx5skqWPiEhAX369GGWyI1hbGzc4ONWRkYGLl26hPnz5yMvLw+lpaWwsLBQqexsc9FKm007Ozvcv38fn332mcbHzc/PV0u4ZmZmICIIBAKt1H+ujaate3V1NVMJMS0tDVZWVnBxccGMGTMabdSt7Gig7NauLmKxGImJiYiNjQURwd3dHdOmTXtnPLSBgQH69euHuLg4jBo1qtHjXr58iUWLFjHe35a0cBGLxThz5gwcHR3Rp08fXLhwAZMnT67TmeBtFAoFOByOSgX3bW1tERsby/w/ESEpKQm3b9/GvHnz4ODggKCgICQmJsLS0rLRDoHqoBXhDh06FLdu3dK4cJUWTJXOa41RewmrbeHa2dkxGSstte5lZWXMPmdhYSGcnJzg4uKCKVOmqOyRHT9+PC5fvqyWcIuKisDhcPD8+XP07NkTkydPhqOjY7Pel6enJ44dOwY3N7d6jw+1rey8efNw4MCBFiVHyOVyBAYGwsrKClOmTIGOjg5T5zglJaXRzy01NRVmZmYqeX/t7OyQl5fHJHFcv34dZWVlTO/dJ0+ewMTEBBwOB2w2GyNGjGj2+3gXWhGul5cXDh06pPFx7ezs8PLlS7XHUdYl6tOnjwZm1ThmZmYwMTFBXl6eyrWmFQoFcnNzGbHW1NTAxcUFw4cPh5OTU4ucO19++SXGjBmDqqqqZm2/EBEyMzMRFRWFkpISDB48GH/6059afMOztLTE0KFDERISgk8//ZQRvSasrHK+169fh76+PqZNm8aMb2dnh9WrVyMiIgIHDhzA2LFj4erqWifAIzY2Fu7u7ipdR5mof/36daSmpmLQoEGYM2cO9PT0UFZWhvv378PMzAxmZmbQ0dGp5+jSBFoR7pAhQ/D7779rfNyuXbuisLBQIw6qZvQrVQs2mw0ul9ukcCUSCdLS0sDlcpGamgpTU1Ow2WzMmjVLIy1B3d3d0aNHD+zduxc//vjjO48nInC5XERFRaGmpgbe3t5wdXXVSIqil5cXXr58iYSEBLi5uWnEyiqJjY1Fbm4uli9fXu/7oaenh/Hjx6Nv376IjIxEWFgY3Nzc4O7uDmNjY2RlZWHBggXvvAafzweHw2EqTC5ZsoSpk6VQKJh94nXr1sHDwwPp6ekYPHhwi99TY2hFuAMHDgSfz0dlZaVGl6MGBgYwNTVV20FlZ2eHa9eutYqDis1mIyQkpJ4VqaysZKxqdnY27O3twWazMXr0aK2Ut129ejX27NnTpHDlcjmeP3+Ohw8fQk9PD97e3ujTp49GvdEsFgszZ87E/v37sWzZMpSXl6tlZZVkZGTg/v37WL58eZPFCu3t7fHZZ5+hrKwMHA4H//3vf5lE+7i4OKbTvLIyo0gkQmFhIRP2WV1djYEDB2LlypUIDg5GTk4OI9yYmBjo6OjAzMwMz58/h5ubGzIzM7Xy99SKcI2MjGBvb4/g4OA266AyMDBAUVGRVhwHtenWrRuqqqrA5/PRsWNHvHjxAklJSSgrK4OzszPc3Nwwd+5crVTGrM3q1avx66+/IiwsrJ5IpFIpEhIS8OjRI5ibm2PixIlMwL02SElJgZ+fH9zc3PD48WO1iwsKBAJcunQJc+bMqbMF1RQWFhaYOHEixo0bh4iICOTk5KCsrAzJycmQSCRMlU59fX1YW1vDyckJXl5eTMYTAMycORNHjhyBo6MjOnTogPv372PFihX49ttvMXz4cJSWltbpx6RJtCJc4E3TJG05qPLz89V2ULm4uIDL5WpduDKZDJaWlggICEBlZSVcXFwwcuRI9OzZs1WrY3Ts2BGzZ8/Gpk2bGOHKZDJwOBxERUXB3t4ec+fO1Urfp9r4+fnhxx9/xM8//wxLS0vExsZi5MiRLR6PiHDt2jUMHjy4RSJhsVioqqqCq6urys+4SiwsLDB16lScOXMG+vr6GDVqFPT09BAUFIS//vWvuHPnDqZOndrsOamC1oQ7fPhwHD58WOPj9ujRAwkJCWqPw2azERoa2uTWREtRKBTIyMhAUlISuFwuOnfuDCLCX/7yF63s6anK77//DjabjUePHsHY2BgRERGwtrbGZ599pvUbmEKhwKpVq3Dp0iWcO3cOU6dOhUAgwLFjx2BoaAgPD48WjZuYmIjXr19j/vz5LZ5bQUFBs0WrxMXFBREREaioqEDHjh2xYcMG9OnTBywWCyKRCB9//HGL59UUWisy7O7urvEOZcCbpXJNTY3amUIODg54/fo1KisrNTIvIkJ+fj5u376NnTt3Ijw8HF27dsWaNWuwfPlyVFdXv/c0Pzs7O8yaNQurV69GXFwc00NH26Ll8/nw8vJCeHg4YmJiGCtkamqKJUuWICoqCk+fPm32uAKBAKGhofDx8VFr9VJVVdWignYymQznz59Ht27dsGzZMoSHh+PkyZNYsmQJgDfJCtpwTAFatLhKB1V5eblGGzzr6OgwBbs8PT1bPA6LxULv3r3B4/FafLcF3nwpk5KSkJSUBLlcDldXVyxdurRe9M2gQYPA4XCYPjatTXZ2Nu7evYvBgwcjODgY1tbWzQo/bCnPnz/HlClT0KtXLyQmJtaLmjI3N8dnn32G06dPQyKRNMtC3bp1C0OGDFE786YlhdvFYjECAwNhYmKCGTNmgMViITY2FoMHD0ZFRQXy8/Nhamqq8jN3c9GaxTUyMoKbmxt27dql8bHZbLZGUuZaOk51dTViY2Nx9OhRHD58GAKBADNmzMA333yDMWPGNBgyN2TIEDx79kwrNaebori4GAEBAbh8+TIGDx6Mb7/9FmvWrMEPP/yg9YqXV65cgZeXF3x8fBAWFtZoqKOVlRW++OILPHnyBJGRkSrVpM7NzUVOTo5Gghuau70oFApx8uRJWFhYYNasWWCxWEhJSUFISAj+8Y9/wMDAAK9evcLQoUPVnltjaLUfx8KFC3H16lWNj9uzZ0/k5+erXU2yV69eyMrKgkQieeexCoUCKSkpCAwMxJ49e5CVlQVvb2/85S9/wdSpU+Hg4NCkF9bc3Bz29vZ4/vy5WnNWFbFYjNu3b+PEiRNwdHTE2rVr4ebmBl1dXfz6668QCAT417/+pbXrnzp1CkuWLMH27duxZ8+edwrD3NwcX375JdLT03HixIkmH4WICGFhYRg1apRGirDp6empVP1TGdp48OBBuLi4YOrUqUwZ3sWLF2Pu3Lng8/kwMDBAYWEh5syZo/bcmpxMM36aBY/HI2NjY5JKpc099Z0EBATQs2fP1B7n9OnT9PTp00Zfr6yspMjISNq+fTsdPXqUEhISqKampkXX4vF49N///relU1UJhUJBz549o+3bt9PVq1dJKBQ2eNydO3fI2NiYUlJSND4Hf39/MjY2pvPnzzf7XLlcTo8ePaItW7bQkydPSKFQ1DsmNTWV9u7dS3K5XBPTpZ07d1J5eXmTxwgEAgoMDKR9+/ZRXl5endf++c9/Urdu3ai4uJg2bdpEGzZsoK5du5JIJGrJdFTSolaFS0Tk4OBAx48fb8mpTRIXF0cXLlxQe5yXL1/S4cOH6/xOoVBQRkYGnT9/njZv3kwhISFUWFio9rXkcjnt2rWLsrOz1R6rIQoLC+no0aPk7+9POTk57zx+6dKl5ObmpjEBEBHt2bOHTExMKCgoSK1xSktL6ciRI3T06FEqKytjfq9QKMjf359evHih7lQZTpw4QVwut8HXFAoFJSYm0tatW+nu3bv1jBCXyyVjY2O6ffs2RURE0OHDh2nWrFk0ZcqUlk6nbQj3r3/9K40cObKlb6JRBAIBbd68mWQymVrjyOVy2rlzJ+Xn55NIJKLo6Gjy8/Ojffv2UXR0dIuta2NwOBw6fvx4g5akpYhEIrp58yb5+vpSTEyMykKsrq4me3t7+vXXXzUyj507d5KJiQndunVLI+PVtr63bt2i0tJSyszMJD8/P41+fqGhoRQZGVnv2lwul06ePNmglVUe4+bmRp9//jlVVVXRli1baOfOnTR48GB1jJVKWtSaV1nJrFmzcPz4cY2Pa2JiAmtra/B4PLXyXXV1dcFms3Hp0iVUVVWhV69emDp1Knr06KGVyKFBgwbh8ePHSE9PV7vpNP3fM9edO3fg7OyMr7/+ullJBIaGhjh9+jSmTp0KT09PTJo0qcVz8ff3x8aNG3Hp0iVMmDChxePURldXF56enujbty84HA6OHj3KBM+QBsNV7ezskJSUBODN1lBCQgLi4uJgZGQEDw8P9O/fv0Gv88qVK1FZWYmDBw/iwYMH6N69O169eoW8vDxMmTJFI3NrDB1qXle5Zregk8vlMDc3x82bN+Hl5dXc05skKSkJT58+ZfbNmoNMJkNKSgpiY2PB5/NRU1OD1atXvzOJWhMkJyfjwYMHWLVqVYu/fJWVlbh27RoqKysxbdo0tSKe9uzZg99++w0cDqdFN5Pjx49j7dq1CAgIwPTp01s8j3fB5/Nx4MABWFlZQSgUYsiQIejduzesra3VaqqVl5eHM2fOwNnZGTweD3369IG7u3u9Jtu12bt3L3799VfExMTA2toa/v7+cHBwwI0bN5CcnKxOHrZKXwitCxcAFi9eDKlUigsXLrTk9EaRyWTYtWsXvvjiC5UFV1FRAQ6Hg4SEBFhbW8PDwwNsNhtXrlxBt27dtJKC9TZEhMOHD8PT07PJ5O7Gzn327Bnu3LkDDw8PjBgxQiOhk8uWLcO9e/eQmJjYLKt9/vx5LFu2DCdOnNCuFxXAvXv3IBAIMG3aNBQUFCA+Pp6JMba0tIStrS1TTtbc3JzpHKmjowO5XM70uC0qKqpTL1okEkEmk8HT0xNeXl7vjJ2OiIhgOiNMnjwZQUFB6NixIxISEhAcHIxZs2Zhw4YNLX2bbUe4V65cwTfffIPc3NyWnN4kYWFhkEqlTS7ziAhpaWngcDjIzs7GgAED4O7uXkfs2dnZCA4Oxpo1a1qlKmN6ejquX7+Or7/+WmXh1bayyvI0XBAozQAAIABJREFUmkIul8PLywv6+voIDw9XaU4JCQkYOXIk/Pz8sHTpUo3NpSGICHv37sW8efPqBVwoS6TWFmNFRQVkMhlkMhnz99TT00PHjh1hZWXFiNzOzg7m5ua4c+cOdHR0MH78+CbnwePx4OnpiR9++AEbNmxASUkJjh8/jiFDhoDD4WDr1q2Iiop6Z+eGJlDty6fqwzC10DlFRFRVVUXGxsb04MGDlg7RKHw+n7Zs2UJisbjeazKZjBISEsjPz48OHjxIcXFxDR5H9MZ7ePDgQa1sjzTGqVOnKCoq6p3HKRQKSkhIIF9fX4qIiFDbIdcYr1+/JhcXF5o0adI7HVwlJSVka2tL69ev18pc3qaoqIh27tzZbKeUQqFQyVlXVlZGvr6+JJFIGj0mPT2dbGxsaPXq1czYp06dogcPHpCvry8tXbqUnJ2dmzW/BlBJi1oNwFBiZGSEZcuWqZTE3Vw6d+4MBweHOoENUqkU0dHR2Lt3LxITEzF58mSsWrUKgwcPbjTIX0dHB6NHj0Z4eHirdVGfOnUqHj58iNLS0kaPqaysREBAAJ48eYIlS5Zg9OjRWssq6tSpEx4+fAgej4fp06c32tZULpdj0qRJGDBgALZs2aKVubwNl8uFi4tLs1dDyl7F76JLly6wtbVttGVLeno6vL29MWnSJBw8eBAAmM5+CoUCHTt2RHR0NH744Ydmza+ltIpwAWDt2rWIj4/XWFB/bZSlP0UiEe7fv4/du3cjMzMTc+fOxeeff65ybqmLiwsMDAyQmJio8Tk2hLm5OUaPHo2goKAGbxYpKSnw9/eHnZ0dVq5cqfVkAOBNeZknT56Ax+Nh4sSJDUaVLV26FAKBAFeuXNFayde34fF46iw/VcLDwwMxMTH1Qi5TUlIYr/vRo0cBvPGVhIWFYdKkSXjy5Alyc3ORl5eHRYsWaXWOSlpNuC4uLhg8eLBWrK61tTX4fD52796N8vJyLF26FAsWLGi2p1XZdS0yMrLVGmB7eHhAT08PT548YX4nk8lw48YNhIaGYtGiRVq1sg1hZWWF6OhoFBUVwd3dHYWFhcxr27Ztw40bN3Dr1i21E+BVpaqqCiUlJVpPilD2Aqpd1ujatWvw9PTEvHnzcOTIEejq6jLdDoYOHQoulwtLS0vExMTg888/13pPKiWtJlwAWL9+PS5fvqyx8fh8Pq5du4YDBw7AxsYGdnZ28PHxYXqYtoTu3bvDxsYGHA5HY/NsCmVrjqioKJSWlqKsrAxHjhyBUCjE6tWrtZ7Y3hhdunRBXFwcnJycMHDgQDx58gS3b9/G3//+d5w/f15rlR0aIicnp1nd+1qKrq4uZs6cyXTc+89//oOFCxfi3//+N/z8/Jjj4uPjIRKJMGDAACQkJKCkpASJiYn45ptvtDq/Oqj6MExqOKeUSKVSsrCwoMDAQLXGKSwspIsXL9KWLVvo7t27JBQKSSqV0q5duygrK0vdaVJhYSFt3bpV41FTTREdHU27d+9mop80GRmkLhs3biQjIyMyNjamnTt3tvr1w8LCKCwsrNWuFx4eTmPGjCELC4t6EVVKJ1ZhYSEFBwfT8ePHafHixeTp6ampy7cd55QSPT09rFu3Dv/5z39adH52djYCAgJw+vRp2NjYYN26dRg7diyMjY2hp6eH0aNH4+7duyqlhTWFjY0NevfujUePHqk1jqpIJBIUFBSgqqoKDg4OcHd3f2+Nwhrit99+g4WFBaRSKSIiIlql91JtCgoKNN40qzEeP36MFStWICcnBydPnqxTIUWZgztq1Cgmla+4uBj37t3D+vXrW2V+SlpVuACwatUqprKhKhARUlNTcezYMVy5cgW9e/fGunXr4O3tXa+Up6urK8RisUZydUePHo3Y2NgmPb6aoLi4GIcOHYJCocA333wDPp+PmJgYrV6zuXz//ffQ19cHl8tFRUUFnJ2dERgY2CrXpv+rLKJt4UqlUqxduxbjxo3D7NmzERUVhZSUFKaONxHh8uXLzI31+vXrsLW1RXV1NUQiEWbMmKHV+dVDVdNMGlgqK5k5cyb5+Pg0eYxCoaDU1FTy9/en/fv307Nnz1Taj+NyubRv3z6NZLw8efKEDh8+rNHsmdq8ePGCfH19KSEhgfldeXk5bd26ldLS0rRyzeYSGxtLRkZG9OTJE+Z3+/fvJzMzM5o2bRrl5uZq9foVFRXk6+ur1UeHO3fuUM+ePYnNZlN8fDzz+7y8PPL19aXU1FQKCwujo0ePkkwmo5iYGDp48CBt3ryZBgwYoLEkjf+jbWQHNUR8fDwZGxtTQUFBg6/n5OTQ8ePHae/evfTixYtm/dEUCgUdOXKkjhhaikKhoGPHjtHDhw/VHuvtcSMiImjHjh0NZp1kZGTQ1q1b66SzvQ9kMhmx2Wxat25dvddyc3Np0qRJZGRkRCtXrnxnPmtLyc7OpkOHDmllbA6HQ97e3mRqako//vhjg4Et2dnZtGnTJvL19SWhUEjl5eW0ZcsWunTpEu3atYuMjY2puLhYk9Nqe8+4SgYNGoQJEybUSw4oKSnBuXPncP78ebi6uuLrr79Gv379mvW8p8ktnbc9vppAIpHgwoULSEtLw8qVKxtcAjo6OmLUqFEIDAxUu8qHOnz//feQy+XYtm1bvde6deuGmzdvIjw8HM+fP4ejoyP+9re/abw3skAgaFEht6bg8XiYNm0aRo4cCRcXF2RmZmLTpk0Nbrnp6Ogw37+oqChcvXoVgwcPxqtXr7B//36sX79erV2MFqOqwkmDFpfoTRUDQ0NDevnyJb1+/ZqCgoLI19eXoqKimgw7U5WzZ8+qFE6oCppaMvP5fDpw4ABdvXpVpaogoaGh5O/v39JKCmrR0BK5KW7cuEEDBgwgExMTWrhwoUaqkxC98bZfu3ZN7XHkcjkFBASQp6cnGRgYkI+PD2VkZDR5Tn5+Pm3dupW4XC5VVVWRv78//etf/6Ljx4/Tpk2bqFOnTiQQCNSe21u03aWykhUrVtDw4cOZbR1NfkHLyspoy5YtVFJSovZYmlgyZ2Zm0rZt2+jx48cqL/0VCgVdv36dDh8+3KpbU00tkd/F48ePycfHh4yMjGjw4MHk5+dHr1+/bvFc7t69S/fu3Wvx+Vwul/7yl79Q165dqWvXrrR+/XqVqpkUFRXRtm3bKDk5mYiIWSIHBQXRP/7xD2Kz2bRr164Wz6sJ2r5w8/Pzyc7OTmt7dJp0Lin/cI09lzcFh8OhrVu30qtXr5p9rkKhoJCQEDp8+HCrWd4///nP1Lt3b7VWPuXl5fTLL78Qm80mfX19GjJkCG3cuLHZTregoCDicDgqHy+Xy+nu3bu0bNkycnR0JENDQxoxYgSdOXNG5e9BQUEBbdu2jZKSkojozY3s6NGjFB4eTtu2baO///3v1Lt370YTVtSk7QuXiGjDhg3Ur18/bQzNWMpHjx5pZLykpCTauXNnowXYGrr+7du3yc/Pj0pLS1t8XYVCQTdu3CB/f3+qrq5u8Tiq8Pz582YtkVUhNzeXNm3aRMOHDycDAwOytramESNG0DfffEMBAQFNOncuX77caDE/uVxOycnJ5OfnR0uWLCE3NzcyMTEhCwsL8vHxoTNnzjT7Zpebm0tbt26tU9MqJCSEzpw5QxcvXqQbN26QlZUVnT59ulnjNgOVtNgq+bhNUVFRAQcHB5w+fVore2Hl5eU4fPgwli1bppHqFmFhYcjOzsbnn3/eZPywXC5HcHAw+Hw+Fi1apHZcLxHh7t274PF4WLhwISwsLNQarzHGjRsHGxsbnDlzRivjSyQSPHr0CJGRkYiLi0NycjJycnLAYrHQuXNndOnSBVZWVrCwsEDHjh1RUVEBfX196OvrQyQSobi4GKWlpeDz+aioqICBgQF69eoFV1dXDB06FGPGjEHfvn1blPzA5XIRHByMGTNmMAkNsbGxiImJwciRIxEZGYmcnBxcvXoVL1++1FaCRdtJpH8XW7duxf79+5GRkaGN4REdHY3nz5/jyy+/VPvDJiKmgn3t5sm1UXqOdXV1MXfuXI3U/lXC4XAQGRmJWbNmqV2z6m2ioqIwadIkvHr1qlUykZQoFArk5eUhPT0dmZmZyMrKQnFxMSQSCfLy8mBiYgJzc3MYGhrC3t4e3bt3h5OTE3r16qWRTgFEhKioKMTGxmLBggVMyZrMzExcvHgRixYtQmBgIGbMmAEPDw8EBARg8uTJal+3EdpOIv27EIlEZGNjQ//85z+1Mr6ml8w1NTW0b98+iomJqfdaVVUVHTp0iK5evaq1wI2WOLpUwcPDg9asWaOx8TRBU0tlTSCRSOjChQt06NAhqqysZH5fOxDm0qVLdPPmTfLx8aFhw4ZpO4687e7jvo2BgQFOnz6NzZs3qxwK2RyU+7EPHjxASUmJ2uPp6+tj4cKFuHfvXp1VwuvXr3H06FE4OTlhxowZWstV7dGjB5YvX46nT58iODhYIymIwcHBSE1NbXEcubZgsVhaS7GsqKjAsWPHwGKx8MUXXzD7xRKJBIGBgRgxYgRqamqQl5cHIkJoaChOnTrVNuLIVVU4adHiKlm2bBl99NFHWhs/ISGB9uzZozEHT3p6Om3dupWKioqosLCQtm/frlGnzrsQi8V07tw58vf3p6KiohaPI5fLic1m08aNGzU4O82g7nZQYyQnJ9O2bdvo4cOHdSyoTCajs2fP0tWrV6mwsJB8fX0pIyODrK2tWysz6sNwTtWmsrISzs7O+Oabb/DLL79o5Rq3b99GcXExPv30U41YxMTERNy6dQsAMGXKlGZXbVQXIkJcXBzCw8OZKoXNfV9Hjx7FTz/9hOzs7Pfav7chYmJiUFJSorEG0dXV1bh58yby8/Mxc+ZMdO/enXlNoVDg0qVLkMlkmDZtGo4dO4bRo0fjt99+Q25uLqKjo1uj4odK5rxNLJWVmJmZ4cyZM9iyZYtWlswAMH78eOjo6CA0NFQj45mamkIul0NHR6fJOrzaQkdHB+7u7li1ahUyMzNx5MgRFBcXq3y+XC7Hb7/9hp9//rnNiRZ4U/heKBRqZKyUlBQcOHAAJiYm+Oqrr+qJ9urVqxCLxZg9ezYuX76Mvn37oqioCKGhoQgICGi1Mj0qoappplZYKivR9pK5urqa9uzZUycTpCWkpaUxS6mYmBjatWuX1oLtVUGhUFBsbCxt2bKF7t27p1JY5aZNm8jJyUlrjjR10USSgUAgoIsXL9KePXsaLLQgl8vpypUrdPz4cZJIJHT9+nVmD7gVl8hKPowAjIaoqKgga2trrXmZid6UF/X19W1xxYzU1FTy9fWlzMxM5ncxMTG0Y8cOtYItNAGfz6ezZ8/Szp07KSEhoVFRyuVysrOzo2PHjrXuBJuBOml9IpGIwsLCaMuWLRQaGtpgJJhMJqOLFy/SyZMnSSwWU2xsLPn5+ZFIJCIfHx9yd3dv7Zvahytcojc5kiYmJhopRdMYPB6Ptm3b1uxYWqVoG5pbfHw8bd++XS1nkabIysqiI0eO0P79++nly5f1vvwXL14ka2vrNmttid6sInx9famiokLlc6RSKT169Ii2bt1KV69eJT6f3+hxgYGBdObMGZJKpZSZmUlbt26l0tJSCg0NJSMjI0pNTdXUW1GVD1u4RG+SEHr27KnVL1ZUVBQdOHBAZU+zcnncVKvMxMRE8vX1JR6Pp6lpthiFQkEvX76kffv20ZEjRyg9PZ0RsLe3N3333XfveYbv5vTp0yoVqpdKpRQfH087duyggICAJm+eAoGAjhw5QufPnyepVErFxcVMPHlJSQl16dJFW0kE7+LD8yq/TU1NDYYNGwYrKyvcuXNHK9eg/9ufy87OxpIlS+qVw6lNRkYGLl68iPnz57+zVGhOTg4uXLiAoUOHYvjw4e9970+hUCAxMREPHz6Ejo4O7O3tsWDBAmRkZLRqlFRLCA8PBwB88sknDb7++vVrcDgcPH36FDY2Nhg9ejQcHBwaHa+goACBgYEYNGgQRo0ahfLycpw4cQLjxo1D//79wWaz4ebmhvPnz7+Pv9uHEznVFPn5+WRhYUE//PCD1q6hUCjo2rVrdOTIkUYzPjIzMxlHlKq8fv2a/P396fLlyxrJMdYECoWC0tPTafr06TRkyBC6du2aRpp2a5OUlJR6Qf0KhYJ4PB6dPXu2Tv/cd5GUlES+vr5MEkF5eTnt2LGD4uLiiIho0qRJ1L9/f60nczTBh29xlXA4HIwaNQonT57UWkc4IkJISAjKy8uxePHiOlsjRUVFOHnyJGbPnt3s+GCpVIrg4GCUl5djwYIFMDMz0/TUm41UKoW1tTWOHTuGzp07Iz4+HmZmZmCz2WCz2bCysnrvK4TaVFVVYe/evfjzn/+M/Px8cLlcvHz5sk7/2nfFgxMRIiIikJiYiIULF6Jr1654/fo1Tpw4AU9PT3z88cfYuHEj9u/fj8TExPeytfd/fDhJBqpw9uxZfPXVV4iNjdVaKwqFQoFr166htLQUixcvhoGBARPGOGHChBYHVxD9/yD2efPmNbmMaw0OHDiAbdu2IS0tDcCbvdysrCxwuVxwuVzo6OgwIu7evXurdlF4m5qaGrx69Qo3b96EVCqFlZUVXFxcwGazYWNjo9INpqamBlevXoVIJML8+fNhbGyMsrIynDp1CsOHD8fHH3+MoKAgLF68GOHh4Rg6dGgrvLNG+WMJF3hTA+n06dNIS0uDkZGRVq5BRLhx4wby8/Mxe/ZsBAQEwMPDQyN/TC6Xi5CQELi5uWH06NFar8zfGAMGDMCCBQvw888/13uNiFBcXMyIuLS0FF27doWtrS3TmtLCwkIrwQgNtcssLy+Ho6MjdHV1YWhoiJkzZzZrzFevXiEkJARsNhsTJ04Ei8VCSUkJTp06hVGjRmHIkCFIS0vDoEGDsHfvXq23C1WBP55wlV3iSktLkZCQoLXrEBFu3bqF+Ph4DBo0CFOmTNHY2EKhENevX0dZWRlmzpzZ6ksyDoeD0aNHo7CwECYmJu88XiQSMSIqKChAfn4+qqqqYGNjg86dO8PExASmpqYwNTVl/m1oaAhdXV3o6upCR0cHCoUCCoUCcrkc1dXVEAgEzI9QKIRQKERZWVmDDaptbGygp6eH4uJinD17Ft9++63KVvb27dvIyMjAjBkz0LNnTwBAbm4uzp07h3HjxmHgwIGoqalBz549sWDBAuzcuVPtz1cD/PGEC7yJZx44cCCGDRuGgIAArVxDLpcjICAAIpEIlZWVmD9/vkaXt0SEFy9e4NatW61ufVesWIGSkhIEBQW1eAyRSISioiJUVFRAKBQyAlSKsaamhhGrQqFgRMxisWBsbMwIvLboO3fuzIi0IYjeNLaeO3fuO4ujK62ss7Mzxo8fD319fQDAs2fPEBoayiTKKxQKuLu7o1OnTrh79+57fSSoxR/Dq9wQr169oi5dujANhjWJQqGgy5cv09mzZ0kulxOPxyNfX1+1wyMbQiAQUGBgIO3bt0/rhcWVODo6arPsilaJjIyk4ODgRl8XiUR09epV2rlzZ53aVnK5nG7fvk27d++uUyZn5MiRxGazGw3QeE98+AEYTZGcnEydO3fWeADB7du36ciRI3W2b0pKSmjPnj108+ZNjQeDKBQKSkpKYqJ81KmI+C54PB4ZGhq+l3KvmkAgENDmzZvrzV/ZXWDbtm0UEhJSpyKmSCSi06dP04kTJ+ps8YwfP5569uyp6WLmmuCPsx3UGImJiRgxYgS+/vprbNq0Se3xOBwOoqOjsWzZsno1okQiES5dugQiwty5czXeG7ampgYPHz5EXFwc3Nzc4O3trXEH3C+//IJ79+7hwYMHGh23Nbl48SIcHBwwdOhQEBGeP3+OiIgIdOnSBWPHjoWtrS1zbGlpKQIDA9GrVy9MnDiRcahNnz4dz549Q0xMTFsMPvnjLpVrw+FwyMTEhH788Ue1xqkdp9oYcrmcbt26RXv27NHanbqyspJCQkKYDB9NlgAdNGgQbd68WWPjvQ8yMzPJz8+PeDweHTx4kA4dOkTp6en1jlM+4igDK5RMnz6dbG1tKScnp7Wm3Fz++BZXSVxcHD755BN88cUX2L17d7PPf/36NQ4fPqxyAbanT5/izp078PLywrBhw7SyNVJWVoaIiAhkZWVhxIgRcHNzUytfls/nw9bWFunp6a3WslLTEBEyMzMRGBiIjh07YsqUKejTp08dL7NEIsGdO3fA4/EwZ86cOjm3EyZMQEpKCh4/fvzeGoarwB/Tq9wYiYmJGDVqFBYsWICDBw+qfJ5EIsHRo0fh5uaGYcOGqXwen89HUFAQ5HI5Zs6cqZHSrw2Rn5+PBw8eICsrC66urnB3d29Rr5p9+/Zh//79ePHihRZmqV3EYjGePXsGDocDIkKvXr2QmpqKNWvW1LlpZmRkIDg4GI6Ojpg4cSITd65QKDBmzBjk5OTg4cOHdZbTbZD/LeECbyoceHt7Y8KECSptFRERLly4AH19fcyYMaPZYX5EhNjYWERGRsLb21tr1hd4U9gsLi4OCQkJsLS0hIeHB9hstspbGOPGjYOrq2tb2atUiaKiIsTGxuLFixfo2bMnPDw8mOSOkydPon///hgyZEgdKztt2jQ4OzszY0gkEnh5eaGyshJRUVHvp0FX8/jfEy4ApKWlYdy4cejUqRMePXrUpIMnMjISaWlpWLp0qVr7qK1lfYE3e8wpKSngcDgoLy/HoEGD0K9fP1hbWzd645HL5ejcuTPu37+PQYMGaW1umqC6uho8Hg8JCQng8/kYPHgwhgwZUq9jX15eHs6dO4fp06fjxo0b9awsAGRnZ8Pb2xv29va4du0aunTp0tpvpyX8bwoXeBOkMWfOHDx//hyRkZENxjYnJyfj9u3bWLlypUoRRO+itvUdPnw4hg0bpvWgiuLiYsTHx4PL5QIAE8Pbo0ePOpb47t27+PTTT1FUVKTV+bSU0tJScLlc8Hg8FBUVwcnJCa6urk2uKKqrq3Ho0CFUV1dj7ty5daws8KYo4Pz587F48WLs2bNHo0Xptcz/rnCBN1bmb3/7Gw4ePIijR49i7ty5zGvFxcU4ceIEPv30U407avh8Pm7fvo2CggKMHj0aAwcO1HqRMSJCSUkJE19cVlaGXr16wcXFBU5OTvD19cWDBw8QGRmp1XmoilQqRV5eHng8Hng8HiQSCXPTcXJyavKGJ5FI8PjxY0RHR8PFxQWpqan1/o7//ve/8Z///Ac7duzA6tWrW+MtaZL/beEqOXv2LFauXIm1a9diy5YtkEgkOHz4MDw9PbW6bMzJyUFYWBiqqqrwySef1PN+ahOhUMiIIjs7G5cuXYKDgwPWrl3LxAFrull0Y0ilUhQWFtZLHLC2tkbv3r3BZrNha2v7zs9GLpcjLi4ODx48gKOjI8aMGYMuXbowxQFWrVoFHR0dzJ49G/fu3UNISAi8vb1b5T1qmHbhKuFwOJg8eTIGDhyINWvWAAB8fHy0LiQiwqtXrxAWFoYOHTpg7NixcHR01Oo1G5qDk5MT1q9fj759+zKJAiwWC7a2tjAzM6sXN2xqagojI6N3rhSICGKxuE6ccu1/l5SUoLy8HFZWVnUSB6ytrVV+jKBaQRYWFhYYO3ZsnaAJIsK5c+dgYmKCH374AQqFAqGhoXW2gT4w2oVbm4KCAkyfPh0ymQyXLl3SeMOspiAiJCUlISIiApaWlhgxYgQcHBxaxQLX1NTAzMwMhYWFjHOGiFBRUYHCwsJ6mTrK/4pEIhgYGDDJAUoR104ekEgk0NHRqSP82v+1tLRslkhro1AowOVyce/ePejp6WHcuHGN3vQiIyPxpz/9CWw2G2fOnIGxsXGLP682QLtw30YsFmPt2rUIDAzEhg0btNYtoTGUy73o6Gh06NAB7u7uGDBggFYLkd+9exdLlixBQUFBs86Ty+V1snzkcjmIiBGxrq4uOnTowGTeaAqhUIj4+HjExcWhU6dO8PT0bPQxQ6FQYPny5Th37hx++ukn/Pzzz22qckcLaRduYyi9rFZWVrhx40arL6uICBkZGYiNjUVmZiZcXV3h4eGhlT3GX3/9Fffv328zjqmGICJkZ2cjNjYWaWlp6NevHzw8PJqMI46OjsacOXNgamqKc+fOYcCAAa04Y63SLtymEAgE+O6773D+/Pn3Yn2VVFRUID4+HvHx8bC0tIS7uzvYbLbGtpKmTJkCFxcX7Nq1SyPjaZKamhokJSUhNjYWRAR3d3cMHDiwyUqbta3shg0b8NNPP31IWz2q0C5cVXjf1leJXC7Hy5cvweFwUFBQgJ49e8LFxQXOzs5qPbMpt4PmzZunwdm2HD6fz+zZ5uXloXfv3nB3d4ejo+M7l7l/YCtbm3bhqkpbsb5KqqqqkJqaCh6Ph/T0dFhbWzPF2ywsLFR+jpNIJDAxMUF+fr5Wo7magoiQl5fHiLWqqgrOzs5gs9no2bOnSs/3/wNWtjbtwm0ud+/exWeffQYDAwPs3r272YXJtIFMJkNGRgZ4PB64XC46dOgAJyenOlsrjUUXpaSkYNiwYaioqGi1+UokEhQWFjLbTsrCfsoAi27dujUrIGXv3r345z//CQsLiz+yla1Nu3BbQk1NDfz8/PD777/D3t4ehw4dgpeX1/ueFoA31quwsBBZWVlMMAOfz4e1tXW9fVIWi4Vr165hzZo1yMrK0sp8aotUKdTa87G1tYWTk1OLYoTPnz+P9evXQywWY/v27Vi0aFFbqQmlbdqFqw4VFRXYvHkzdu/ejf79++PUqVNaq+esDkrxvB2ZZGRkhJSUFDx8+BC+vr71AiyUe7S1qzESUYMVGRsKsBAKhRCLxY3eNFpKZGQkVq9ejcLCQvz+++/46quvNL7l1MZpF64mKCgowG+//YbTp0/Dy8sLp06daovlTuogl8shFAqxceNGJCUlwdfXt54AxWJxnWCK2tUYlT9GRkYNBlc0J7pKVZ6BowhuAAAEH0lEQVQ/f46lS5fi5cuX+Otf/4rvv/++1cIy2xj/G6VrWovU1FSaNWsWGRkZ0cyZM+v0xW2rLFmyhJYuXfq+p9EksbGx5O3tTYaGhrRmzZq2WLyttVFJi9pNW/kD0bt3b1y+fBlRUVHQ0dFBnz59MGDAAJw7d+59T61RCgsL22SZGoVCge3bt6NXr14YOXIk+vTpg+TkZPj5+X0Iie5tA1UVTv/jFvdtCgoK6PfffycLCwuysbGhr776qq3V5yU3Nzfav3//+54GQ1ZWFs2dO5c6d+5Mjo6O5Ofn16yG1f8jtFtcbdK1a1ds3LgRhYWF8Pf3x/Pnz2FnZwcvLy/cv3//fU8PwJuCc62djdQQ586dw8CBA8FmsyGVShEUFIT09HSsWbOmTXQv/CBRVeHUbnHfCY/Ho3Xr1pGxsTF169aN5syZQw8ePHhv8zE1NSUul9vq15XL5XT58mWaMGECWVtbk4WFBf3jH/+ggoKCVp/LB8j/TnnWtkZ1dTVCQ0Nx4cIFhISEoEOHDvjoo4/w5ZdfYsmSJa3SJ0ihUEBPTw81NTVazT5SUl1djX379uHcuXNITU2Fvr4+5syZg9mzZ2PMmDHvrTPhB0j7dlBbQC6XIzo6GleuXMH58+dRWlqKnj17wsfHB99++63WQhFrampgbGwMuVyulfGBN+VQd+zYgdDQUGRlZaFXr15YuHAhfHx80L9//z9Cit37oF24bZHU1FQEBwfj3LlzSEhIgLm5Obp27QpXV1dMnDgRPj4+Gnnuq6yshIWFBaRSqQZm/cZDffnyZdy9excpKSkoKipCVVUVvL29sXDhQkybNq2t1yv+UGgXblunuroaiYmJ4HA4ePToEZ48eYKcnJx6Yh41ahQcHByaFexQWlqKbt26QSwWN2tOCoUCqampCAsLqyNSoVCI3r17M90bhgwZgo8++uiPHOz/vmgX7oeIUsxxcXF4+PAhoqOjkZ+fD6lUCmNjY+anU6dOsLS0hIODA3r16oXevXvD2NgYhoaG0NfXh0AgwMyZM/Hw4UOIRCKIxWKIxWK8fv0aqampSE9PR25uLsrKyiAQCFBVVQWhUIjq6moYGBigR48e7SJ9P7QL949EVVUVE8ivjEnOyclBdnY2cnJyUFhYCIlEArlczvzo6+ujpqYGenp60NPTA4vFgoGBAWxtbeHg4IAePXrA3t6+Tqxx165dm0xkb0frtAu3nXY+QFQSbnsARjvtfIC0C7eddj5A2oXbTjsfIO3CbaedD5B24bbTzgdIu3DbaecDpF247bTzAdIu3Hba+QBpbq5Ve7pHO+20AdotbjvtfIC0C7eddj5A2oXbTjsfIO3CbaedD5B24bbTzgdIu3DbaecDpF247bTzAdIu3Hba+QBpF2477XyAtAu3nXY+QP4fIHYHSpJoCAYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def calc_circle(c, r):\n",
" theta = np.linspace(0, 2*np.pi, 1000)\n",
" return c + r*np.exp(1.0j*theta)\n",
"\n",
"def plot_smith(pts):\n",
" n = net.Network(s=pts)\n",
" n.plot_s_smith()\n",
" \n",
"cl_points = calc_circle(cl_900mhz, rl_900mhz)\n",
"plot_smith(cl_points)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.6708525437591126 (-2.5981379513480034+0.3651291372436944j)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rs = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s11.s) - sqabs(delta)))\n",
"cs = np.conj(bjt.s11.s - delta*np.conj(bjt.s22.s))/(sqabs(bjt.s11.s) - sqabs(delta))\n",
"\n",
"rs_900mhz = rs[idx_900mhz][0, 0]\n",
"cs_900mhz = cs[idx_900mhz][0, 0]\n",
"\n",
"print(rs_900mhz, cs_900mhz)\n",
"\n",
"cs_points = calc_circle(cs_900mhz, rs_900mhz)\n",
"plot_smith(cs_points)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# let's plot all of them\n",
"# output stability first\n",
"\n",
"for i, f in enumerate(bjt.f):\n",
" # decimate it a little\n",
" if i % 100 != 0:\n",
" continue\n",
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cl[i][0, 0], rl[i][0, 0]))\n",
" n.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# input stability\n",
"for i, f in enumerate(bjt.f):\n",
" if i % 100 != 0:\n",
" continue\n",
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cs[i][0, 0], rs[i][0, 0]))\n",
" n.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"22.571169647701225\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# so not very useful, because the transistor isn't unconditionally stable\n",
"# time to draw the circles of constant gain and try to find a useful point\n",
"\n",
"K = (1 - sqabs(bjt.s11.s) - sqabs(bjt.s22.s) - sqabs(delta))/(2*np.absolute((bjt.s12.s)*(bjt.s21.s)))\n",
"G_msg = np.absolute(bjt.s21.s)/np.absolute(bjt.s12.s)\n",
"print(10*np.log10(G_msg[idx_900mhz, 0, 0]))\n",
"\n",
"# let's draw a bunch of curves I guess\n",
"\n",
"b1 = 1 + sqabs(bjt.s11.s) - sqabs(bjt.s22.s) - sqabs(delta)\n",
"b2 = 1 + sqabs(bjt.s22.s) - sqabs(bjt.s11.s) - sqabs(delta)\n",
"c1 = bjt.s11.s - delta * np.conj(bjt.s22.s)\n",
"c2 = bjt.s22.s - delta * np.conj(bjt.s11.s)\n",
"\n",
"gamma_ms = (b1 - np.sqrt(np.square(b1) - 4 * sqabs(c1) + 0.j))/(2*c1)\n",
"gamma_ml = (b2 - np.sqrt(np.square(b2) - 4 * sqabs(c2) + 0.j))/(2*c2)\n",
"\n",
"for G_p in [1, 2, 5, 10, 10**(15/10)]:\n",
" g_p = G_p/sqabs(bjt.s21.s)\n",
" r_p = (1 - 2*K*np.absolute(bjt.s12.s*bjt.s21.s)*g_p + sqabs(bjt.s12.s*bjt.s21.s)*(g_p**2))**(0.5)/np.absolute(1 + g_p * (sqabs(bjt.s22.s) - sqabs(delta)))\n",
" c_p = (g_p * np.conj(c2))/(1 + g_p*(sqabs(bjt.s22.s) - sqabs(delta)))\n",
" r, c = r_p[idx_900mhz, 0, 0], c_p[idx_900mhz, 0, 0]\n",
" #print(g_p, r, c)\n",
" points = calc_circle(c, r)\n",
" n = net.Network(name = 'G_p = {}'.format(G_p), s=points)\n",
" n.plot_s_smith()\n",
" \n",
"cl_points_net = net.Network(name='stability circle', s=cl_points)\n",
"cl_points_net.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"load_points = calc_circle(c_p[idx_900mhz, 0, 0], r_p[idx_900mhz, 0, 0])\n",
"\n",
"load_points_net = net.Network(name='gain circle', s=load_points)\n",
"cl_points_net = net.Network(name='stability circle', s=cl_points)\n",
"\n",
"load_points_net.plot_s_smith()\n",
"cl_points_net.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, True)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#np.absolute(bjt.s21.s[idx_900mhz, 0, 0])\n",
"\n",
"c_p_900mhz, r_p_900mhz = c_p[idx_900mhz, 0, 0], r_p[idx_900mhz, 0, 0]\n",
"#d = c_p_900mhz - cl_900mhz\n",
"#gamma_l = c_p_900mhz + r_p_900mhz * d/np.absolute(d)\n",
"gamma_l = c_p_900mhz + r_p_900mhz * (np.exp(1.0j*np.pi*1.5))\n",
"gamma_l = 0.0\n",
"\n",
"# check stability against the stability circle\n",
"is_gamma_l_stable = np.absolute(gamma_l - cl_900mhz) > rl_900mhz\n",
"gamma_l, is_gamma_l_stable"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# no output network right now\n",
"\n",
"#z_l = net.s2z(np.array([[[gamma_l]]]))[0, 0, 0]\n",
"#print(z_l)\n",
"\n",
"#Q = np.sqrt((50 - np.real(z_l))/np.real(z_l)) \n",
"#x_1 = 50/Q\n",
"#x_2 = Q * np.real(z_l)\n",
"\n",
"#print(x_1, x_2)\n",
"\n",
"#z_tmp = 1./(1./50 + 1./(1.0j * x_1))\n",
"#x_cl = 1.0j*(np.imag(z_l) - np.imag(z_tmp))\n",
"#z_eff = z_tmp + x_cl\n",
"#print(z_l, z_tmp, z_eff, x_cl)\n",
"\n",
"# TODO set fc somewhere up above\n",
"#l_l = x_1/(2*np.pi*915e+6)\n",
"#c_l = 1./(1.0j*2*np.pi*915e+6*x_cl)\n",
"\n",
"#print(l_l, c_l)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# just to double check, let's apply these two components to S22 and see if the load effectively sees 50 ohms\n",
"#z_tmp = z_l - 1.0j/(2*np.pi*915e+6*c_l)\n",
"#z_eff = 1/(1.0/z_tmp + 1.0/(1.0j*2*np.pi*915e+6*l_l))\n",
"#z_tmp, z_eff"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"#output_network = tem.capacitor(c_l)**tem.shunt_inductor(l_l)\n",
"#output_network_backwards = tem.shunt_inductor(l_l) ** tem.capacitor(c_l)\n",
"\n",
"#output_network\n",
"\n",
"#(output_network_backwards ** tem.load(np.conj(gamma_l))).plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(-0.49050989386248095+0.06079170987484189j) True\n"
]
}
],
"source": [
"# woo, it probably works! time to work out the source matching network \n",
"# and then cascade all three of them to see if that works\n",
"\n",
"gamma_in = bjt.s11.s + bjt.s12.s*bjt.s21.s*gamma_l/(1 - bjt.s22.s*gamma_l)\n",
"gamma_s = np.conj(gamma_in)\n",
"gamma_s = gamma_s[idx_900mhz, 0, 0]\n",
"\n",
"# check stability against the stability circle\n",
"is_gamma_s_stable = np.absolute(gamma_s - cs_900mhz) > rs_900mhz\n",
"print(gamma_s, is_gamma_s_stable)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(26.97971488195685+2.7318244658221826j)\n",
"54.129414947805486 24.92149130742698\n",
"54.129414947805486 22.189666841604797\n",
"9.415261153678219e-09 7.838776028381008e-12\n",
"(26.979714881956852+2.7318244658221786j)\n"
]
}
],
"source": [
"# time to calculate the source matching network\n",
"r_series = 10.\n",
"z_s = net.s2z(np.array([[[gamma_s]]]))[0, 0, 0] + r_series\n",
"print(z_s)\n",
"\n",
"Q = np.sqrt((50 - np.real(z_s))/np.real(z_s))\n",
"x_1 = 50.0/Q\n",
"x_2 = Q*np.real(z_s)\n",
"\n",
"print(x_1, x_2)\n",
"\n",
"z_tmp = 1./(1./50. + 1./(1.0j * x_1))\n",
"z_tmp\n",
"\n",
"x_l_s = x_1\n",
"x_c_s = -np.imag(z_s) + np.imag(z_tmp)\n",
"\n",
"print(x_l_s, x_c_s)\n",
"\n",
"#c_shunt_s = -1.0/(2*np.pi*915e+6*x_shunt_s)\n",
"l_shunt_s = x_l_s/(2*np.pi*915e+6)\n",
"c_series_s = 1.0/(2*np.pi*915e+6*x_c_s)\n",
"print(l_shunt_s, c_series_s)\n",
"\n",
"# double checking to make sure the match works as expected\n",
"z_tmp = 1.0/(1.0/50.0 + 1/(1.0j*2*np.pi*915e+6*l_shunt_s))\n",
"z_eff = z_tmp + 1/(1.0j*2*np.pi*915e+6*c_series_s)\n",
"print(z_eff)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# now to implement it using two port networks\n",
"input_network = tem.shunt_inductor(l_shunt_s) ** tem.capacitor(c_series_s) ** tem.resistor(r_series)\n",
"\n",
"#check stability by seeing how it looks from the transistor\n",
"input_network_backwards = tem.resistor(r_series) ** tem.capacitor(c_series_s) ** tem.shunt_inductor(l_shunt_s)\n",
"print(np.all(np.absolute(input_network_backwards.s11.s - cs) > rs))\n",
"input_network_backwards.s11.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# see how it looks from the source\n",
"net.connect(input_network, 1, tem.load(gamma_in), 0).plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# let's see what the final network looks like\n",
"#output_network = tem.capacitor(c_l) ** tem.shunt_inductor(l_l)\n",
"input_network = tem.shunt_inductor(l_shunt_s) ** tem.capacitor(c_series_s) ** tem.resistor(r_series)\n",
"\n",
"amplifier = input_network ** bjt #** output_network\n",
"amplifier.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([[17.28204483]]), array([[53.48161129]]))"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gain = np.square(np.absolute(amplifier.s21.s[idx_900mhz]))\n",
"10*np.log10(gain), gain"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.04045622]])"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.absolute(amplifier.s12.s[idx_900mhz])"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"amplifier.s11.plot_s_db()"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"amplifier.s21.plot_s_db()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# let's see what the final network looks like with imperfect components\n",
"#print(c_l, l_l, l_shunt_s, c_series_s)\n",
"#output_network2 = tem.capacitor(3.9e-12) ** tem.shunt_inductor(12e-9)\n",
"input_network2 = tem.shunt_inductor(9.1e-9) ** tem.capacitor(7.5e-12) ** tem.resistor(10.)\n",
"\n",
"amplifier2 = input_network2 ** bjt #** output_network2\n",
"amplifier2.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"amplifier2.s11.plot_s_db()"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[53.4512497]]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"print(np.square(np.absolute(amplifier2.s21.s[idx_900mhz])))\n",
"amplifier2.s21.plot_s_db()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"amplifier2.s22.plot_s_db()"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"delta_full = amplifier2.s11.s*amplifier2.s22.s - amplifier2.s12.s*amplifier2.s21.s\n",
"rl_full = np.absolute((amplifier2.s12.s * amplifier2.s21.s)/(sqabs(amplifier2.s22.s) - sqabs(delta_full)))\n",
"cl_full = np.conj(amplifier2.s22.s - delta_full*np.conj(amplifier2.s11.s))/(sqabs(amplifier2.s22.s) - sqabs(delta_full))\n",
"\n",
"# let's check the finished amplifier's stability\n",
"# output stability first\n",
"\n",
"for i, f in enumerate(bjt.f):\n",
" # decimate it a little\n",
" if i % 100 != 0:\n",
" continue\n",
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cl_full[i][0, 0], rl_full[i][0, 0]))\n",
" n.plot_s_smith()"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rs_full = np.absolute((amplifier2.s12.s * amplifier2.s21.s)/(sqabs(amplifier2.s11.s) - sqabs(delta_full)))\n",
"cs_full = np.conj(amplifier2.s11.s - delta*np.conj(amplifier2.s22.s))/(sqabs(amplifier2.s11.s) - sqabs(delta_full))\n",
"\n",
"# input stability\n",
"for i, f in enumerate(bjt.f):\n",
" if i % 100 != 0:\n",
" continue\n",
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cs_full[i][0, 0], rs_full[i][0, 0]))\n",
" n.plot_s_smith()"
]
},
{
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}