{ "cells": [ { "cell_type": "markdown", "id": "da5b2298-8397-4148-85fe-23002f4f666a", "metadata": {}, "source": [ "# Taritement du signal LOC reçu par l'avion\n", "\n", "Franck Daout\n", "\n", "septembre 2023" ] }, { "cell_type": "code", "execution_count": 1, "id": "f0eafc5c-7987-4044-8094-ed5fea17857f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using matplotlib backend: \n", "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n", "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab \n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "317eddbb-fa74-4c2d-8608-42554e48ff90", "metadata": {}, "source": [ "## Traitement du signal LOC \n", "\n", "La première étape consiste à importer les données \"LOC\" sauvegardées à la leçon précédente. Ces données représentent le signal reçu par l'avion." ] }, { "cell_type": "code", "execution_count": 2, "id": "47ef2100-3e1f-41ce-bca1-36209ff0f59a", "metadata": {}, "outputs": [ { "data": { "image/png": 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IPTQ0FNWrV89RfY/g4GBlaaDiu3h5eantM/pkt89duHABT548wciRI9Xq83Tq1AmVK1fGnj17dM5b8b3++OMPZGRkaB1n69atqFKlCipXrqy2n7Rq1QoAcPToUYO+h6pDhw4hNTUVY8eOVStNGDZsGLy8vDRilsvlGDx4sEHzVt0mk5OT8ezZM7zzzjsAoLFPaxMQEIBu3bop33t5eWHAgAEICwvTaLXz8ccfq5X0NG3aFOnp6YiMjNQaj7H7SK1atTTOBbpefn5+eueVlJSktXRVsc1kVw2gV69eWLNmDQYMGICuXbviyy+/xIEDB/D8+XN8/fXXeqe1Bd5mspClS5eiYsWKiI+Px+rVq/HXX39p3bAAwNPTU601jiFGjhyJLVu2oEOHDihevDjatm2LXr16oX379jqnUexwWVsYuLi4aBTlK5QqVUrtvSLpefHihXJYVFQUpk+fjl27dqkNB2Bwkakqc88PAJ4+fYqXL19ixYoVOpuKKiouKmStwZ8dbUWvFStWxJYtW9SGubi4aCS1kZGRCAgIQIECBdSGK4qIVQ+W+paVmJiIp0+fws/PD0lJSZgzZw7WrFmDR48eqdW9UV2PkZGRaNSokcb8tLVEuXHjBqZNm4YjR45oJA+m/DaK71WpUiWNz6pUqYIDBw5oVJDWt016eXnpXFbTpk2Vt7FCQ0Ph7++POnXqoFatWggNDUWbNm1w4sQJjQr6xsoanyLGrNuyodNn3ef0rbPKlSvjxIkTOufdu3dvrFy5EkOHDsWUKVPQunVrfPDBB+jRo4cyyfj7778RHh6udutMVdb9xBC6YnZzc0PZsmU1tu/ixYsb3AozLi4Os2bNwqZNmzRiM2SbLF++vMatqIoVKwKQqgeoJg2GHA9zso8UKlTI6HOBLvny5dNaxyk5OVn5ubGaNGmChg0b4tChQzmOz9yYzFhIgwYNlDXAu3btiiZNmqBv3764ffu23voDhipWrBguX76MAwcOYN++fdi3b58yi/71119zPH8FXbXdFSfG9PR0tGnTBnFxcZg8eTIqV64MT09PPHr0CIMGDdJ59aeLueenoJjuo48+UlYczkpxb1/BlJ3dEHK53CKtorIaPXo01qxZg7Fjx6JRo0bw9vZWNsk0ZT2+fPkSzZs3h5eXF2bPno1y5crB3d0dly5dwuTJk03+bYyV3TapS5MmTZCWlobTp08jNDRUWeLRtGlThIaG4tatW3j69KlyuLXjM9f0+uTLlw9//fUXjh49ij179mD//v3YvHkzWrVqhT///BPOzs7IyMhAjRo18P3332udR8mSJXMchyFxGqpXr144deoUPvvsMwQFBSF//vzIyMhA+/btzb5NZvfb5HQfSU1NRVxcnEGx+Pj46G2N5O/vj6NHj0IIoZasRUdHAzC964+SJUvi9u3bJk1rSUxmrMDZ2Rlz5sxBy5Yt8eOPP5qt3wc3Nzd07twZnTt3RkZGBkaOHImff/4ZX3zxhdar6sDAQADA3bt30bJlS+Xwt2/fIiIiQuNkbohr167hzp07+PXXXzFgwADlcGNuf5l7ftoq/Pn4+KBAgQJIT08325VPVn///bfGsDt37ugs9VIVGBiIQ4cO4dWrV2qlM4piacVvl92yPDw8lFfU27Ztw8CBA7FgwQLlOMnJyRqtRwIDA7W2lsk67NixY3j+/Dm2b9+uVkH2wYMHGtMa2uus4ntpOzjeunULRYsWNVuz9QYNGsDNzQ2hoaEIDQ1Vtkpq1qwZfvnlFxw+fFj5Xh9b9KirSnWdKW79KNy+fVtjW8nKyckJrVu3RuvWrfH999/jm2++weeff46jR48qb5FduXIFrVu3Ntt3VY25bNmyyuGpqal48OCByfvkixcvcPjwYcyaNQvTp09XDte2f+hy9+5djRP+nTt3AMCgfVeVMfuINqdOnVI7Nuvz4MEDvfEFBQVh5cqVCA8PR9WqVZXDFRXJVW8rG+P+/fs6S+1siXVmrKRFixZo0KABfvjhB2UxX05kbXbo5OSkTEZ0NZ+sV68eihQpgl9++QVv375VDl+/fr3BReBZKa4MVK8ahRBqTcStPT9PT0+NE7azszO6d++O33//XaO5NACN5pWm2Llzp1rT2HPnzuHs2bPo0KFDttN27NgR6enpyv4gFBYuXAiZTKYxj9OnT6vVB/jnn3/wxx9/oG3btsp16OzsrHE1v2TJEo0mlu3atcPp06dx+fJl5bC4uDisX79ebTxtv01qaip++uknje/j6elpUBG/v78/goKC8Ouvv6r9ZtevX8eff/6Jjh07ZjsPQ7m7u6N+/frYuHEjoqKi1EpmkpKSsHjxYpQrVw7+/v5656NIrmzVA3C9evVQrFgxLF++XG1f37dvH8LDw9GpUyed02q76lec1BTz6tWrFx49eoRffvlFY9ykpCS8efPG6JiDg4Ph5uaGxYsXq20/q1atQnx8vN6Y9dG2TQIwqvfpx48fY8eOHcr3CQkJWLt2LYKCgrKtl2JIPLr2EW3MWWfm/fffh6urq9qyhRBYvnw5ihcvjsaNGyuHR0dH49atW0hLS1MO03ZM3Lt3Ly5evKi3OoOtsGTGihQdFYWEhGhUYjTW0KFDERcXh1atWqFEiRKIjIzEkiVLEBQUpNEUT8HNzQ0zZ87E6NGj0apVK/Tq1QsREREICQlBuXLlTLoKq1y5MsqVK4eJEyfi0aNH8PLywu+//25ycmSO+dWtWxeHDh3C999/j4CAAJQpUwYNGzbE3LlzcfToUTRs2BDDhg1D1apVERcXh0uXLuHQoUMGF+/qUr58eTRp0gQjRoxASkoKfvjhBxQpUiTbytwA0LlzZ7Rs2RKff/45IiIiUKtWLfz555/4448/MHbsWLUKpQBQvXp1tGvXTq1pNgDMmjVLOc57772HdevWwdvbG1WrVsXp06dx6NAhjebBkyZNwm+//YY2bdpg9OjRyqbZpUqVQlxcnHK7aNy4MQoVKoSBAwdizJgxkMlkWLdundbbH3Xr1sXmzZsxfvx41K9fH/nz50fnzp21fvf58+ejQ4cOaNSoEYYMGaJsmu3t7W3wM5EM1bRpU8ydOxfe3t6oUaMGAOmWbaVKlXD79m21Pol0UVS8/vzzz9GnTx+4urqic+fOVuv40NXVFfPmzcPgwYPRvHlzfPjhh8qm2aVLl8a4ceN0Tjt79mz89ddf6NSpEwIDA/HkyRP89NNPKFGihLKZbv/+/bFlyxZ88sknOHr0KN59912kp6fj1q1b2LJlCw4cOGB0J2o+Pj6YOnUqZs2ahfbt26NLly64ffs2fvrpJ9SvX9/kTkO9vLzQrFkzfPvtt0hLS0Px4sXx559/GlwSAkj1Y4YMGYLz58/D19cXq1evRmxsLNasWWN0PMbsI9qYs85MiRIlMHbsWMyfPx9paWmoX78+du7cidDQUKxfv17tFtXUqVPx66+/qpX2NG7cGLVr10a9evXg7e2NS5cuYfXq1ShZsqTefn9sxlrNpvIKXc2FhZCah5YrV06UK1dO2aS6efPmolq1akYvZ9u2baJt27aiWLFiws3NTZQqVUoMHz5cREdHK8fJ2jRbYfHixSIwMFDI5XLRoEEDcfLkSVG3bl3Rvn17jWm3bt2qNq22prU3b94UwcHBIn/+/KJo0aJi2LBhyuaoquMZ2jTb0PnpWte3bt0SzZo1E/ny5dNo5h4bGys+/fRTUbJkSeHq6ir8/PxE69atxYoVK7L97roo1sn8+fPFggULRMmSJYVcLhdNmzYVV65cURt34MCBwtPTU+t8Xr16JcaNGycCAgKEq6urqFChgpg/f75aU1AhpOa/n376qfjtt99EhQoVhFwuF7Vr19b4nV+8eCEGDx4sihYtKvLnzy/atWsnbt26JQIDAzWaroeFhYmmTZsKuVwuSpQoIebMmSMWL14sAIiYmBjleCdPnhTvvPOOyJcvnwgICBCTJk0SBw4c0NjOXr9+Lfr27SsKFiwoACibaWvbfoQQ4tChQ+Ldd98V+fLlE15eXqJz587i5s2bauNoa/IrhPYmt7rs2bNHABAdOnRQGz506FABQKxatUpjGmRpmi2EEF9++aUoXry4cHJyUlu24rfJSts6z8qYfU4Iqels7dq1hVwuF4ULFxb9+vVT6xpACM197vDhw+L9998XAQEBws3NTQQEBIgPP/xQ3LlzR2261NRUMW/ePFGtWjUhl8tFoUKFRN26dcWsWbNEfHy83u+h63cSQmqKXblyZeHq6ip8fX3FiBEj1JrBC2H8MfHhw4eiW7duomDBgsLb21v07NlTPH78WON309U0u1OnTuLAgQOiZs2aQi6Xi8qVK2v8BrqONdqOsYbuI9aQnp4uvvnmGxEYGCjc3NxEtWrVxG+//aYxnqLLCNV18/nnn4ugoCDh7e0tXF1dRalSpcSIESPUjgf2RCaEGWqVkUPLyMiAj48PPvjgA61Fy6RfREQEypQpg/nz52PixIkWX55MJlProtxSxo4di59//hmvX782qNtzIkdTunRpVK9eHbt377Z1KJRDrDOTxyQnJ2sUea5duxZxcXFqjzOgvCVrnxPPnz/HunXr0KRJEyYyRGT3WGcmjzlz5gzGjRuHnj17okiRIrh06RJWrVqF6tWro2fPnrYOj2ykUaNGaNGiBapUqYLY2FisWrUKCQkJ+OKLL2wdGhFRtpjM5DGlS5dGyZIlsXjxYsTFxaFw4cIYMGAA5s6da3AnVZT7dOzYEdu2bcOKFSsgk8lQp04drFq1KttmykRE9oB1ZoiIiMihOVSdmb/++gudO3dGQEAAZDKZ3qe3AlIHRjKZTOOV9XkbRERE5LgcKpl58+YNatWqhaVLlxo13e3btxEdHa18FStWzEIREhERkbU5VJ2ZDh06GNSbalbFihUz+Sm4GRkZePz4MQoUKGDzbsyJiIgciRACr169QkBAgEWfSedQyYypgoKCkJKSgurVq2PmzJl49913dY6bkpKi1kX4o0eP1J5rQURERMb5559/UKJECYvNP1cnM/7+/li+fDnq1auHlJQUrFy5Ei1atMDZs2dRp04drdPMmTNHrUt4hZUrV8LDw8PSIRMREeUaiYmJGDp0qNoDdC3BYVszyWQy7NixA127djVquubNm6NUqVJYt26d1s+zlswkJCSgZMmSiI6O1nimDVlGWloaDh48iDZt2sDV1dXW4eQJXOfWx3VufVzn1vf8+XP4+/sjPj4eXl5eFltOri6Z0aZBgwY4ceKEzs/lcjnkcrnGcFdXV278VsZ1bn1c59bHdW59XOfWY6317FCtmczh8uXL8Pf3t3UYREREZCYOVTLz+vVr3L17V/n+wYMHuHz5MgoXLoxSpUph6tSpePToEdauXQsA+OGHH1CmTBlUq1YNycnJWLlyJY4cOYI///zTVl+BiIiIzMyhkpkLFy6gZcuWyvfjx48HAAwcOBAhISGIjo5GVFSU8vPU1FRMmDABjx49goeHB2rWrIlDhw6pzYOIiIgcm0MlMy1atNB44rOqkJAQtfeTJk3CpEmTLBwVERER2VKeqzNDREREuQuTGSIiInJoTGaIiIjIoTGZISIiIofGZIaIiIgcGpMZIiIicmhMZoiIiMihMZkhIiIih8ZkhoiIiBwakxkiIiJyaExmiIiIyKExmSEiyuNSUoAbNwA9j74jsmtMZoiI8rg2bYDq1YFNm2wdCZFpmMwQEeVxoaHS3+XLbRsHkamYzBAREQDeZiLHxWTGCP/8A5QrByxYYOtIiIiISIHJjBE+/xy4fx+YOFF6n5ICnD4NpKfbNi4iIkPduwckJQEXLgBBQcChQ7aOiMwhLS1vl6wxmTFQ//7OSEvLfH/zJtCvH9C4MTB7tu3iIiIy1KlTQPnyUhLTrh1w5YpU+VchNBQYORJ4+9ZmIZIJEhKAYsWA996zdSS2w2TGQPv2qa+qatWA33+X/v/+exsERGYhBDBsWN77DYWQDoC6vH4NfPUVEB5uvZjI8oYOlf7euQPExWkfZ9kyYO1a68VEOfd//we8fAns3WvrSGyHyYwZKIr25s0DOneGWgkO2cbbt8DOncCTJ/rHCw0FVq4EJkywSlh2o08fwNsbCAvT/vnUqcAXXwBVq1o3LrKcM2fUk1OZTPe4jx4BycmWj4nMQ99vmVcwmTGjKVOA3buBLVtsHQktWQJ06yYVp+vz+rVVwrE7im20Th0gMVHz8zNnrBsPWZ4xv+n06UDBgkxoHAWTGSYzRjG0QyltJweyrp07pb/R0frH40HAsL5F/voL6NsXiImxfDxkGVkrh2ZXWTQlhbcZyXEwmTGTly9tHQGpUk1SjK3hf/s28P77wPnz5o3JXhlSOtW8ObBxo1Q5lBzD8ePAwoWZ278pLV3ycusYe3TggFSV4fFj9eG8KGMyYxZv3gCFCtk6CtJl2DDdn2k7CHTqBOzaBTRoYLmY7Im2E9bNm9rHffDAsrGQditXSpV39XUD8ddfwLvvSi2UAKBFC2D8eGDPHum9KYlJTIz+iuJkXe3bS1UZRozQPY6iVDqvYTJDud6qVcaNf++eZeKwV1lPcvv2GX+rdM8e4O5d88VE6oYNk7bj7dt1j9O8udT0ukMH9eGK38WUZKZTJ6miONmXrBcVTipn8m7drBuLvWAyQ3ma6kEgNla9z428KmuzXMWVPpB5QgwNzeya4MgRqX+LChWsE19eZsjt7Kz1msaNk3433jLKPa5dk55yrpC1hPnqVaBWLanJNiDVHdyxI3d38Opi6wByo7x40Dh7Fli6FJg7FwgIsHU0ht1DHjYM2Lo1872fn+XisYarV6WDVrt2xk0nBJCRIb200dYirFkz6W+VKqwk6giOHgUmTbJ1FGROX30F1KsnPWanRg31zz74QCph7tJF2r8rVQJevZL6EPrkE9vEa2lMZqzozRvA09PWUVjGO+9If2NjpUpq9u7tW6keQm5Sq5b09+ZNKcnQZelS9fcZGUCjRi549aoZOnUybpmOnsjs3Qv8+qt0kC9c2NbRmIcQwPz56sP277dNLGQeiYmAh4f6MCEyH62TVXy8+vtXr6S/+/ZJycz161J/aLVrmz9WW+FtJivZtQvInx+YNcvWkVjWnTu2joCy+w1GjVJ/Hx0NhIXJcPduIZ29wipcuaK7BMcRdeok9bnz+ee2jsS8spbCsL8Yx/X779JF8HffGT7Ns2e6P0tNlUpy6tTJXZW7mcxYiaL2+cyZNg2DTJCert6T8MGDUj0RR2HMffIdO2TZ9qe0erXuz/r3l25pZCc5Waqw+vXXhsem8OqVdHWp7Tf4/nupRY/iSnTdOsO6eH/0yPg4HIkLy+Ad1oAB0t/PPsv5vHbtkp7hpKAv6XE0TGYsYN8+W0dgOcnJUvPAhQu1f26u+kLr1lXB8uXm2zwTE6VKq6ZUgGvXDvD1lW6fhYUBbdsCrVtLnYrZu/BwwMvL8CR65Mjsz3off6z7s99+A1q1yn45a9dKTYmnTTMsLlWzZwM//yz9BllNmCC16FmyRGrxMWCAVPpy9qx0CzSv0rW/Ut6T9RZUbsFkxgJ27gTu37d1FPolJ5v2ZNw1a6ST+vjx5o9J4coV4PffK2LMGGeT55G1AnDHjlKlVcVB3Zik6/Bh6W/79lLRrEJqqsnhWc2kSVIiZ87bm+ZIWHNy28OQfSsxUb007Z13pAred+443rPTdu+2dQS6PXkiHQ+ybhMpKfbdECItzf7i++orYMwYw8c3x/HH3tZBTjCZsZDbt+33oJmUJD13pVIl46e1xrOMXr0yf3eWx49Lfz/7LPtHHOQmhrTqssUBzRI9lhpS6lapktSDqiNRjVfXb6XafN6aKlSQkvz16zOHvXwplQYaUkJnC2/euCAgwAVNmgA1a0rbYrNmtu8Q8osvpBJFQyvV79iR82Xq2p4c8ZE8TGYspGNHoFw5W0eh3dWr0pWTvZceabNvn9Rq5/hx4PRp3TujvpNlQABw4ULOY3GEqxp7TWYsoWNHw8ZzhNZ2hnrzRrqFmN0DVS1FUYFU0cuw4v/UVODYMZuEpCEhQbq4VDhzJgDx8TKcOiX11wJIt6AbNrRNfFm9fi11G2Gu1pZLlhg3/o8/ShWOVRNUR8BkxoL++cfWEWjnyCevjh2lZKxFC6Bx48x+YtavB0JCDJ+PvkqsudWGDcChQ5rDHalk5vhx7VfQL18Cf/5pnmU4ki++yP0tJHOqbFmgcmXg0iXFEO0b/NOn0t+kJKnpsjUpSo4BqcRl5Ur9j2Exhr5bV6r7vhBSR3yjR0vvP/rIPMu3FiYzVqLa5HXePNvFkVVaGvDDD1KCYAhbnPji4qTmxOfOaX62dat08PnoI2Dw4Mz1nN2JzNCKwI7ej4rqeujXz7Y9HMfGql8hq7pyBWjSRKoUrEtYmJTEhoVpftakifr7r7/OG32rXLxoneVkt78IIZX2KlqR2ZPnz6W/v/4q/dV3bPjzT6kjuho1pJY/gFSXZfp0w5aVkmLak+VbtMj8P7vuESzlp5+A6tU1hycnO0ZrPyYzFnb9ulSBVLXC45Qptosnq59+kro7V3S4Zo/69JE6etNVDKxaEc7QOj1r1hg2XtWquj+z5xKu8HDNJ+vqoq20JqecnNS7WwekCriVK2vf1tq3B06elJpr66LrxH33ruayAGDGDMPjdRQjR6pvd9YqfXr33ezHKVFCqitjjwkNACxenH19uXbtMh+yunYtMHWqVPr15ZfqreEUpRhZG1FUqgT4+0slxYZ0UXDkCDB2rPowax5XIiIy///2W+3jVKok/bb23ocYkxkLq1FD2hEM9eyZdStfGVt3JLuDp7l3xL/+kvp1sdbycoNHj6QkrHhxw052Dx+aPwYhpNuA2ly9qv5QyilTDLua1fVd6tUzPj5TpKcDly9ndhq4Z4/U2Z41OxFMTwfOn5ceG/Lzz+q3Jyzp7Nnsx1H0WWJoKa85nTyp3npNl8mTnXHpUrHsR/zX3LmZ/6t2xbB0qVSK0a+f+viRkdLfjz6SKkArSoV0ad0aWLRI/ziWbEjStm3240RFSX8Vz3myV0xmrMDQq6dnzwAfH6lPE0tSNDUGcn5lJ0TmDpx1uDkearZsmXHj22s9JWuaPdvWEUj09S6qmoRmve3aubP2bUrbtvrbb9brN2PkSKn7d8Uth/feA775Rv35XtZw4IBUYmCvz9ix9gXGn39Ktxl9faWuExQPQNVm0yYnnDhRwqD5Zv0eiod17tmTWa9kyxb93zc6GujZUyoBN4U9t4q1N0xmrMDQhEFx9WPJ5s9JScZ1VLZ1q/T8j/R0KYvP2k36ggVA6dKa073/PlCqlGYpkyWuYlXXb5Mmhl1F5maqxeGOWAl2927NK15AShyy6t/fPMs05AS8YoX0N2uvxZYo2dLHlDoZ1mSN/peEkH77ESPUe3gOCwN69DDPMlRLDxXL3LxZSmJV6XuA5/r1wLZtwKefSu8fP5b66Pr7b8O2OW3bvCWkpmaWwDgqh0pm/vrrL3Tu3BkBAQGQyWTYuXNnttMcO3YMderUgVwuR/ny5RFiTJMXM7GnE0rW5EI1tidPpKvkmBip6LNMGaBXLylhcXHRvN0TFaXZxXZUlHSl/H//J+24qtPcuQMUKaJ5Mti4EQgMlDo2mzgRmD8/c7PMrmv933/X7IDtnXess86ztgQApO8/dy7w4oXll28IW297y5cDFStqtkBavFj/dFm7DbhyRXoKsKXs3i3VjeBtS90aNJAubiZNkk7GqlTXmzVaCkZFSaVyy5dbridubbfLtNUv0/fMpKylhj16SB13VqwoHQu1SUrK/N8a2+OjR4BcbvnlWJpDJTNv3rxBrVq1sDTrY391ePDgATp16oSWLVvi8uXLGDt2LIYOHYoDVu5owknPWl6wQGpubA9d4/foIdVf8PeXKqWpVg7TJjBQ+/CCBTP/V90ZJ0yQmtBmLRnq21c6OJ09K62PffuM2yy13Zaz5u2msDCgaFGpKPmdd6RbAOZqVplTtk5mRoyQTnxZKzlmJyZGao2k2H7MnRy2b69ZofirrzJbsGRHtYQxpyccY3ujtdVvev68dHEzf750Mj5xwrT57N0rzScnrXZM6b08p4TI+bo/fTrzf13b9Lp1mf8bcL2eY8bU6bRnDvX4sQ4dOqBDhw4Gj798+XKUKVMGCxYsAABUqVIFJ06cwMKFC9GuXTut06SkpCBFJbNIMMtjRTOQNW9M+/dG6MSJrgCANWvewt8fUPwkaWa6USqEVAmtaFHFcgHAVeXzzNhCQ82ySDVv375FcrLAmDFO2L078/EE6t/PVXPCHNLVBNic0tLSkJYGDBzogrg4mbIoGQAOHxZIS7P2EVdzPWZkaG57tpCSYlwcQgAdOgDr179Fz54C6ekymPNwdeAAcOiQAKB+doqKSsfu3QKenkCTJlkzjMz1W7hw5rTp6elISzP+/mlaWhpev3aBr68LmjTJwK5duiqZqf+uGRnpAEx/1Ie5NG2a+b+u7UzbcaxTJ+n7FCqUjh9/NO2+s+pxTNv6sMTxJS0tDUI4Q//3VF9WenpmbNI4xsVijZZhqjFmpRpzTrZza3CoZMZYp0+fRnBwsNqwdu3aYayey8Q5c+Zglpl7oXr+/CkA9eKDvcobve8DAM6du4XixV8DeCfL5zmzZEkQDh8OxLRpZ/DihRyXLxcDUFz5+cOHDwGUMsuytLl48SLOnnXCL7/UVxu+evUxnD/vh+bN/wFgYNetdmbHjmOQyQRevGgEoIDaZ6mpbzFtWhjCworh44+vwtXVGvcv3tcYEhsbDdXf21aePtXcBwyxevUjeHpexvXrRQA0yXZ8Y0gJkroTJ+5izBjpOR87d/6R5dPM9RsfnzntrVvh2LvXtHtgZ8+WwuvXMuzfL8OGDQewalUNlCz5CqGhxfHxx1dRo8ZzZP1dly2zfSKT1bZt2hNV7ccx6fuEhT3B3r1aOo8yQHS0BwCp06SoqCgAZdQ+nzPnPDZvroiRI68A0PJEUhOsX38BN24EAgjQ+Czr8VxBNTZpHM191NZWrtS9PanGHB5u2naeaK3mucJBARA7duzQO06FChXEN998ozZsz549AoBITEzUOk1ycrKIj49Xvv755x8BQADxIrM+u3Gvdu3SNYalpqaK1NRU5fu5c9+KnTvTND7P6Usxv7p1NWOwxmvr1jSxePFbnZ83b26buKz5+uGHtyIlxTy/p65XXFyq1mV/8IF9rN+2bU2Lw909Q0yZ8lYcOpRm1nh0vYYNy9xWt21LE02bpotly9LU9qWsr3nz3pr0m71580aMHn1JOZ8ePbQfJ2z92+Xkpfp9X79WPyZ17Jhu8vYeHp45H9XfLOurevUMq37PrMOHD3+rNo5MZp14zPX6/ffM/c7U7Tw6OloAEPHx8eY6/WuVq0tmTCGXyyE3c20oZ2fNqxZX16zFjc5wcdH3ec7IZLa51eDi4qL2vbI6ftz2t0AsbexYZ6xe7YwLFwAz/6xKFStqH65t27MFU7e/5GQZ5s51Rr58Zg5Ih19+ybxK7dFD2nBDQ530NoN2dnaGq2vOS0siIw05TjgWRfybN0udX6q2v3BycoKrq2HbRUaGet1D1dUik+le90+eWKeC0dGjrlr7bImLy4xt1ChXCGGVcMxm4sTMg7ep27m1tmH7ONJZiJ+fH2JV26kCiI2NhZeXF/JZ6+gI9aaDumRkWLZiny13IltXQrUHV69atsm4osMye5XTbcCev5+59q3cvJ/06SP9HTQoc5hivQkBdOkCDBmifdqff5YaFahWnlWlrz2HtdZpu3ZSy6qsVPsgUjTtdySq6++bbzRbr9qTXJ3MNGrUCIdVe4gDcPDgQTRq1MhGEWUqX17aARR09b/iaJm8Nva8A1iToQdWc7Zss5cTZE6fk2Qv38OS8sJ31CY8XOrKQVeT7k8+kSrC9u2bOUx1XWnrYFHbeJY2YoT1lmUtql0kxMVJzdAt2UVCTjhUMvP69WtcvnwZly9fBiA1vb58+fK/layAqVOnYsCAAcrxP/nkE9y/fx+TJk3CrVu38NNPP2HLli0YN26cLcJXc++e+lN+tSUzFy9KzY5XrbJeXOZ29qxlOwHMbSZNAtzdtT9UkxyLan8hhshryYziQs2YnsJPnJD6wDL0Is/eOxh0RNZ83I4xHCqZuXDhAmrXro3atWsDAMaPH4/atWtj+r/9i0dHRysTGwAoU6YM9uzZg4MHD6JWrVpYsGABVq5cqbNZti1pS2b69ZMeSz90qP5phZA6YrLEAwNzylpdzecW8+dLf//3P/Xh0dGZnQPevw8MHCg9t2rrVv0lOY7wtFtD2POJXls3AEeOAB4eufNhl8a4cQN480b7Z6pVTXV9nvV906ZSn0X2/pwgsj6HqgDcokULCD0pubbefVu0aIGwsDALRmUe2pKZrMNOnJCe5DpvHlCoUObww4elLrIB+7stZc8nIWsz5rdRrex454705NrAQKkjw06dgFu3pG0B0N+d+smTJoVqd2y9HVWpovuzlSul3oNLqfRwoHh2z+zZgLaeHrZtA2JjnQBkbhRnzmiOt327afHai+rV8W//WZqEAD74QL1jOCGkfrHu3ZOe0aXrSc7W6EeKtBNCujXo6wsULmzraDI5VDKTm2k7WKsOi4jI7KTq1Svp4WXh4dIVvL57xgpZezu1FlMfsJbXqf72f/zb3UlkpFTSdeuW+ribN1svLluxdTKTdZ1ndemSejKTnZ49AcAZPXrk1zte9+6Gz9NeRUdrH66tHtWlS+pPQR88WPu09nbRlpfcvAl8+KH0v7bfYcUKqcR482bp4aybN1unNROTGTshhHTFrUr1AK7a2+amTZnPLGraFHC2vz60KId0PQLjv/+1bhxkGMXtki++kEojbt40bLpXrxy76bW5aWsRpI0lHlhLhjlyRPdnEydKj6QBpBJJa15oMZmxE9nVENf1ZN7YWM0TnxDSM5DsuTkraZo4MfN/XcmMtkdO5IWrVFuXzGRHCKkELetDVAHNPlLINKol0Hlhm7dXqg1SXrxQr/KgSGQA6RxkTdzF7IS2ndPQA7jqgTIsTHpfuLDujtTIPsTGqv/uqgcCXSc/bR0QqtR5z7UcIZnRVdlaUX9G+3R2/sXsFJMZ21EtFStXTvd41v6NmMzYCW23igw5gGdt1qjrHjPZlz17AD8/4KOPtH+u67fX15sy2Y6+Vjn66o3xpKzO0PXB20z24cUL4MKFzJaWtsRDo5347TfTplNUxFLgwdExfPyx9HfDBmD9es3PdZXMGFoXI7dxhJIZsh4mM/ajfn2gYUOgf3/14dbeZ1kyYydycpuJHMvx48Djx/rHYR0Lx7JsGRMaa1K08CP7cPYsMGqU+jDeZiIA0rNMTLkKN6Y3TbKuU6ekvytXZj8ukxl1GzbYOgL9jh7VXUk/q6lTM/8/eLC0ReJxVIb2dm7tyqVk/3jItFOmNmm7ccO8cZD5TJ6suzfUrFgqpy67kix7oK+367t3M69U5861TjxEeQmTGSIrevVKc9j+/VLfJKq2bQPS0qQToL4efsl+/Pyz7s8qVJBuRRGRZbACMJEVCaFZ6tKhg/ZxN20yrldZsm+ffirdPibKC6xdZ4bJDJEVffCB9mfwaJOQYPhtKXIMI0bYOgIi62AFYKJczNBEBpAOBm5ulouFrO/4cVtHQGQdTGaICIDU+onJTO6SlmbrCIhyJyYzRHZq40bDm/uSY4iLs3UERNZh7ZIZmRDs6kmfhIQEeHt7A4gH4GXrcIiIiBxIAgBvxMfHw8vLcudQlswQERGRQ2MyQ0RERA6NyQwRERE5NCYzRERE5NCYzBAREZFDYzJDREREDo3JDBERETk0JjNERETk0JjMEBERkUNjMkNEREQOjckMEREROTQmM0REROTQmMwQERGRQ2MyQ0RERA6NyQwRERE5NCYzRERE5NCYzBAREZFDYzJDREREDo3JDBERETk0JjNERETk0JjMEBERkUNjMkNEREQOjckMEREROTSHS2aWLl2K0qVLw93dHQ0bNsS5c+d0jhsSEgKZTKb2cnd3t2K0REREZGkOlcxs3rwZ48ePx4wZM3Dp0iXUqlUL7dq1w5MnT3RO4+XlhejoaOUrMjLSihETERGRpTlUMvP9999j2LBhGDx4MKpWrYrly5fDw8MDq1ev1jmNTCaDn5+f8uXr62vFiImIiMjSHCaZSU1NxcWLFxEcHKwc5uTkhODgYJw+fVrndK9fv0ZgYCBKliyJ999/Hzdu3NC7nJSUFCQkJKi9iIiIyH45TDLz7NkzpKena5Ss+Pr6IiYmRus0lSpVwurVq/HHH3/gt99+Q0ZGBho3boyHDx/qXM6cOXPg7e2tfJUsWdKs34OIiIjMy2GSGVM0atQIAwYMQFBQEJo3b47t27fDx8cHP//8s85ppk6divj4eOXrn3/+sWLEREREZCwXWwdgqKJFi8LZ2RmxsbFqw2NjY+Hn52fQPFxdXVG7dm3cvXtX5zhyuRxyuTxHsRIREZH1OEzJjJubG+rWrYvDhw8rh2VkZODw4cNo1KiRQfNIT0/HtWvX4O/vb6kwiYiIyMqMKpl5+fIlduzYgdDQUERGRiIxMRE+Pj6oXbs22rVrh8aNG1sqTgDA+PHjMXDgQNSrVw8NGjTADz/8gDdv3mDw4MEAgAEDBqB48eKYM2cOAGD27Nl45513UL58ebx8+RLz589HZGQkhg4datE4iYiIyHoMSmYeP36M6dOnY/369QgICECDBg0QFBSEfPnyIS4uDkePHsV3332HwMBAzJgxA71797ZIsL1798bTp08xffp0xMTEICgoCPv371dWCo6KioKTU2Zh04sXLzBs2DDExMSgUKFCqFu3Lk6dOoWqVataJD4iIiKyPpkQQmQ3kq+vLwYOHIhBgwbpTASSkpKwc+dOLF68GN27d8fEiRPNHqwtJCQkwNvbG0A8AC9bh0NERORAEgB4Iz4+Hl5eljuHGpTMPH/+HEWKFDF4psaOb8+YzBAREZnKOsmMQRWAixQpgt27dyMjI8OgmeaWRIaIiIjsn8Gtmbp27YqSJUvi888/19u0mYiIiMiaDE5mHjx4gOHDh2PTpk2oVKkSmjdvjnXr1iEpKcmS8RERERHpZVCdmayOHj2KkJAQ/P7773BxcUGfPn0wZMgQ1K9f3xIx2hTrzBAREZnKjioA6/Lq1Sts2rQJISEhOHPmDKpXr44rV66YMz6bYzJDRERkKuskMzl6nEGBAgXQunVrREZG4tatW7h586a54iIiIiIyiEmPM0hKSsLatWvRokULVKhQAZs2bcL48eMRERFh5vCIiIiI9DOqZObMmTNYvXo1tmzZgtTUVHzwwQc4dOgQWrZsaan4iIiIiPQyOJmpWrUqbt++jdq1a2POnDno27fvv3VJiIiIiGzH4GQmODgYGzduRK1atSwZDxEREZFRctSaKS9gayYiIiJT2dHjDNq3b48zZ85kO96rV68wb948LF26NMeBERERERnCoNtMPXv2RPfu3eHt7Y3OnTujXr16CAgIgLu7O168eIGbN2/ixIkT2Lt3Lzp16oT58+dbOm4iIiIiAEbcZkpJScHWrVuxefNmnDhxAvHx8dIMZDJUrVoV7dq1w5AhQ1ClShWLBmxtvM1ERERkKjvvATg+Ph5JSUkoUqQIXF1dzR2X3WAyQ0REZCo77wHY29ubTbOJiIjI5kzqAZiIiIjIXjCZISIiIofGZIaIiIgcGpMZIiIicmgmJTMvX77EypUrMXXqVMTFxQEALl26hEePHpk1OCIiIqLsGN2a6erVqwgODoa3tzciIiIwbNgwFC5cGNu3b0dUVBTWrl1riTiJiIiItDK6ZGb8+PEYNGgQ/v77b7i7uyuHd+zYEX/99ZdZgyMiIiLKjtHJzPnz5zF8+HCN4cWLF0dMTIxZgiIiIiIylNHJjFwuR0JCgsbwO3fuwMfHxyxBERERERnK6GSmS5cumD17NtLS0gBIz2aKiorC5MmT0b17d7MHSERERKSP0cnMggUL8Pr1axQrVgxJSUlo3rw5ypcvjwIFCuDrr7+2RIxEREREOpn8oMkTJ07g6tWreP36NerUqYPg4GBzx2YX+KBJIiIiU9n5U7PzCiYzREREprKjp2YvXrzY4BmOGTPG5GCIiIiIjGVQyUyZMmXU3j99+hSJiYkoWLAgAKlHYA8PDxQrVgz379+3SKC2wpIZIiIiU1mnZMagCsAPHjxQvr7++msEBQUhPDwccXFxiIuLQ3h4OOrUqYMvv/zSYoESERERaWN0nZly5cph27ZtqF27ttrwixcvokePHnjw4IFZA7Q1lswQERGZyo5KZlRFR0fj7du3GsPT09MRGxtrlqCIiIiIDGV0MtO6dWsMHz4cly5dUg67ePEiRowYkWubZxMREZH9MjqZWb16Nfz8/FCvXj3I5XLI5XI0aNAAvr6+WLlypSViJCIiItLJ5H5m7ty5g1u3bgEAKleujIoVK5o1MHvBOjNERESmsqN+ZrSpWLFirk1giIiIyHEYncz85z//0fv56tWrTQ7GEEuXLsX8+fMRExODWrVqYcmSJWjQoIHO8bdu3YovvvgCERERqFChAubNm4eOHTtaNEYiIiKyHqPrzLx48ULt9eTJExw5cgTbt2/Hy5cvLRBips2bN2P8+PGYMWMGLl26hFq1aqFdu3Z48uSJ1vFPnTqFDz/8EEOGDEFYWBi6du2Krl274vr16xaNk4iIiKzHLM9mysjIwIgRI1CuXDlMmjTJHHFp1bBhQ9SvXx8//vijcrklS5bE6NGjMWXKFI3xe/fujTdv3mD37t3KYe+88w6CgoKwfPlyg5bJOjNERESmstN+ZrTOxMkJ48ePx8KFC80xO61SU1Nx8eJFtebfTk5OCA4OxunTp7VOc/r0aY3m4u3atdM5PgCkpKQgISFB7UVERET2yyzJDADcu3dPa2d65vLs2TOkp6fD19dXbbivry9iYmK0ThMTE2PU+AAwZ84ceHt7K18lS5bMefBERERkMUZXAB4/frzaeyEEoqOjsWfPHgwcONBsgdnK1KlT1b5jQkICExoiIiI7ZnQyExYWpvbeyckJPj4+WLBgQbYtnXKiaNGicHZ21nhkQmxsLPz8/LRO4+fnZ9T4AJQdARIREZFjMDqZOXr0qCXiyJabmxvq1q2Lw4cPo2vXrgCkCsCHDx/GqFGjtE7TqFEjHD58GGPHjlUOO3jwIBo1amSFiImIiMgajK4z06pVK61NsBMSEtCqVStzxKTT+PHj8csvv+DXX39FeHg4RowYgTdv3mDw4MEAgAEDBmDq1KnK8f/73/9i//79WLBgAW7duoWZM2fiwoULOpMfIiIicjxGl8wcO3YMqampGsOTk5MRGhpqlqB06d27N54+fYrp06cjJiYGQUFB2L9/v7KSb1RUFJycMvOzxo0bY8OGDZg2bRr+97//oUKFCti5cyeqV69u0TiJiIjIegzuZ+bq1asAgKCgIBw5cgSFCxdWfpaeno79+/fj559/RkREhEUCtRX2M0NERGQqO3s2U1BQEGQyGWQymdbbSfny5cOSJUvMGhwRERFRdgxOZh48eAAhBMqWLYtz587Bx8dH+ZmbmxuKFSsGZ2dniwRJREREpIvByUxgYCAAqQURERERkb0wKJnZtWsXOnToAFdXV+zatUvvuF26dDFLYERERESGMKgCsJOTE2JiYlCsWDG11kIaM5PJkJ6ebtYAbY0VgImIiExlRxWAVW8t8TYTERER2ROzPWiSiIiIyBaM7jQPAA4fPozDhw/jyZMnGiU1q1evNktgRERERIYwOpmZNWsWZs+ejXr16sHf3x8ymcwScREREREZxOhkZvny5QgJCUH//v0tEQ8RERGRUYyuM5OamorGjRtbIhYiIiIioxmdzAwdOhQbNmywRCxERERERjP6NlNycjJWrFiBQ4cOoWbNmnB1dVX7/PvvvzdbcERERETZMTqZuXr1KoKCggAA169fV/uMlYGJiIjI2oxOZo4ePWqJOIiIiIhMwk7ziIiIyKEZXTLTrVs3rbeTZDIZ3N3dUb58efTt2xeVKlUyS4BERERE+hhdMuPt7Y0jR47g0qVLkMlkkMlkCAsLw5EjR/D27Vts3rwZtWrVwsmTJy0RLxEREZEao0tm/Pz80LdvX/z444/KJ2hnZGTgv//9LwoUKIBNmzbhk08+weTJk3HixAmzB0xERESkSiaEEMZM4OPjg5MnT6JixYpqw+/cuYPGjRvj2bNnuHbtGpo2bYqXL1+aM1abSEhIgLe3N4B4AJZ7fDkREVHukwDAG/Hx8fDystw51OjbTG/fvsWtW7c0ht+6dQvp6ekAAHd3dzbTJiIiIqsw+jZT//79MWTIEPzvf/9D/fr1AQDnz5/HN998gwEDBgAAjh8/jmrVqpk3UiIiIiItjL7NlJ6ejrlz5+LHH39EbGwsAMDX1xejR4/G5MmT4ezsjKioKDg5OaFEiRIWCdqaeJuJiIjIVNa5zWR0MqMqISEBACwaoK0xmSEiIjKVdZIZo28zqcrNSQwRERE5BpOSmW3btmHLli2IiopCamqq2meXLl0yS2BEREREhjC6NdPixYsxePBg+Pr6IiwsDA0aNECRIkVw//59dOjQwRIxEhEREelkdDLz008/YcWKFViyZAnc3NwwadIkHDx4EGPGjEF8fLwlYiQiIiLSyehkJioqCo0bNwYA5MuXD69evQIgNdneuHGjeaMjIiIiyobRyYyfnx/i4uIAAKVKlcKZM2cAAA8ePEAOGkYRERERmcToZKZVq1bYtWsXAGDw4MEYN24c2rRpg969e6Nbt25mD5CIiIhIH6P7mcnIyEBGRgZcXKSGUJs2bcKpU6dQoUIFDB8+HG5ubhYJ1FbYzwwREZGpHKDTvLyAyQwREZGp7LjTvOTkZFy9ehVPnjxBRkaG2mddunQxS2BEREREhjA6mdm/fz8GDBiAZ8+eaXwmk8mUT84mIiIisgajKwCPHj0aPXv2RHR0tLL+jOLFRIaIiIiszehkJjY2FuPHj4evr68l4iEiIiIyitHJTI8ePXDs2DELhEJERERkPKNbMyUmJqJnz57w8fFBjRo14Orqqvb5mDFjzBqgrbE1ExERkanstDXTxo0b8eeff8Ld3R3Hjh2DTCZTfiaTySyWzMTFxWH06NH4v//7Pzg5OaF79+5YtGgR8ufPr3OaFi1a4Pjx42rDhg8fjuXLl1skRiIiIrI+o0tm/Pz8MGbMGEyZMgVOTkbfpTJZhw4dEB0djZ9//hlpaWkYPHgw6tevjw0bNuicpkWLFqhYsSJmz56tHObh4WFUdsiSGSIiIlPZaclMamoqevfubdVEJjw8HPv378f58+dRr149AMCSJUvQsWNHfPfddwgICNA5rYeHB/z8/KwVKhEREVmZ0RnJwIEDsXnzZkvEotPp06dRsGBBZSIDAMHBwXBycsLZs2f1Trt+/XoULVoU1atXx9SpU5GYmKh3/JSUFCQkJKi9iIiIyH4ZXTKTnp6Ob7/9FgcOHEDNmjU1KgB///33ZgtOISYmBsWKFVMb5uLigsKFCyMmJkbndH379kVgYCACAgJw9epVTJ48Gbdv38b27dt1TjNnzhzMmjXLbLETERGRZRmdzFy7dg21a9cGAFy/fl3tM9XKwIaYMmUK5s2bp3ec8PBw4wJU8fHHHyv/r1GjBvz9/dG6dWvcu3cP5cqV0zrN1KlTMX78eOX7hIQElCxZ0uQYiIiIyLKMTmaOHj1qtoVPmDABgwYN0jtO2bJl4efnhydPnqgNf/v2LeLi4oyqD9OwYUMAwN27d3UmM3K5HHK53OB5EhERkW2Z9KBJc/Hx8YGPj0+24zVq1AgvX77ExYsXUbduXQDAkSNHkJGRoUxQDHH58mUAgL+/v0nxEhERkf2xXpOkHKhSpQrat2+PYcOG4dy5czh58iRGjRqFPn36KFsyPXr0CJUrV8a5c+cAAPfu3cOXX36JixcvIiIiArt27cKAAQPQrFkz1KxZ05Zfh4iIiMzIIZIZQGqVVLlyZbRu3RodO3ZEkyZNsGLFCuXnaWlpuH37trK1kpubGw4dOoS2bduicuXKmDBhArp3747/+7//s9VXICIiIgswutO8vIad5hEREZnKOp3mOUzJDBEREZE2TGaIiIjIoTGZISIiIofGZIaIiIgcGpMZIiIicmhMZoiIiMihMZkhIiIih8ZkhoiIiBwakxkiIiJyaExmiIiIyKExmSEiIiKHxmSGiIiIHBqTGSIiInJoTGaIiIjIoTGZISIiIofGZIaIiIgcGpMZIiIicmhMZoiIiMihMZkhIiIih8ZkhoiIiBwakxkiByCX2zoCIiL7xWSGyAHIZLaOgIjIfjGZIXIATGaIyFF89531l8lkhoiIiMxmwgSgRAnrLpPJDJEDYMkM5RVBQbaOgBwRkxkiG+nWDTh2LPP9nDm6x2Uy4/gaNrR1BES5F5MZIhspXRooWzbz/YgRQOfO2sdlMuP4/PxsHYFj4Lbu2I4ft81ymcwQ2ci0aYAQuj8PDc38X9sBnidHx8KTtGG4nhxb06a2WS6TGSIbaNUKKFxYfZhMpn4gb9JE/zzef9/8cZF5dOgAPHmiPkzXSbpcOT0ZbR7EZMYxLF6sfbji95syxXqxAExm7FKpUpn/16tnuzjIcvSVyGjDA7ztFSmiOUx1X1Xl5gb4+ABXrmQOc9JxtA0Pf6sxrH17EwJ0IN262ToCygl3d2D0aGDIEN3jjBxpvXgAJjN26ciRzP/r17ddHGR5qkmNvoSFyYztaTsBR0YCz54BixZpn8bDI/N/Y37DqlWNi43I0h4/1hy2ciXwwQeZ70+dyvzf2scsJjN2qFy5zP+z3opQqF8f2LgROHDAOjGReSl29KzJjK4DAJMZ29P1GxQpAowZk/24/A0z6SuZ5HqyT/7+mf+r/kZr12ofx9qYzNiplSuB994DRo3S/vm5c0CfPkDbttaNi0w3aFDm/4qDuaG3m7Qd4Lt1A4oVy3FYZCBTTrKqv6+u20zZTZcb9eyp+zN96/mdd3R/xjpk1mOP2yeTGTs1ZAjwf/8H5Mtn60jIXNas0RxWoEDm/66uuqfVdoAvUEAq+u3XL+exUfayS2aGDtUcZuhtxKwyMgwf1xF9+KHuz2Qy4PZt7Z/Z40mUdPv6a+sti8mMDbRpY+sIyNYUJ7aiRYHffgO2bNH/ZGxdJ0JnZxbL24sVK4AqVaT/P/lE+mvqyTe3n7RlMvWSyqwqVrRaKGRBU6cC58+nWWVZTGZsIOuOqu/ApfpZtWqWiYfMT/U3rl4d2LZN97j9+ukvdgekpCcrxf3p3H7isxcuLvo/l8mk1ksPHgDt2knDeJtJt4ULpZNdVkzOHYvqfuHpqf6ZTAaUKWOdOJjM2ICpBypzdkbEuhaW1bx55v/XrgHdu0v/z5ol7fwLFmifTtGcUTH9gQNSPYHff5daCixYABw+DGzdar2DRE4oSijMpVAh887PGIrfUCE6WnMcV1epZ2cF1X1d0btzgQKZxe9dutzVuqzcmMz873/q7wsWBL75RnM8RenWvn0WD4nMQC6XSiWXLJG6I7CVbK41yBKMOVCpjqt6kNTlvfeA3buzH+/KFdvWPM/tdF1dTp8uHdR1XeW3bQtERAABAZnvVSt5N2pk1jAtzpjSCEOEh9um5+NJkzRvAxobR9euwNGjUglr0aJAt25puH37BoBAjXFV61I5ukqVpA7USpTQnryoGjEC+Oor6X9tfWzlxiQvNxg2zNYRsGTGJoyp3KdabPfpp9KJUN8Vy+efGzZfdoVvO9ndrggM1F8ZOC/QVfHd19e6cSjoazavT9bbTC1aSFevMhlQvrz2eY4cCTRrZnKodqd5c/31Y1T99JPu7igAoG5d3Z/x9pTl9egh/Z0wwbZxaMNkxgaMubpwcwNu3pRuVeTPLxVPZ+0dVHFLYvZs/U0XVfuvMbfWrc03r1WrNHtEdTSqtxQsLTderdpbD7GmniiNbc00YgSwdGnuOjF36aL/899/ly7a/vgj+3nNnSuV8GgjBHDhgvHxGSK7/rweP87dTcMvXZL+/vYbcPq0dLvc3jhMMvP111+jcePG8PDwQMGCBQ2aRgiB6dOnw9/fH/ny5UNwcDD+/vtvywZqANX6FIZkuFWqSJVIddm7Fzh50vBSGXPz9QX+85/sxytfHnj9Ovvx+vd3/LNzhw7AiRPA/fu2jsS2cstJOev3cHc3bDpTm2a3bGn4uPbq0SOpnlfHjtJ7XUn3Bx8ACQnZJz0A4OUF/PMPEBOj/XNLNZLQ15/XwYPSLftWrSyzbHtQu7b0Vy6XLpidnW0bjzYOk8ykpqaiZ8+eGDFihMHTfPvtt1i8eDGWL1+Os2fPwtPTE+3atUNycrIFI81e+fLA338DcXHAd99Jw0JDgVq11J+UbCgPD6Bx48z6CX36SDv1uHHanyeTnRo1jBv/q68MKx1wcpKuwA4eBCZPNj4ue9SggfbhMhnw7rvaWyHlFUWKSCcfU9hbEpQ1nqwPkdTF1NZMbm66H+TXoYPuCuT2JCBAquOlWHe6nmMFaF83+o4p2m43BgbmfLsx4vSipLi2HjlS/0UnWZbDVACe9W+5VkhIiEHjCyHwww8/YNq0aXj/3/K/tWvXwtfXFzt37kSfPn20TpeSkoKUlBTl+4SEhBzFXaiQwIsX6ntYevpbBAZKe2rav03wGzYEzp+H2jBTrV0rHQhkMsDPzwmTJyvSaAFA9u8y0gBor5jRtGk6rl0zPPXOyHj7b8zZbU4CaWlv0by5dKKbN0/78vXFZm9WrUpDjRqasaalpZm98qsuGRnOsMfrkq1b32L/fhkAzW3p00/T0amTQMeOmttM06YZ/57INL+TNbaNa9c0f9P09HSULZuhXLa7e5pB+2lqKpTTvH2bpnayTft3BqrfKSMjHWlpGf8u0wna1t2GDWnw9AQmTLDvfSQtywoqWxZYv14GX18gLS37qx9pctcsw1Tnqf7ZF1+kqa1vU2RkpEPbOte33b19+1b5fc6fB44fl6F9+8ztetq0dPz4oxNevtTMtCpXFrh1y74y944dM7B3r7Tv1a2bga5dhXKbNEXW7cBSHCaZMdaDBw8QExOD4OBg5TBvb280bNgQp0+f1pnMzJkzR5k4mcPbt2kA3NSGnTp1Ek+evDTbMvQJDy8HQLpcePPmDYD8AIC9e/cC0H6TNyIiEkBZg5dx9eo11K37BEA7veMlJr7G3r3SUzQjIwsAUC+XrVMnFu3bR+DgwRgEBLTG48f54eOTiKdPPbTMzT7cu7cX/ftXwLp16k8G3Ldvr9VKF2JjawPQc9lrI2fPnsa9e74ANHtACw7e/e+JR3MbHDToINaurQqgpMZnqtttjRpP0bBhDFauNLIoMRv37u2Fi8t7ePs286R2//5dnDlzCytW5INcno69e1MNmldEhBcA6Z7Rvn17tY5z8OBBKL5TZGQU9u69CgC4caMMgJoa4x8/rpiPfVfSkH4rdZ6e0q1mLR9pSEhwBSDdo6pbNwZ16jzB3r0PVMbI/P6lSiXg5MmjSElxAtDZ5JgTEu4AqKIxXN/x8uTJk4iNfZllaOa49ertxurVwAcfaE7v7/8Pbt2yr303IyMSgNTvwxdf/B8Aw34vXRITE80QlQGEg1mzZo3w9vbOdryTJ08KAOLx48dqw3v27Cl69eqlc7rk5GQRHx+vfP3zzz8CgADihVTeYdyrcOEMjWGnT6eJ1NRUq7zOn08VgBBOThmiXLnMWFJTU3XGPGLEW+X/deqkZ/sdV6yQvs/Dh6miWzfd41eunKGM6+JFzeUrPnvz5o0ICdknfvklWSQkaI9zxoy32cZljZci5qzDU1Ks8/umpqaK+/dTRdmyGWLUqMx18u672f9uln4dP54mJk3S/jvpWm+AEBERqaJfP+3xq04zevRbERamezvW9erSRf+6SU1NFbdvq8936tS3Jv02ly6lqs1X9fXmzRuxc+dO8ebNG+U4n3ySuZw//0wzet3Zy2vLFvMc4z78MF18+GG61s9Ul1etWsa/69T09TJz5ltx75726fWtb23Hc0N/rxMntP/Gtnxt3JgZkzl+w+joaAFAxMfH5/T0r5dNS2amTJmCefPm6R0nPDwclStXtlJEgFwuh1xfv/JGkmm5PC9XzsVqTW/r1ZNaQgUEyNTqd7jqCcDJKfOKVCbTLOovVEhqraN4Wqqzs/R9iheX6u/o4uwsUy5X2+JVYypYMAUdOzrpjNPT0z5qoGWN7+uvpf5E3NysdwugTBng3j0AcMasWcCGDUCfPk427cAKANzcXHRWFNS3/bm6uuq8Rac6nbOzM1xdjd8OSpTQf0vO1dUVFSsCiYmZ27OLi2nLqlVLqhjq56f7O6sO9/TMXE6bNsD69VIjAdUKr/rWnT1ITQVcXc1zatmwQfGf/t9MJpOOLa6uwLffSv0CGatbN2eULeuMuDip3uGff2Z+prrOK1SQ6jwquLjoP57r+73efdcFMTFSD+Cm1Jc0t+HDgcDAzN/OHNuatbZXm95onzBhAsLDw/W+ypY1/HaHKr9/O1KJjY1VGx4bG6v8zFoUldW2bZOauFn7JFO9uv6+G7ISQvv/qn79Nfv5DB8udc7n7S29V20RoGu+hjK0NYklabuNVKcOULWq5nBrKVxYetK6PVQ8zkmdoSlTpL/avsfEiVKdq88+M23ehm57qn3dmPqbOjlJPTavX69/vEWLpAuPrL3k9u2b2ZIkK0XHirag70GRtsi1FC2mgMxHSRiqVi1g0yag5r939AoVUu8L6qOP1Mc35lhqCF9f1aTNthy5Z3iblsz4+PjAx0Jn9jJlysDPzw+HDx9GUFAQAKky79mzZ41qEZVTMpl01RwTY9l+XkxRvLjUfDKr7A72htYFWb5c+nv1qtQrsaEdZxmid29g3jypCevGjUB6uvnmbSht68HE3DtXcnIyPHGoUyezLwtASh6SkqSkNet6nj9f+u2dnIAXLwybf6lSQFSUYeOqOn0aOHMG6NXL+GmNMWaM9DLGjRu2e7yDvTXN1VXNccgQYNUq/dO++650PNEl64WbuerCqV5T6+o7xxbKl7d1BKaxvyYQOkRFReHy5cuIiopCeno6Ll++jMuXL+O1SscllStXxo4dOwBIxY5jx47FV199hV27duHatWsYMGAAAgIC0LVrV6vFLZNJld7sLZEBgLAwYPVqzeHZ3WXLujNnt3OXKiU1W1S9BZX1JGfszuzlBURGAuvW5byUxxwuXJASNnt62q+tS68CAw0fd/hwzWH64jek1Mcc10nvvAOMHWv+xzIYQ3X/Ui0tMrC7LYvIuj4USZUVD6349FPp78KFureV/Pm1D3/82PAWNlm/q0wmdS+h+t4QkyapHx+ydvA3frzBIVmUj4+UKEdG2joS4zhMMjN9+nTUrl0bM2bMwOvXr1G7dm3Url0bF1S2iNu3byM+Pl75ftKkSRg9ejQ+/vhj1K9fH69fv8b+/fvhbsWjvL31l6HKxwcYPFh9WOHCuvtOUShePOfLVs3+o6KAO3eMm14ms/3VoepvW7cu0KmT7WLR5q6WZxjm5MGPnp6G9cx744aUKOtKJlQ7jbx8WXpInaKbdHO6eFH7cHtIfk11/bqtI5Bk3feeP5di27LFejEsWSJ1Sjl2rO5xvvhC+/Cc3oZVaSSr1ZYtUhK0eXPmsHnzpFI+haxJkq7qo1lvc1lD1ar6+wWyRw6TzISEhEAIofFq0aKFchwhBAap3MuQyWSYPXs2YmJikJycjEOHDqGilS+d7SmZMeQg/vPPUmW03r2lg4W2abZuVX9vynf09JQ6DXz9GihZUvezeOyZNQ/cpjBH0qnq8ePst6F+/aQD4b93djXs2iW9FGrVkh5SZ879ZMcO6YnWJTVbdms1ZEjmQ1xN7eTPWuzlNmbWZEYmkzrqtGZ9GZlM+5PjVbfRIkWk52GZe7mqtNUz6dkTSEnRvD2pWjqtqEuo4OIilYbMnq0+PDc9dNSSHCaZIetxcZEqxI0apT48JkY6UOjLB4256i1USP1Bmrpcvqw5zNZJYnKy1A17XpI/f85LNTp3tnzC0LVrZn0ERQ/Yqs8Oy/odVq6USpN+/FGq30XZs+VtN2vo21f6q+1Ypzj2HDwoXdjpSpq1PVBWLpcaRYSFaW/5WaqUZmmSrgsDUpfLN0nbs5f7oKZSPfDremKxpROLWrWkA8CPP1p2OcYwY+t9h3DkiHQCy+6J75bYFg4ckG4LGPIgwqwuXpS6/l+0SP94Hh5SHQxj6vnkZba+xWuqWrUEvvzyZLbj9e0rPVdK0Su7NK30t39/6W9wsGm3R2vWzD5B+f576e/48cCAAcYvI6uc3F52FLm2B2B7MHeu1IzUkdlL/YKaNdVvRdm6ZMZR7NmjXpfH1PWmqOBprpZuxsyjbVvpWUimzDswUPOCQrVp7ZAhxs+TgPr1gWXLbB2FdvpKjc6ff4u9e59lOw+ZTHqulKrQUKmU+N13cxafIcaNk+oCyWSKR2LkTF44XrJkxoImT879xbFA3thRVPXsaesIDKfa/0ZOKH5jWyW3hmxj5csbVhLq5SU90fzsWekWExlu2DDg6VPTHmBrLdWqSbcVFbeKzNV8vUABoGlT6x3TzXlc1bbfXriQWcqUG+SBUy0paLuHm1XWHcjYk9e0adJfRbPJ3MheOrgy1KZNxo2vraWHYrsYOlT6+8472qe1ZWJ7+7ZhT5MuUkS6us6u1Z4j0FafzJI8PDS3D2vHkB0nJ+DQocyOChcvBpo0UW9Z5EgsdQFRt25mL+65AZOZPGTjRsDfHzDwweMGU63NX6WKVIvflvVbdNXtUTC051RdfSsakhTaE30dgmmjrfWEIknp2hUIDweOHctpVNYXEiJdiZqz80Zbq1XL8hVEtSWoqidYRV0Se1WihHSLyNIdH1qKOeonZb1l5uamfTxH5mCHZcqJOnWkHn/1XT0b0wXP+vXSVVnW7sOtvaO0aSNVEjVUqVJSM2MynOo2o+9RaVm3LUM7Q1TdZkztBiq7UqGBA6WXo2ndWnpqsa7vd+GCZRNsmcx+6s6ZU7FiUl0sa3b0ZwoXF6lDzqQk4OhR4KefjJ9Ht27SflWxolRqpdpfVIsWmRcnjlxlgCUzeYy2jVVRz6BVK6B9e8Pn1bev9FA3a+0A/v6Z/6terfz2G/DVV5ZdduPGlp2/tRiSKHh5qXdsB5j+Gw8bZth4np5S/ZXly42r42Dv/cKYw5gxUpf6Dx5o/9zSLYtUO09z5JNdVrdvS4lgmza2jiR7nTpJLaeWLtV+Cz8sTHOYah88MplUMhUUJDVKUe2R/uBBKWF2c9PeE7ejYDJDWLBAanJ7+LDmgdGersjy55d6tY2KUq+EV7Qo8Pnn6uPqq6RnT9/JWqZPl54EnF1SVqOGwIYNUlPsPXsyhxt65Z/1ZOfmJp00PD01f6Oshgwx/mBasqTUueOvv+auE60qFxepea6tmo2rbge5ScGCUr0RR6Pt+KXtVqPqg331cXGRSmtev7btw0tziskMAXCcE0G5cob17Bobq96d/cyZhs1ftci5enVjIrNvs2ZJdaay+50vXnyLqlWlZLBjR+lxF126ZP/MqT59pL/jxml+VrEiEB9vudKzUaPM0xdHbqWvu39dXr+WelJ+9Urq0VnRuWWHDmYNjUzQrJll5muLp52bE5MZE2kr6itQIPc1xXbUUoyiRaU6Qgq9e0tN5bds0f+dVE/2NWpIdXHs5Xk4trB6tdRZXXZJ0IYN0omvZk3tnztqJ2uOqkuXzP8XLsx+/Ky9fXt6Som94kGNERHAyZOGX+2T5fTqJfU8nNvONTnF1WGievUy/09OlnqL1HVP25FVrWrrCHJm0SLgf/+TKq3OnZt9HzHaOmyrVk16ZlXhwpk9c+Ym5ni6tEym+wnFZH3mroRftGjuqTfm6GQyqf6M4nliCsuX28+zu2yBrZlMMHKk1G+BgrbeInOLpUulCpmO2lPqmDHGja+rBKJ6damzsNx4NXToEDB2bAbatz8BwPANWdHKxZ47UCPDGPsww9zYtNfRDR8uvWzdwaWt5MJDs2XJ5VIfKnllQylaVMr469e3dSSGy+6WiOpvV7q0VJvfkGlzQyKjrUO8mjWBAwfSUanSC6Pmde6c1Prt6FEzBUdWUagQkJCQ+f7LLw174KuqNm2k12efmTc2IlPlgsOzdTVrJp3wVK9GVesDVKsm/c0NJz5HExIi3Qravt3waR48kB4Yp41q08bcolkzYOpU0/tyUVWvHrBvn1S3iOxDjRrA7Nn6x7lxQ70kxpQKpS4uwJ9/Sl0zENkDnnJNVLiwdEX/11/qycwffwAffQRcumS72PKqgQOBZ8+yv+Wnr1StYEHg5k2psqOhHb45EpkM+OYbtv7JrVavBr74QnO4oj5TcLB6f00KeaWkOS9xlBaq5sI6M0ZS3UC0XdGXKQOsW2e9eEidqTvw2rVSp23ffGOeCrH2bvp0qVdRR+4kizTp6yX4l1903xZiMuN4ypQB7t+3dRT2gyUzRjK2QinZH20H7v79gePH80YiAwDFiwMPH0pJDeUe5ctrH16pEvDdd7qfW/bBB5n/9+tn/rjI/NasAbp3l+4OaKNa1SEvlNKwZMYIrVtL3UoT5QZ54QCXV8TFSQ949faW3k+dCmzbZthDNWUyqa5fVJT0VOzChS0aKplJyZLSb6xLqVJSVxT58hlfwdsRMZkxgjEVS4mIrCXr86zq1JF68fXwyH7aChWkv4b0rE2OZcsWW0dgPUxmjJAXHmqXF7B+AOUF2V2NP3ggPWbCz8868RBZEpMZIqI8KGsPskSOjBWAKc9hyQwR5XZ5rU4ckxkiIqJc4uOPpVZrQ4faOhLrYjJjoJCQt7YOgcyEJTNElFv9/DPw+HHee2YakxkDvfcez4C5BR81QUS5WV48xuXBr0x53Zo1QLFiwLJlto6EiIjMga2ZKM+pWROIicl7FeSIiHIrlsxQnsREhogo92AyQ0RERA6NyQwRERE5NCYzRERE5NCYzBAREZFDYzJDREREDo3JDBERETk0JjNERETk0JjMEBERkUNjMkNEREQOjckMEREROTSHSWa+/vprNG7cGB4eHihYsKBB0wwaNAgymUzt1b59e8sGSkRERFblMA+aTE1NRc+ePdGoUSOsWrXK4Onat2+PNWvWKN/L5XJLhEdEREQ24jDJzKxZswAAISEhRk0nl8vh5+dngYiIiIjIHjhMMmOqY8eOoVixYihUqBBatWqFr776CkWKFNE5fkpKClJSUpTvExISAABpaWlIS0uzeLwE5Xrm+rYernPr4zq3Pq5z67PWupYJIYRVlmQmISEhGDt2LF6+fJntuJs2bYKHhwfKlCmDe/fu4X//+x/y58+P06dPw9nZWes0M2fOVJYCqdqwYQM8PDxyGj4REVGekZiYiL59+yI+Ph5eXl4WW45Nk5kpU6Zg3rx5escJDw9H5cqVle+NSWayun//PsqVK4dDhw6hdevWWsfRVjJTsmRJREdH6y3RIfNJS0vDwYMH0aZNG7i6uto6nDyB69z6uM6tj+vc+p4/fw5/f3+LJzM2vc00YcIEDBo0SO84ZcuWNdvyypYti6JFi+Lu3bs6kxm5XK61krCrqys3fivjOrc+rnPr4zq3Pq5z67HWerZpMuPj4wMfHx+rLe/hw4fKLJGIiIhyB4epABwVFYW4uDhERUUhPT0dly9fBgCUL18e+fPnBwBUrlwZc+bMQbdu3fD69WvMmjUL3bt3h5+fH+7du4dJkyahfPnyaNeuncHLVdyFe/XqFTN5K0lLS0NiYiISEhK4zq2E69z6uM6tj+vc+l69egUg81xqMcJBDBw4UADQeB09elQ5DgCxZs0aIYQQiYmJom3btsLHx0e4urqKwMBAMWzYMBETE2PUcu/du6d1uXzxxRdffPHFl2Gve/fumTEj0ORwrZms7eXLlyhUqBCioqLg7e1t63DyBEWl63/++ceiFcYoE9e59XGdWx/XufXFx8ejVKlSePHihcG995vCYW4z2YqTk/TEB29vb278Vubl5cV1bmVc59bHdW59XOfWpziXWmz+Fp07ERERkYUxmSEiIiKHxmQmG3K5HDNmzOADKq2I69z6uM6tj+vc+rjOrc9a65wVgImIiMihsWSGiIiIHBqTGSIiInJoTGaIiIjIoTGZISIiIoeW55KZpUuXonTp0nB3d0fDhg1x7tw5veNv3boVlStXhru7O2rUqIG9e/eqfS6EwPTp0+Hv7498+fIhODgYf//9tyW/gsMx9zrfvn072rZtiyJFikAmkymf00WZzLnO09LSMHnyZNSoUQOenp4ICAjAgAED8PjxY0t/DYdi7u185syZqFy5Mjw9PVGoUCEEBwfj7NmzlvwKDsfc61zVJ598AplMhh9++MHMUTs2c6/zQYMGQSaTqb3at29vfGAWfViCndm0aZNwc3MTq1evFjdu3BDDhg0TBQsWFLGxsVrHP3nypHB2dhbffvutuHnzppg2bZpwdXUV165dU44zd+5c4e3tLXbu3CmuXLkiunTpIsqUKSOSkpKs9bXsmiXW+dq1a8WsWbPEL7/8IgCIsLAwK30bx2Dudf7y5UsRHBwsNm/eLG7duiVOnz4tGjRoIOrWrWvNr2XXLLGdr1+/Xhw8eFDcu3dPXL9+XQwZMkR4eXmJJ0+eWOtr2TVLrHOF7du3i1q1aomAgACxcOFCC38Tx2GJdT5w4EDRvn17ER0drXzFxcUZHVueSmYaNGggPv30U+X79PR0ERAQIObMmaN1/F69eolOnTqpDWvYsKEYPny4EEKIjIwM4efnJ+bPn6/8/OXLl0Iul4uNGzda4Bs4HnOvc1UPHjxgMqOFJde5wrlz5wQAERkZaZ6gHZw11nl8fLwAIA4dOmSeoB2cpdb5w4cPRfHixcX169dFYGAgkxkVlljnAwcOFO+//36OY8szt5lSU1Nx8eJFBAcHK4c5OTkhODgYp0+f1jrN6dOn1cYHgHbt2inHf/DgAWJiYtTG8fb2RsOGDXXOMy+xxDon/ay1zuPj4yGTySz64DhHYY11npqaihUrVsDb2xu1atUyX/AOylLrPCMjA/3798dnn32GatWqWSZ4B2XJ7fzYsWMoVqwYKlWqhBEjRuD58+dGx5dnkplnz54hPT0dvr6+asN9fX0RExOjdZqYmBi94yv+GjPPvMQS65z0s8Y6T05OxuTJk/Hhhx/yYX2w7DrfvXs38ufPD3d3dyxcuBAHDx5E0aJFzfsFHJCl1vm8efPg4uKCMWPGmD9oB2epdd6+fXusXbsWhw8fxrx583D8+HF06NAB6enpRsXHp2YTkcHS0tLQq1cvCCGwbNkyW4eT67Vs2RKXL1/Gs2fP8Msvv6BXr144e/YsihUrZuvQcp2LFy9i0aJFuHTpEmQyma3DyTP69Omj/L9GjRqoWbMmypUrh2PHjqF169YGzyfPlMwULVoUzs7OiI2NVRseGxsLPz8/rdP4+fnpHV/x15h55iWWWOeknyXXuSKRiYyMxMGDB1kq8y9LrnNPT0+UL18e77zzDlatWgUXFxesWrXKvF/AAVlinYeGhuLJkycoVaoUXFxc4OLigsjISEyYMAGlS5e2yPdwJNY6npctWxZFixbF3bt3jYovzyQzbm5uqFu3Lg4fPqwclpGRgcOHD6NRo0Zap2nUqJHa+ABw8OBB5fhlypSBn5+f2jgJCQk4e/asznnmJZZY56Sfpda5IpH5+++/cejQIRQpUsQyX8ABWXM7z8jIQEpKSs6DdnCWWOf9+/fH1atXcfnyZeUrICAAn332GQ4cOGC5L+MgrLWdP3z4EM+fP4e/v79xAea4CrED2bRpk5DL5SIkJETcvHlTfPzxx6JgwYIiJiZGCCFE//79xZQpU5Tjnzx5Uri4uIjvvvtOhIeHixkzZmhtml2wYEHxxx9/iKtXr4r333+fTbNVWGKdP3/+XISFhYk9e/YIAGLTpk0iLCxMREdHW/372SNzr/PU1FTRpUsXUaJECXH58mW1JpQpKSk2+Y72xtzr/PXr12Lq1Kni9OnTIiIiQly4cEEMHjxYyOVycf36dZt8R3tjiWNLVmzNpM7c6/zVq1di4sSJ4vTp0+LBgwfi0KFDok6dOqJChQoiOTnZqNjyVDIjhBBLliwRpUqVEm5ubqJBgwbizJkzys+aN28uBg4cqDb+li1bRMWKFYWbm5uoVq2a2LNnj9rnGRkZ4osvvhC+vr5CLpeL1q1bi9u3b1vjqzgMc6/zNWvWCAAarxkzZljh2zgGc65zRRN4ba+jR49a6RvZP3Ou86SkJNGtWzcREBAg3NzchL+/v+jSpYs4d+6ctb6OQzD3sSUrJjOazLnOExMTRdu2bYWPj49wdXUVgYGBYtiwYcrkyBgyIYQwriyHiIiIyH7kmTozRERElDsxmSEiIiKHxmSGiIiIHBqTGSIiInJoTGaIiIjIoTGZISIiIofGZIaIiIgcGpMZIiIicmhMZojIqo4dOwaZTIaXL1/aZPmHDx9GlSpVkJ6enu24+/fvR1BQEDIyMqwQGRGZiskMEVlMixYtMHbsWLVhjRs3RnR0NLy9vW0S06RJkzBt2jQ4OztnO2779u3h6uqK9evXWyEyIjIVkxkisio3Nzf4+flBJpNZfdknTpzAvXv30L17d4OnGTRoEBYvXmzBqIgop5jMEJFFDBo0CMePH8eiRYsgk8kgk8kQERGhcZspJCQEBQsWxO7du1GpUiV4eHigR48eSExMxK+//orSpUujUKFCGDNmjNqtoZSUFEycOBHFixeHp6cnGjZsiGPHjumNadOmTWjTpg3c3d2Vw65cuYKWLVuiQIEC8PLyQt26dXHhwgXl5507d8aFCxdw7949s64fIjIfF1sHQES506JFi3Dnzh1Ur14ds2fPBgD4+PggIiJCY9zExEQsXrwYmzZtwqtXr/DBBx+gW7duKFiwIPbu3Yv79++je/fuePfdd9G7d28AwKhRo3Dz5k1s2rQJAQEB2LFjB9q3b49r166hQoUKWmMKDQ1F37591Yb169cPtWvXxrJly+Ds7IzLly/D1dVV+XmpUqXg6+uL0NBQlCtXzkxrh4jMickMEVmEt7c33Nzc4OHhAT8/P73jpqWlYdmyZcpkoUePHli3bh1iY2ORP39+VK1aFS1btsTRo0fRu3dvREVFYc2aNYiKikJAQAAAYOLEidi/fz/WrFmDb775RutyIiMjleMrREVF4bPPPkPlypUBQGsiFBAQgMjISKPXARFZB5MZIrI5Dw8PtVIPX19flC5dGvnz51cb9uTJEwDAtWvXkJ6ejooVK6rNJyUlBUWKFNG5nKSkJLVbTAAwfvx4DB06FOvWrUNwcDB69uypUQKTL18+JCYmmvz9iMiymMwQkc2p3tYBAJlMpnWYoon069ev4ezsjIsXL2q0SlJNgLIqWrQoXrx4oTZs5syZ6Nu3L/bs2YN9+/ZhxowZ2LRpE7p166YcJy4uDj4+PiZ9NyKyPCYzRGQxbm5uBvXnYqzatWsjPT0dT548QdOmTY2a7ubNmxrDK1asiIoVK2LcuHH48MMPsWbNGmUyk5ycjHv37qF27dpmi5+IzIutmYjIYkqXLo2zZ88iIiICz549M1vncxUrVkS/fv0wYMAAbN++HQ8ePMC5c+cwZ84c7NmzR+d07dq1w4kTJ5Tvk5KSMGrUKBw7dgyRkZE4efIkzp8/jypVqijHOXPmDORyORo1amSW2InI/JjMEJHFTJw4Ec7OzqhatSp8fHwQFRVltnmvWbMGAwYMwIQJE1CpUiV07doV58+fR6lSpXRO069fP9y4cQO3b98GADg7O+P58+cYMGAAKlasiF69eqFDhw6YNWuWcpqNGzeiX79+8PDwMFvsRGReMiGEsHUQRETW8tlnnyEhIQE///xztuM+e/YMlSpVwoULF1CmTBkrREdEpmDJDBHlKZ9//jkCAwMNuuUVERGBn376iYkMkZ1jyQwRERE5NJbMEBERkUNjMkNEREQOjckMEREROTQmM0REROTQmMwQERGRQ2MyQ0RERA6NyQwRERE5NCYzRERE5NCYzBAREZFD+39QnOidv4o17wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load the LOC data\n", "\n", "#parameter\n", "file_name = '../_static/data/loc_data.txt'\n", "alpha_s = 0.5\n", "fc = 10e3\n", "\n", "with open(file_name, 'r') as f:\n", " f_list = f.readlines()\n", "\n", "t = zeros(len(f_list))\n", "Vr_rfb = zeros(len(f_list))\n", "for i in range(len(f_list)):\n", " t[i] = float(f_list[i].split(',')[0])\n", " Vr_rfb[i] = float(f_list[i].split(',')[1])\n", "\n", "figure(figsize=(6,4))\n", "plot(t,Vr_rfb,'b')\n", "grid()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('RF signal after propagation with noise for alpha = '+str(alpha_s))\n", "xlim(0,0.05)\n", "show()\n", "\n", "sample_rate = 1./(t[1]-t[0])" ] }, { "cell_type": "markdown", "id": "affb7c14-b8f6-4607-ba1f-31723ae9f621", "metadata": {}, "source": [ ":::{admonition} Méthode\n", ":class: note\n", "\n", "Les traitements nécessaires se décomposent en deux étapes principales :\n", "1. Démodulation IQ du signal reçu pour retrouver le signal en bande de base.\n", "2. Traitement du signal en bande de base afin de déterminer la position de l'avion.\n", "\n", ":::" ] }, { "cell_type": "markdown", "id": "a10405ea-0565-4881-abfd-002d5ca9e769", "metadata": {}, "source": [ "## Présentation générale du traitement du signal \"LOC\"\n", "\n", "La structure d'un récepteur ILS est présentée sur la {numref}`traitement_ILS`.\n", "\n", ":::{figure} ../_static/images/traitement_ILS.png\n", ":width: 600px\n", ":name: traitement_ILS\n", ":align: center\n", "*Schéma fonctionnel du récepteur du système ILS - extrait de \"Influence of Aircraft Power Electronics Processing on\n", "Backup VHF Radio Systems\"*\n", ":::\n", "\n", "La {numref}`traitement_ILS` illustre un récepteur ILS. Deux antennes dipôles, l'une pour le canal \"LOC\" et l'autre pour le canal \"GP\" (Glide sloPe\"), reçoivent les signaux ILS. Après le traitement RF et IF et la démodulation, le signal est filtré pour déterminer l'amplitude des signaux de navigation de 90 et 150 Hz. Puis la position de l'avion, via le paramètre $\\alpha$ est calculée :\n", "\n", "$$\n", "\\alpha=\\frac{V_{rms90}}{V_{rms90}+V_{rms150}}\n", "$$\n", "\n", "avec $V_{rms90}$, la valeur efficace du signal à la sortie du filtre passe-bande 90Hz et $V_{rms150}$, la tension efficace à la sortie du filtre passe-bande 150Hz.\n", "\n", "Dans la suite, nous allons nous intéresser au signal LOC et décrire les traitements numériques nécessaires pour obtenir la valeur de $\\alpha$. Cette démarche s'inspire de la {numref}`traitement_ILS`." ] }, { "cell_type": "markdown", "id": "91413af2-91fe-4f99-8c4f-355e2ac4ca2b", "metadata": {}, "source": [ "### Signal en bande de base\n", "\n", "Au niveau du récepteur, à la réception, le signal $Vr{RF}(t)$ est d'abord multiplié par une sinusoïde et un cosinus pour obtenir les composantes en bande de base [I et Q](https://en.wikipedia.org/wiki/In-phase_and_quadrature_components) :\n", "\n", "$$\n", "I(t) = Vr_{RF}(t) \\cos (2 \\pi f_c t)\n", "$$\n", "$$\n", "Q(t) = -Vr_{RF}(t) \\sin (2 \\pi f_c t)\n", "$$\n", "\n", "Le module permettant RF de réaliser ce calcul est appelé \"mélangeur\" ([mixer](https://www.electronics-notes.com/articles/radio/rf-mixer/rf-mixing-basics.php)) et plus précisément mélangeur IQ. \n", "\n", "L'opération ci-dessus permet de translater le signal autour de \"0Hz\", mais aussi autour de la fréquence $2f_c$. Cette composante fréquentielle est supprimée par un filtre passe-bas.\n", "\n", "Nous pouvons maintenant combiner les composantes I et Q pour obtenir un signal complexe en bande de base :\n", "\n", "$$\n", "V_{IF}(t)=I_f(t)+jQ_f(t)\n", "$$\n", "\n", "avec $I_f$ et $Q_f$ les signaux $I$ et $Q$ filtrés (i.e. les signaux en bande de base)." ] }, { "cell_type": "markdown", "id": "92f9005a-3992-4ccd-8f17-aadc8885adff", "metadata": {}, "source": [ "La figure ci-dessous présente les signaux I et Q non filtrés." ] }, { "cell_type": "code", "execution_count": 3, "id": "a3929e8e-9c07-4459-8cc3-00244b9ff70d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Baseband signal (I,Q)\n", "\n", "I = Vr_rfb*cos(2*pi*fc*t)\n", "Q = -Vr_rfb*sin(2*pi*fc*t)\n", "\n", "figure(figsize=(6,4))\n", "plot(t,I,'b')\n", "grid()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('I for alpha = '+str(alpha_s))\n", "xlim(0,0.05)\n", "\n", "figure(figsize=(6,4))\n", "plot(t,Q,'b')\n", "grid()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('Q for alpha = '+str(alpha_s))\n", "xlim(0,0.05)\n", "show()" ] }, { "cell_type": "markdown", "id": "f04152fb-ed88-4af6-86e7-aff6cd8670d3", "metadata": {}, "source": [ "Il convient de s’arrêter sur la nécessité d'utiliser un mélangeur IQ et pas seulement une simple multiplication.\n", "\n", ":::{tip} Pourquoi une démodulation IQ! 💬\n", ":class: dropdown\n", "\n", "En première approximation, le signal reçu est le signal émis atténué et retardé : \n", "\n", "$$\n", "Vr_{RF}(t) = \\beta V_{RF}(t-t_d) = \\beta A_{RF} (1 + m V_{base}(t-t_d)) \\cos( 2 \\pi f_c t + \\phi)\n", "$$\n", "\n", "L'angle $\\phi$ est lié au retard $t_d$. \n", "\n", "En notant $A(t) = \\beta A_{RF} (1 + m V_{base}(t-t_d))$, le signal reçu s'exprime plus simplement : $Vr_{RF}(t) = A(t) \\cos( 2 \\pi f_c t + \\phi)$.\n", "\n", "Considérons maintenant le cas ou l'on démodule de façon cohérente, c'est à dire que l'on multiplie seulement le signal reçu par $\\cos( 2 \\pi f_c t)$, dans ce cas, on obtient :\n", "\n", "$$\n", "Vr(t) = A(t) \\cos( 2 \\pi f_c t + \\phi) \\cos( 2 \\pi f_c t) = \\frac{A(t)}{2} (\\cos(\\phi) + \\cos( 2 \\pi 2f_c t + \\phi) )\n", "$$\n", "\n", "En conservant que la composante basse fréquence, on obtient :\n", "\n", "$$\n", "Vr(t) = \\frac{A(t)}{2} (\\cos(\\phi))\n", "$$\n", "\n", "Dans le cas ou l'angle $\\phi = (2n+1) \\frac{\\pi}{2}$ (i.e une valeur impaire de $\\frac{\\pi}{2}$), la tension $Vr(t)$ est nulle et la **démodulation n'est plus possible**. Notons que la valeur de l'angle $\\phi$ est généralement indéterminée. Il faut donc pouvoir traiter le signal quelle que soit la valeur de l'angle $\\phi$.\n", "\n", "La réponse à cette question est l'utilisation de la démodulation IQ. Dans ce cas :\n", "\n", "$$\n", "I_f(t) = \\frac{A(t)}{2} (\\cos(\\phi))\n", "$$\n", " \n", "$$\n", "Q_f(t) = \\frac{A(t)}{2} (\\sin(\\phi))\n", "$$\n", "\n", "La valeur de $A(t)$ est retrouvée à partir de $2 \\sqrt{I_{f}^{2}+Q_{f}^{2}}$ et ne dépend plus de $\\phi$. Dans ce cas la **démodulation est possible quelle que soit la valeur de $\\phi$**.\n", "\n", ":::" ] }, { "cell_type": "markdown", "id": "32b3c16e-3d67-47c8-8010-0ac709612919", "metadata": {}, "source": [ "Les signaux I et Q ont deux composantes: le signal en bande de base mais aussi une image du signal modulant translaté autour de la fréquence $2f_c$. Il convient donc de supprimer cette composante pour ne conserver que le signal en bande de base.\n", "\n", "Cette opération est réalisée avec un filtre passe-bas. Pour notre application nous avons choisi une fréquence de coupure à -3dB de 1KHz. Le gabarit de ce filtre est présenté sur la figure ci-dessous." ] }, { "cell_type": "code", "execution_count": 4, "id": "034816d6-58f5-4899-8caa-a3d628f3739f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import firwin\n", "\n", "cutoff = 1e3 # arbitrary design parameters\n", "lowpass_order = 51 \n", "lowpass_delay = (lowpass_order // 2)/sample_rate # a lowpass of order N delays the signal by N/2 samples (see plot)\n", "# design the filter\n", "lowpass = firwin(lowpass_order, cutoff/(sample_rate/2))\n", "\n", "# calculate frequency response of filter\n", "t_lp = arange(len(lowpass))/sample_rate\n", "f_lp = linspace(-sample_rate/2, sample_rate/2, 2048, endpoint=False)\n", "H = fft.fftshift(fft.fft(lowpass, 2048))\n", "\n", "figure(figsize=(6,4))\n", "plot(f_lp/1e3, 20*log10(abs(H)))\n", "xlabel('frequency (KHz)')\n", "ylabel('magnitude (dB)')\n", "xlim(0,15)\n", "grid()\n", "title('Image rejection filter')\n", "\n", "show()" ] }, { "cell_type": "markdown", "id": "a3b06aa4-d926-4071-8dcf-a1f1e0c01081", "metadata": {}, "source": [ "Les signaux I et Q filtrés sont représentés sur la figure ci-dessous. L'enveloppe du signal est bien retrouvée." ] }, { "cell_type": "code", "execution_count": 5, "id": "162f75d1-7ebb-43f0-96ed-44c97cb122eb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Image rejection filter\n", "from scipy.signal import lfilter\n", "\n", "If = lfilter(lowpass, 1, I)\n", "Qf = lfilter(lowpass, 1, Q)\n", "\n", "figure(figsize=(6,4))\n", "plot(t,If,'b',label='If')\n", "plot(t,Qf,'r',label='Qf')\n", "grid()\n", "legend()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('If for alpha = '+str(alpha_s))\n", "xlim(0,0.05)\n", "\n", "show()\n", "\n", "Vif = If + 1j*Qf" ] }, { "cell_type": "markdown", "id": "a6368e03-eb0e-4a60-a9a1-4144c9022dcc", "metadata": {}, "source": [ "## Démodulation du signal\n", "\n", "À cette étape, les signaux $If$ et$Qf$ peuvent s'exprimer comme :\n", "\n", "$$\n", "I_f = \\frac{A_{RF}(1 + 0.4 V_{base})}{2}\\cos(\\phi)\n", "$$\n", "\n", "$$\n", "Q_f = \\frac{A_{RF}(1 + 0.4 V_{base})}{2}\\sin(\\phi)\n", "$$\n", "\n", "avec l'angle $\\phi$ qui est lié à la propagation (mais aussi pratiquement à la différence de phase entre les oscillateurs RF de l'émetteur et du récepteur).\n", "\n", "Rappelons que nous cherchons à reconstituer $V_{base}$. Pour cela, il convient de combiner les signaux $I_f$ et $Q_f$ ainsi :\n", "\n", "$$\n", "K = \\frac{A_{RF}(1 + 0.4 V_{base})}{2} = \\sqrt{I_{f}^{2}+Q_{f}^{2}}\n", "$$\n", "\n", "L'information $V_{base}$ est retrouvée en supprimant la composante continue de la variable K :\n", "\n", "$$\n", "\\tilde{V}_{base} = K - = 0.2 V_{base}\n", "$$\n", "\n", "avec l'opérateur $<.>$ qui correspond à la moyenne temporelle et $\\tilde{V}_{base}$ le signal modulant reconstruit sans mise à l'échelle.\n", "\n", "Le programme suivant présente ces opérations." ] }, { "cell_type": "code", "execution_count": 7, "id": "4dd6e0fd-2419-4801-be46-fd55ab7e2f24", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# AM demodulation\n", "Vif_d = abs(Vif) - mean(abs(Vif))\n", "\n", "figure(figsize=(6,4))\n", "plot(t,Vif_d,'r')\n", "grid()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('Vif_d for alpha = '+str(alpha_s))\n", "xlim(0.005,0.05)\n", "ylim(-0.2,0.2)\n", "\n", "show()" ] }, { "cell_type": "markdown", "id": "a5cca81e-220d-48a9-951c-5d0cf5c132e5", "metadata": {}, "source": [ "## Traitement du signal démodulé\n", "\n", "Afin d'identifier les signaux \"90Hz\" et \"150Hz\", le signal reçu est filtré par deux filtres passe bande de fréquence centrale 90HZ et 150Hz. La valeur RMS de la sortie de chaque filtre est calculée et comparée pour indiquer au pilote le désaxement de l'avion.\n", "\n", "Mais auparavant nous allons réduire la fréquence d'échantillonnage d'un facteur 100 ce qui entraîne une nouvelle fréquence d'échantillonnage de 1KHz ($f_s$), ce qui nous permet de représenter une forme d'onde dont la fréquence maximale est de 500Hz. \n", "\n", "Pour cela nous allons effectuer deux opérations : \n", "1. Filtré le signal avec un filtre passe-bas de fréquence de coupure de 500Hz. Cela diminue la puissance de bruit et évite les phénomènes de repliement.\n", "2. Décimer le signal, c'est à dire ne conserver qu'un point sur 100.\n", "\n", "Pour réaliser ces deux étapes nous allons utiliser l'instruction python `decimate` qui réalise le filtrage et la décimation. Pour diminuer les contraintes sur les filtres, nous allons utiliser deux étages pour réaliser cette opération.\n", "\n", "La figure ci-dessous présente le signal avant et après décimation." ] }, { "cell_type": "code", "execution_count": 9, "id": "b82bf5b5-a865-4faa-a5f8-bce9ca47807b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Decimate the IF signal\n", "from scipy.signal import decimate\n", "\n", "#Decimation is performed in two stages to reduce the order of the anti-aliasing filter\n", "decima = 100\n", "pro = decimate(Vif_d,10)\n", "Vloc = decimate(pro,10)\n", "tloc = t[::decima]\n", "fs = sample_rate/decima\n", "\n", "figure(figsize=(6,4))\n", "plot(t,Vif_d,'r',label='Without decimation')\n", "plot(tloc,Vloc,'+b',label='With decimation')\n", "grid()\n", "xlabel('time (s)')\n", "ylabel('magnitude (V)')\n", "title('Vloc for alpha = '+str(alpha_s))\n", "legend()\n", "xlim(0.01,0.06)\n", "ylim(-0.2,0.2)\n", "\n", "show()" ] }, { "cell_type": "markdown", "id": "76eb3107-b0d4-4f68-9110-ede960c5f18b", "metadata": {}, "source": [ "Le signal est ensuite filtré par deux filtre passe bande. \n", "\n", "La figure suivante présente le gabarit du filtre passe-bande 90Hz pour différents ordres. Pour cette application, nous avons choisi un filtre d'ordre 3." ] }, { "cell_type": "code", "execution_count": 11, "id": "15e9fdac-df05-4525-adfd-6191e57854d3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Basse-band filter 90Hz\n", "from scipy.signal import butter, lfilter, freqz\n", "\n", "def butter_bandpass(lowcut, highcut, fs, order=5):\n", " return butter(order, [lowcut, highcut], fs=fs, btype='band')\n", "\n", "def butter_bandpass_filter(data, lowcut, highcut, fs, order=5):\n", " b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n", " y = lfilter(b, a, data)\n", " return y\n", "\n", "\n", "\n", "# Sample rate and desired cutoff frequencies (in Hz).\n", "lowcut = 85.0\n", "highcut = 95.0\n", "\n", "# Plot the frequency response for a few different orders.\n", "figure(figsize=(6,4))\n", "for order in range(5):\n", " b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n", " w, h = freqz(b, a, fs=fs, worN=2000)\n", " plot(w, abs(h), label=\"order = %d\" % order)\n", "\n", "plot([0, 0.5 * fs], [sqrt(0.5), sqrt(0.5)],\n", " '--', label='sqrt(0.5)')\n", "xlim(0,250)\n", "xlabel('Frequency (Hz)')\n", "ylabel('Gain')\n", "grid()\n", "legend(loc='best')\n", "\n", "show()" ] }, { "cell_type": "markdown", "id": "ad92e0c7-f616-4639-bbff-36e1a77b4f8a", "metadata": {}, "source": [ "Le signal décimé est ensuite filtré par les deux filtres passe-bande, et la valeur efficace de chaque signal filtré est ensuite calculée. \n", "\n", "À partir de cette valeur efficace, la valeur de $\\alpha$ estimé est calculée et comparée à la valeur exacte." ] }, { "cell_type": "code", "execution_count": 13, "id": "6e925fa4-e2a5-45e8-927e-a263ca15a9cb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amplitude des tensions V90 = 4.66e-02V et V150 = 4.74e-02V\n", "Valeur de alpha exacte: 0.50 et valeur de alpha estimé : 0.50\n" ] } ], "source": [ "v90 = butter_bandpass_filter(Vloc, 85.0, 95.0, fs, order=3)\n", "rms90 = sqrt(mean(v90**2))\n", "\n", "v150 = butter_bandpass_filter(Vloc, 140, 160, fs, order=3)\n", "rms150 = sqrt(mean(v150**2))\n", "\n", "K = rms90/rms150\n", "alpha_est = K/(1.+K)\n", "\n", "print(f'Amplitude des tensions V90 = {rms90*sqrt(2):3.2e}V et V150 = {rms150*sqrt(2):3.2e}V')\n", "print(f'Valeur de alpha exacte: {alpha_s:3.2f} et valeur de alpha estimée : {alpha_est:3.2f}')" ] }, { "cell_type": "markdown", "id": "66c2f254-7b43-4651-a5c6-d3fe8f711a44", "metadata": {}, "source": [ "Finalement la valeur de $\\alpha$ estimée est représentée sur l'écran du \"LOC\"." ] }, { "cell_type": "code", "execution_count": 14, "id": "996d21ba-ff59-41bc-8011-5f9a5aa7743c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ecran_loc(alpha):\n", " \"\"\"\n", " displays ILS screen\n", " \"\"\"\n", " x =linspace(-1,1,100)\n", " y = sqrt(1.0 - x**2)\n", " xh = (alpha -0.5)*2.0\n", "\n", " figure(figsize=(4,4))\n", " plot(x,y,'r')\n", " plot(x,-y,'r')\n", " plot([xh, xh],[-0.2,0.2],'m',linewidth=10)\n", " plot([0,0],[-1,1],'--b')\n", " plot([-1,1],[0,0],'--b')\n", " axis('off')\n", " show()\n", "\n", "ecran_loc(alpha_est)" ] }, { "cell_type": "markdown", "id": "c1e49396-753f-4923-a6cd-7a2ab9f96c1d", "metadata": {}, "source": [ ":::{admonition} Synthèse\n", ":class: tip\n", "\n", "Dans cette page nous avons vu comment traiter le signal reçu par l'avion en fonction de sa position par rapport à l'axe de la piste. Pour cela nous avons :\n", "\n", "1. Calculer le signal en bande de base :\n", " * translater le signal autour de 0Hz (démodulation IQ, filtrage passe bas)\n", " * démodulation AM\n", "3. Traiter le signal en bande de base pour obtenir la valeur de $\\alpha$\n", " * utiliser deux filtres passe bande pour sélectionner les composantes \"90Hz\" et \"150Hz\"\n", " * Déterminer la valeur de $\\alpha$ à partir des valeurs efficaces des signaux \"90Hz\" et \"150Hz\"\n", "\n", "Cette démarche a été appliquée à un avion centré ($\\alpha=0.5$). Nous encourageons le lecteur à simuler d'autres positions d'avion avec différents SNR.\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 5 }