diff --git a/Designing_Kalman_Filters.ipynb b/Designing_Kalman_Filters.ipynb index 5e28291..b6cecfd 100644 --- a/Designing_Kalman_Filters.ipynb +++ b/Designing_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:63ae152874a0161848cb3170c24f73b9279fc0e24f7cb997ec958a1870ce9c18" + "signature": "sha256:1c5a1fcb5976bac18380450eaff48d09de6b44c73f5da10c88503a02faed3a7d" }, "nbformat": 3, "nbformat_minor": 0, @@ -27,100 +27,229 @@ "import book_format\n", "book_format.load_style()\n", "\n", - "%install_ext https://raw.github.com/dpsanders/ipython_extensions/master/section_numbering/secnum.py\n", - "%load_ext secnum\n", - "%secnum" + "#%install_ext secnum.py\n", + "#%load_ext secnum\n", + "#%secnum" ], "language": "python", "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Installed secnum.py. To use it, type:\n", - " %load_ext secnum\n" - ] - }, - { - "javascript": [ - "console.log(\"Section numbering...\");\n", - "\n", - "function number_sections(threshold) {\n", - "\n", - " var h1_number = 0;\n", - " var h2_number = 0;\n", - "\n", - " if (threshold === undefined) {\n", - " threshold = 2; // does nothing so far\n", - " }\n", - "\n", - " var cells = IPython.notebook.get_cells();\n", - " \n", - " for (var i=0; i < cells.length; i++) {\n", - "\n", - " var cell = cells[i];\n", - " if (cell.cell_type !== 'heading') continue;\n", - " \n", - " var level = cell.level;\n", - " if (level > threshold) continue;\n", - " \n", - " if (level === 1) {\n", - " \n", - " h1_number ++;\n", - " var h1_element = cell.element.find('h1');\n", - " var h1_html = h1_element.html();\n", - " \n", - " console.log(\"h1_html: \" + h1_html);\n", - "\n", - " var patt = /^[0-9]+\\.\\s(.*)/; // section number at start of string\n", - " var title = h1_html.match(patt); // just the title\n", - "\n", - " if (title != null) { \n", - " h1_element.html(h1_number + \". \" + title[1]);\n", - " }\n", - " else {\n", - " h1_element.html(h1_number + \". \" + h1_html);\n", - " }\n", - " \n", - " h2_number = 0;\n", - " \n", + "html": [ + "\n", + "\n" ], "metadata": {}, - "output_type": "display_data" + "output_type": "pyout", + "prompt_number": 1, + "text": [ + "" + ] } ], "prompt_number": 1 @@ -211,9 +340,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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2RCOMiJiVMpcp2S1a5NXMmT6Vlgb15JMttp8NPsqU/HAisjMb+dkT5wgDSIox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\n6hy67bY8SZ3nCt95Z546OpJ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Eziq9yIR/brmAz35LwxMhNvwrbTfaz3kK+m7doB8wALi2ehMAGLw0+M+4KGxLLsa7mmi8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\njzR36JASmXSIBwAAgEPQ/D7Ab86N6tkt65XnnT+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+/fq5+rAiIiLN1o6lP/LO4k3sTOnK1SM6ckaHFviafM5XpDlIS0sjMTHxhPfX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\n6X96fv19UkeHkubMkfqGvwvc5vNr9ZU7NW5Chl5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Cs2dVREQo8PaGefPiaNvW4nLy+9Brr3nRqpWFfv2S75RmMEDdun4oFLBl0nou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ITITHHw/k0UedvPvurSe+AMHBMG+ejeRkhWHD/Mmg0+odJ9eTX683e9Pr4u6hqmqGPYZB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\nU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Ps0tAlKirrGRnu7VunVNvvVVYJ18PkYm1BTV1rKx8+qlDSUkhtW3Lq0uw7tpC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\n6ZRWrizSU0+Vqn17nkEBQE0wYwxEKa9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Nl4hsomvX2Adas5u6Llrkw/z58UWsqGlsgFMg8OabUDZtius56oQJiNxyi0Uj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\nUiT95S9BVWEBAM+4cfCMHw+ItetWQ3ltZmVZeYbt2vleMGfZMhl//av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VKmnd+sRK77o0VnoBBAU6vwAAnwjfuFGOTz+V6/bb5UlIoNMLoEHQ+QUABERx\nr14q7tWLlV4AQY3OL7zQezIb+Zkt6PPzeGRfsUK2vXu9ngr1Tm91gj47VIn8rIOVXwBA9YqL5UhO\nVuSLL8rmcilv1iwVt2olid0bAJiFzi8AoHJut5zz5yty1ix54uN1/J57VDh4sBQWRqcXQFCg8wsA\n8JmwvXvl/Ogj5b/wgoouvFCy2cpMei8/l5VeAGah8wsv9J7MRn5mC7b8Ss46S7kLF6powABl5hV6\ndXr/cL51Or3VCbbsUDvkZx2s/AIAJJdLYZmZKqngV4d0egGEEjq/AAA5FyyQff165f/1r6WP0ekF\nYAI6vwCAWnMsXarCQYMksdILILTR+YUXek9mIz+zBSQ/l0v2lSu196JBlt6nt7649sxGftbByi8A\nWNzhlev02tgHlLI6i5VeACGPzi8AWNTJesPqrXs1zJOpq28awqQXgHHo/AIAqlS+0/uv1E8Vfet4\nlTDxBWABdH7hhd6T2cjPbP7MLzPXXWGnN/Kpx1Vy9tl++7pWwbVnNvKzDlZ+ASDEZeW5Ne8bdm8A\nAInOLwCErPK3IR7dlX16AYQeOr8AYHHV7tObmyvFxgZugAAQQHR+4YXek9nIz2z1ya+yTu+pE1/7\nypWKu+AChX/7rS+Gi1Nw7ZmN/KyDlV8AMFyN7shWUKCoxx+Xc8kS5f397yru2jUwgwWAAKPzCwCG\nKj/pHdWl4k5v+JYtirntNhV36aL8mTPliY8PwGgBwD/o/AJAiKvRSu9JJSWKeughFfzpTyocNaph\nBwoAQYjOL7zQezIb+Zmtqvxq0un1Eham3E8+YeLbALj2zEZ+1lHtyu8zzzyjjz/+WE2aNFFycrIk\nqWPHjmrfvr0kqU+fPnr44Yf9O0oAsLBarfRWxGbz3+AAwDDVdn43b94sh8OhadOmlU5+e/Tooc2b\nN1f5xnR+AaB+atrpPcl28KA8UVFSTEwDjhIAAsvnnd8ePXooPT29XoMCANRcbVZ6bYcPK3zjRtk3\nblTEnDnKf/ZZFV5xRQOPGADMUafOr9vt1siRIzV27Fh9/fXXvh4TAozek9nIz1yZuW49tPDLGnV6\n7Z9/rsa9eyuue3dFvvyy5HYrd84cJr4BxLVnNvKzjjrt9rBmzRo1bdpUW7du1ZQpU5SSkiKn0+l1\n3qRJk5SUlCRJiouLU5cuXTRgwABJv/4l45hjjjm2+vGSleu07pBDOwsi1SXGo9taZyvGdUxN9rtk\ny8zU6qKeIY/AAAAb+ElEQVQir9c78/N1wbvvquTcc7X2iy9OPN+7d1B8P1Y9PilYxsMx+YXq8dat\nW3Xs2DFJUmpqqiZMmKDaqNE+v+np6Zo4cWJp5/dUo0eP1jPPPKO2bduWeZzOLwBUrUy94Zx4jTm2\nS82++Vr2jRsVvmmTFB0t97BhKnj66UAPFQCClt/3+T169KgiIyMVGRmp9PR0ZWRkqGXLlrV9GwCw\nrIo6vae58xUzfpaKevWS66abVDRrljzNmwd6qAAQcqqd/D7++ONKSUnR0aNHdfHFF+uaa65RcnKy\nnE6nwsPDNWPGDEVGRjbEWNFA1q5dW/rrBZiH/IKMx6Own3+WfeNGHdyyXe8XNVNKpwEa0qFZmQ+y\neaLilPvRR+RnMLIzG/lZR7WT3+nTp2v69OllHps8ebLfBgQAoSJ68mQ5/vMfZTRrqX8OvUWfnTlE\nQ5tJsy89V/GNogI9PACwpBp1fuuCzi+AkOdyKXzbNpUkJcmTkOD19KH1X+v9vEZadcBVo316AQC1\n5/fOLwBYlS09XfYNG2T/+pcPpX3/vYrbtlXB00+r6JTJ76+dXqeGtI/V7AFtmfQCQJCo0z6/CG3l\nt32BWcjPf5yLF8uZnKySli1V8PjjOrpzp3LWrFFR//6STkx6Z61Lq9E+vZUhP3ORndnIzzpY+QUA\nt1vh27adWM3duFHFnTrJdeedXqe5/vhHuSp4eW3uyAYACCw6vwAsK3zTJkU/8MCJ+kKbNiru1UtF\nvXqp6MILVXL22dW+vvykl04vADQ8Or8AUEMlrVurYPp0FXXvLsXG1vh1rPQCgLno/MILvSezkZ+3\n8O++U+Sf/+z1uCchQUUDBtR44uuLTm91yM9cZGc28rMOJr8AQl5JYqIi3npLKiys0+sbYtILAGgY\ndH4BWEKjgQNV8NRTKurXr8avodMLAMGPzi8AVKDwkktk//zzGk1+6fQCQOii9gAv9J7MRn4VKxo0\nSI4VK6o8JxjqDeRnLrIzG/lZByu/ACyhqE8fhf30k2wHD8rTrFmZ51jpBQDroPMLwDJs+/bJ06KF\nZLNJotMLAKGAzi8AVMLTsqUkVnoBwMro/MILvSezkV/lgqHTWx3yMxfZmY38rIOVXwAhj5VeAMBJ\ndH4BhCw6vQAQ+uj8ArC8Kld68/MVlpmpkjZtAjpGAEBg0PmFF3pPZrNyfuU7vW+W6/SG7dihxgMH\nKuK11wI80spZOT/TkZ3ZyM86WPkFYLxqO70ej5xz5ypq+nQVTJ8u93XXBW6wAICAovMLwFg16vTm\n5ir6T3+S/ZtvlPvWWyrp2DEwgwUA+AWdXwAhrza7N9g3bpQcDmWvWCFFRzfwSAEAwYbOL7zQezJb\nKOdXl316iy6+WPkvvWTMxDeU8wt1ZGc28rMOVn4BBD326QUA+AqdXwBBq7b79NqysuRJSGjAEQIA\nAo3OLwDj1Xql1+NRxKuvKvLll3VswwapceOGGywAwCh0fuGF3pPZTM6vLp1e2+HDihk3Ts7Fi5Wz\nbJnxE1+T87M6sjMb+VkHK78AAq6und7wDRsU+4c/yD1ypPLmzJEc9IABAFWj8wsgYGrb6S2joECN\nL71U+Y89pqLf/c6/AwUABC06vwCC3qmT3svPrePuDVFRyl6zRgoP988gAQAhic4vvNB7Mlsw51dR\np/cP55/S6XW7FbZ7t+xr1sj5/vuKfPZZRd95pyKfe67iNwzBiW8w54eqkZ3ZyM86WPkF4HeZuW7N\n/+aAVu0+rKHxRXrnTLdi+3b1Os++caOiJ09WSatWKjnjDJW0aqWinj1VzC2JAQA+QucXgN8c/H63\nFr67XJ+1OE9XfvWprtv2meKaNFbRBReo4MknAz08AEAIoPMLwH/y8uT8+GOFpacrbO/e0v/2OJ3K\nWb269LTSTu/uXA3r3VNvdW6mxrdNlyKeUk4Ahw8AAJ1feKH3ZLY651dcLMeSJYp4+WVFzphR6Tn2\n1asll0tF3brp+O23K3f2bOV+/LGkCjq9ozvplpHnq3H7s6WIiDp+R9bC9WcusjMb+VkHK78AZMvI\nUMxtt8mWl6eiPn1UUtmvjxo3Vv5rr3k9nJnr1vx1abXepxcAgIZG5xewuPANGxR7661yXXedjj/w\nQK12UKjXPr0AAPgAnV8AtRMVpbwXX1TRpZfW+CV1vSMbAACBRucXXug9ma22+RV361bjiW9F+/RO\n6NuKia8Pcf2Zi+zMRn7WwcovgGqx0gsACBV0fgGr8HhkX79eRRdeWOOXlL8N8eiudHoBAMGFzi8A\nbzk5irn7boX9+KNyli6VYmKqPL38pPfNUR11GpNeAEAIoPMLL/SezFY+v7Dt29V40CB5YmOVs2xZ\nlRPfUzu9kfYwvTmqo/5wfismvg2I689cZGc28rMOVn6BEOacO1dRjz6qgieekHvMmErPY6UXAGAV\ndH6BUFVQoJibb1bBo4+qpFOnCk8pP+kd1TWRSS8AwCh0fgGcEBWlvHnzKnyKlV4AgFVV2/l95pln\ndOGFF2r48OGljy1dulSDBw/W4MGDtXLlSr8OEA2P3pPZqsqPTm/w4/ozF9mZjfyso9qV38suu0zD\nhg3TtGnTJElut1vPP/+8FixYIJfLpfHjx2vgwIF+HyiAKrjdkscjRURU+DQrvQAAnFDtym+PHj0U\nHx9fevztt9+qXbt2atKkiVq0aKHmzZtrx44dfh0kGtaAAQMCPQTUgi09XY2uuELO996TVDY/VnrN\nw/VnLrIzG/lZR607v1lZWUpISNC8efMUFxenhIQEZWZmqkOHDv4YH4Aq2D/7TDFTpuj4pEly33RT\n6eOs9AIAULE67/M7ZswYDRkyRJJks9l8NiAEHr0nAxQXK3LGDMXcdZfy3npLrjvvlMLClJXn1kML\nv2Sl12Bcf+YiO7ORn3XUeuU3MTFRWVlZpccnV4IrMmnSJCUlJUmS4uLi1KVLl9JfK5z8S8YxxxzX\n/njfAw8o8euv5Vq5Up7ERC1ZuU7rDjm0syBS58V4dFvrbMUUZuu0qFZBMV6OObbC8UnBMh6OyS9U\nj7du3apjx45JklJTUzVhwgTVRo32+U1PT9fEiROVnJwst9utIUOGlH7g7cYbb9Ty5cu9XsM+v4AP\neDxSBb9ZsR06JE98vDILitmnFwBgaT7f5/fxxx9XSkqKjh49qosvvljTp0/X1KlTNXbsWEnSQw89\nVPfRAvBi279fjs8+kyMlRbbDh5X7ySde52RENNL8Dfvo9AIAUEvc4Q1e1q5dW/rrBTSQwkJFPv20\nHCkpCktPV9HAgSq89FIVDhokT2Ji6Wk1uSMb+ZmN/MxFdmYjP3NxhzfARA6HPHFxyn/2WRX37i3Z\ny16a7N4AAIBvsPILNITiYoVv2iRHSorcv/+9Stq3r9HLarLSCwCAlbHyCwQJ26FDcnz+uewpKXL8\nsitD4e9+J0VGVvtaVnoBAPCPOu/zi9BVftsX1I3zgw/k+OgjFfXvr+yVK5W9bp0KHntMJWeeWelr\nfHFHNvIzG/mZi+zMRn7WwcovUA+2o0cVlpqq4q5dvZ5zTZwo18SJNXofVnoBAGgYdH6BOnAuWCDn\n22/Lvm2bXNdco4KZM+v0PnR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55xV3111qevXVSujRQ1Hffy/vqacGcOTBEc7ZoXbkZx2s/AIAalTnTm9ZmWx7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\nAADAMv4/j52kmglEsMAAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], @@ -1151,7 +1280,7 @@ " self.y = self.y0 = 0\n", " \n", " self.v0_y = v0 * math.sin(self.theta)\n", - " self.v0_x = v0*math.cos(self.theta)\n", + " self.v0_x = v0 * math.cos(self.theta)\n", " \n", " self.noise_scale = noise_scale\n", " \n", @@ -1200,7 +1329,7 @@ "output_type": "display_data", "png": 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DcyWWqcUijqgXyqxIzP+rryyuuiqNa65J4+KL05k/PzaXiiMx+3ii/M0KR/5f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\nfv36Yds2a9asoaCggKysLPLy8sjNzWX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UR0SWgDO/ZHVsV6+G3axZKFmyBNpu3XDgSj4+OpSC3pEeGNTIh8snEZm5tIIy\nLNybDHtbOaY8FgQXNVf1JLJknPklug9du3Yo3L0bBY93xuJ9Sfjyz2uY0SUELzTxZeNLZAH8XdRY\n/EQYgmvYIWb9BZzPKpa6JCIyIWx+zQBng8Tal5SEszJHjF53AXKZDMufrINILwepyzJL3DfFYp7i\nKOQyRGqvYHSrmpi2LREbTqQAmZlSl2XWuH+Kwyylxe+CyKroDEbszrbB2aQreL1tAKJruUpdEhFV\noTZBrgh2s8PstSdx8YfjeK1fE6jatJK6LCKSEGd+yXKVlkK1ahXKX3kFkMuRXazBrB1X4KRSYkL7\nQLjZcyUHImtRrjNg+c9HcC75OmY4Z8Nv1IsAT2olsgic+SUCILt2DU5PPAHFX38BOh3OZhRh7IZ4\nRAe5YHa3EDa+RFZGpZRj3KBoDGgfjnH6UByc/D5QWCh1WUQkATa/ZoCzQZWjOHECzl26QNO7N4qX\nL8fGywV4b8cVTGhXC8829MHBgwelLtFicN8Ui3mKdbc8u7QOx/tPReGroGh8unIXNHqDBJWZJ+6f\n4jBLabH5JYtis3YtHJ95BiULF+LGmNfwwYEUxJ7PwYe9w9E8wFnq8ojIBIT4uuKjl9siJ7IB3oi9\nhIwb5VKXRETViDO/ZDkMBjiMHImyceOQGRSGmTuuwMvRFhPbB8LORiF1dURkYoxGI349m42fTmVi\nQvtAtAzkpcyJzFFlZ3652gNZDrkcxV98gbMZRZiz4SL61PXAsw29eaU2IrormUyGp6K8EOFpjzm7\nr6JLZjGGNPGBQsEvRYksGf+FmwHOBj0Yo9GI2HPZmLnjCsa3C8CgRj53bXyZpzjMUizmKdaD5lnP\nxxGf9KuDC1nFeGf+ryjcsqOKKzNP3D/FYZbSYvNL5sv4/xM7Gr0BH+5PwcbzOVjSOxwtAvj1JRE9\nuBp2NpjbIxSR9Wph9HkZ4hd8Cuj1UpdFRFWAM79klmx/+gnKPXtQsnw5coo1eG/HFXg42GBi+1qw\nt+V8LxE9vD/PJGPRviQ8f+UIer/7CmQu/GGayJRxnV+ybHo97GbOhHr+fJS9/jriMoowdsNFtAp0\nwbudgtn4EtEjax4ViGXPN8W2oCZYNnc1tAU3pC6JiARi82sGOBv0jxs34DB4MBTHjuHG9u3YaPTA\njB1XMK5tAJ5rfPf53rthnuIwS7GYp1iPkqe3qz0WvtIB1xs3w9sHM1BUrhNYmXni/ikOs5QWm18y\nC7KsLDjz6Q5vAAAgAElEQVR37w6jtzeur/kZH5wrxoa4bCzpHcbliYioStjZKjFtYDME1bDD+NhL\nyLyhkbokIhKAM79kHrRa2GzejIxOPfDeritws7PBpA6c7yWi6rHubBbWnM7CzC4hCPe0l7ocIroF\n1/kly2Rjg9OtO+O9jRfxRKQHBjXyhpzr9xJRNXmyvhe8nWzx9tYEvFHPAa0bBgFyfnlKZI74L9cM\ncDYIOJxUgGnbEvFamwA839jnkRpf5ikOsxSLeYolOs/oWq6Y3S0EHx1Ow6Z3lgGlpUJf39Rx/xSH\nWUqLzS+ZJq224o+/X8jB0gPJmNU1BK1rcb6XiKRTx9MBHzzTCBt8ovDljK9gyM6WuiQiqiTO/JJp\nMRqhXrIE8gsXUPzZZ/j+ZCa2XczF3O61UdNFLXV1REQAgKJSLWZ/vQcO11IweUg7qOqESV0SkdXi\nOr9kvoxG2M2YAdtffkHRjBn46GAqDl7Nx5Le4Wx8icikONrZYNaoTnCoXQuTfj6NvLQsqUsiogfE\n5tcMWMVskF4P+3HjoDx4EDkbNmLW2VKkFpZhUa8wuNnbCH0rq8izmjBLsZinWFWdp41CjvHDOqJV\ndF28tj8bV/MsewaY+6c4zFJabH5JehoNHEaMgDwpCdd++gVTj+TCRiHD7G614cClzIjIhMlkMjzX\nMRIvNvPFpE2XcSKtUOqSiOg+OPNL0tProVqxAqnPDMZbe1LRxN8JI1v6cykzIjIrp9NvYPbOqxje\nwg/dwt2lLofIanDml8yPQoGLg4Zh/PYkdAlzwyg2vkRkhhr4OmHxE2FY/VcGVm05DWNBgdQlEdFd\nsPk1A5Y+GxSXUYRJmy7jxaZ+GNjAG7IqbnwtPc/qxCzFYp5iSZFngKsaS/uE42RiDj54/ydok1Or\nvYaqwv1THGYpLTa/JKlDSfmYseMKJj9WC53D3KQuh4jokbna2eD9lzugrFYw3vlmP8ouX5G6JCK6\nBWd+qVrJL12C3cyZKP7mG2xKKMB3J9LxXpfaCPe0l7o0IiKhDEYjPv1qOxLSCzDn6YawjwyXuiQi\ni8SZXzJZitOn4dSnDzTde+C7MzlYcyoTi3uFs/ElIoskl8kQM7wLImvWwJR1cSjIyZe6JCICm1+z\nYAmzQcrDh+H49NO4MX8BFgW1w+GkAnzYOxz+Lqpqr8US8jQVzFIs5imWKeQpk8nw8oud0LRlBCbu\nTcf1Eu39n2SiTCFPS8EspcXml6qccvt2OAwZguvLV2CaXT1cK9RUycUriIhMkUwmw4udIvFYSA1M\n+O0Ssoo0UpdEZNU480tVzm76dOR264W3c13h5WiLie0DYaPgz11EZH1+OZ2JjedzML9nKHydqv+b\nLyJLxJlfMjlZb72LSVnOCPOwx5THarHxJSKr9XQDbzwd5YWJv11CagZngImkwC7EDJjzbNCNch2m\n/n4ZDXwcMbqVaVy8wpzzNDXMUizmKZap5tmnrieGNPDElJ9OIGXTLqnLeWCmmqc5YpbSYvNLVaaw\nTIcpm/9ufF9p6V/lF68gIjIX3ep545W6Lph0WYYrv26Ruhwiq8KZXxJKefgw9GFhKHB0xdTfL6OR\nnxNebuHHxpeI6C4O7zmFJafyMNv7BsKe7S11OURmiTO/JBnlwYNwGDoURZeusPElInoArR9riEnN\nPfBOlhPOf7tO6nKIrAKbXzNgDrNBiqNH4TBsGNJXfIlJGU5obMKNrznkaS6YpVjMUyxzybNZdH28\n1doH07UBOJ5aKHU5/8lc8jQHzFJabH7pkSn++guOgwfj2kfLMSHfC038nTDCRBtfIiJT1LB5BKb1\nisD7e5JwOKlA6nKILNo9Z37nz5+PjRs3ws3NDbGxsQCAzZs3Y+nSpQCAqVOn4vHHH7/jeZz5tR7y\nlBQ4demC9EVLMEEbhKb+ThjenI0vEdHDiM8uxrtbEzEmuibah9SQuhwisyB05rdr165YsWJFxbZG\no8HixYvxww8/YOXKlZg7d+7DV0oWwVCzJtK+/wlvaILQjI0vEdEjqePpgHk9auPTw6nYcem61OUQ\nWaR7Nr+NGzeGq6trxfbp06cRFhYGNzc3+Pr6wsfHBxcuXKjyIq2dKc8GFZTrMTFJheYBznjJTBpf\nU87T3DBLsZinWOaaZ213e8zvGYqvD13F9sWrAKPwRZkeirnmaYqYpbQqNfObnZ0NT09P/Pjjj/j9\n99/h6emJrKysqqqNTFxBmQ5TNl9CiwBnvNTM1ywaXyIic1Crhh0WdayJ7xQ18fuClSbTABNZgoc6\n4e3ZZ59Fjx49AIANTzVo27at1CXc4f8bXxcMM7PG1xTzNFfMUizmKZa55+kX4IWFT0dhtSoQu5d9\nL3U5Zp+nKWGW0lJW5sFeXl7Izs6u2L55JPhuXn31VQQGBgIAXFxcEBUVVfFh3zzcz23z2m4XEgL7\nCROwYdjLWJnpgk4RvnixmS8OHjxoEvVxm9vc5ralbV+6ehGDamnwebI/7Ff8BG09f5Oqj9vclmL7\n5p+Tk5MBACNGjEBl3PcKb6mpqRg9ejRiY2Oh0WjQo0cP/PzzzygvL8fQoUOxbdu2O57D1R7EOnDg\nQMUHLxVZZiac+vRB5vMvYpz/Y2hVywUvNjWvI743mUKeloJZisU8xbKkPBPiruCtncmY0q4mmjSu\nLUkNlpSn1JilWJVd7UF5rztnzpyJ7du3Iz8/Hx06dMD06dMxYcIEDBo0CADw1ltvPVq1ZBZkublw\nevJJZD39LF73fwzRtVww1EwbXyIic1S7XjCmObtixt5UTPctQn0fR6lLIjJb9z3y+zB45NdyyPLz\n4di3L7K69sTrEX3QJsgVQ5r4sPElIpLAsdRCzN+ThLndayPMw17qcohMgtB1folsf/oJuR06sfEl\nIjIBzWo64/U2AXh3awKS88qkLofILLH5NQO3DnhXt/xhwzGx6TNoXtPZYhpfKfO0NMxSLOYplqXm\n2TbYFcNb+OHNLZeRcb2o2t7XUvOUArOUFptf+k86gxGzdl1FrRpqjGhhHhewICKyBl3C3PFMqBPe\n+uYgrp8+L3U5RGaFM790VwajEQv2JKFEq8f0ziFQyNn4EhGZmjWrtmFXejkWPh0Fp9AgqcshkgRn\nfunRFBXBaDRixZE0ZBVp8FbHYDa+REQmasCQLmjprsA7a06gJOWa1OUQmQU2v2agumaDbL/+Go5D\nh+LHU5k4ee0GZnYNgVppebsIZ63EYZZiMU+xrCFPmUyGF0f0QLiLDWauPABNdk6VvZc15FldmKW0\nLK+zoYdis2kT7BYtwi9vzMXv8bmY2z0UTqp7LgNNREQmQCaTYfToXvBwtcesHVeg1RukLonIpHHm\nl6A4cgSOQ4Zgy4qfsPSaEoufCIO/i1rqsoiIqBJ0BiNm7bwCG7kMbz4exJE1shqc+aVKkcfHw/HF\nF3Howy/xQZoS73WrzcaXiMgMKeUyvP14EG6U67D0QAqMRuHHtogsAptfM1CVs0E2O3fi9LvzMCOv\nBt7qGIRwK7hiEGetxGGWYjFPsawxT1ulHDO6hCApvxSfHU0T2gBbY55VhVlKi82vlbvywnBMlYVh\nbJuaaOznJHU5RET0iOxsFJjdrTZOXSvC/7aeAXgEmOg2nPm1YtdLtBgfexEDGnjjiUgPqcshIiKB\n8ko0mLRiL/por6HPpCEAL1REFoozv/RAijV6vLUlAV3C3Nj4EhFZoBr2tpg3sBF+sfHH7hW/SF0O\nkclg82sGRM4GyfLzodEZMH1bIur7OOD5xj7CXttccNZKHGYpFvMUi3kCnv6emN0jFJ9pPBH36/ZH\nei3mKQ6zlBabXyui+vRTqIYNw9zdV1HDXolXW9eEjF+DERFZtMCIILzV0AXvpSiRevCE1OUQSY4z\nv1bC5tdfYTdtGmYuXINM2GJW1xDYKPizDxGRtdi5dg++LXLCkoENUMPORupyiIThzC/dQbl/P+yn\nTsWyhd8joVyBaZ2C2fgSEVmZTk89hsfr+WL6tkSU63gVOLJe7IDMwKPMBini4uAwfDhWLVyFfUU2\nmN0tBPa2CoHVmR/OWonDLMVinmIxzzsNbeoLX2cV5u9JgqGSS6AxT3GYpbTY/Fo4xR9/YMOMj7Cm\nxAnzuofClV91ERFZLZlMhgntA5FfpsVXf1yTuhwiSXDm18KdzSjCzB1XsKBnKILd7KQuh4iITEBh\nmQ7jYi/iaR85eraLkLocokfCmV+qkF5Yjtk7r2DKY7XY+BIRUQVntRKzHquJ706k468fN0tdDlG1\nYvNrBh5mNqhYo8e0bYl4tpEPmtV0roKqzBdnrcRhlmIxT7GY5735ezpjeksPvJ9pj6u7j9738cxT\nHGYpLTa/FkaWnw+9wYi5u64iytcRfevy6m1ERHR3Ea2iMDZIgXf/KsT185elLoeoWnDm14LY/vwz\nVJ99hgWzV+FqXinmdA+FUs6LWBAR0b39/PVm7M3SYuGwNrDz5kETMi+c+bVSimPHYPf22/jp7SX4\nM7UQ73QKZuNLREQP5OlhPRDupMDcfSnQG4QfEyMyKWx+zcD9ZoNkqalwHDoUBxZ+hpXXgFldQ+Ck\nUlZTdeaHs1biMEuxmKdYzPPByWQyvDq6F7SOTlh+JBXGu6wBzDzFYZbSYvNr7oqL4fjCC7g0ahxm\n3fDEWx2D4O+ilroqIiIyM0q5DO92Csbp9CL8ejZb6nKIqgxnfs2ccudOlP32O16JfglPR3mhZwRn\ntYiI6OFlFWnw+saLiImuibZBrlKXQ3RflZ355XfjZq7s8Y54uzwQzd3s2PgSEdEj83K0xcyuIXh7\nSwI8tSWoE+YndUlEQnHswQz812yQ0WjEp4dSYaOQ45UW/tVclfnirJU4zFIs5ikW83x44R72eKOu\nPWZuuoCsU+cBME+RmKW02PyasQ3ncnAmswhvPh4EBVd2ICIigVo3qY1Bbhq8szURxWkZUpdDJAxn\nfs2N0QjIZPgzpRCL9yXhwz7h8HVSSV0VERFZqBXL1uHqDR1mvdEbSjueUE2mh+v8WrLSUjj274+U\nk/FYsDcJ73YKZuNLRERVakRMX9jaKPDN0rVSl0IkBJtfM3DgwAHAaIT9uHHI8/LDO/E6vNLSD/V8\nHKUuzSxx1kocZikW8xSLeYqhUMgxcXhHHFB5YedfSVKXYxG4b0qLza+ZUC1dCkNCIqb0HIv2ITXQ\nJcxd6pKIiMhKOLm7om8De3wWV4jLOSVSl0P0SDjzawZsNm+G3aRJmL74F9xQqDCtczDkMp7gRkRE\n1WtfYh6++OMaPu5XBy5qrpZKpoEzv5amqAj2kyfjm4Xf4nKpDFMeq8XGl4iIJNE+pAY6hLhi7q4r\n0BuEHzsjqhZsfk2doyOWzvoIa/NVeK9rCOxsFFJXZPY4ayUOsxSLeYrFPMW6meewZn6QyWT4+s9r\nEldkvrhvSovNr4lLzC3F+nwXTOscDE8HW6nLISIiK6eQy/DW40E4cCoZB76NlbocokrjzK8JKyrX\nIWZ9PF5s5ovHa7tJXQ4REVGFxGPnMPVQNhY2c0at6MZSl0NWjDO/FsJgNGLB3iS0DHRh40tERCYn\npFldxPhoMfNQJm5cy5S6HKIHxubXxCh37IDNb7/hp1OZKCzT4+UWfpwNEox5isMsxWKeYjFPse6W\nZ4eBndFaWYyF3+yFXqOVoCrzxH1TWmx+TYg8Ph4Or76KY2pPbDiXjXc6BcFGwY+IiIhM17CYvtAo\nbbD6c87/knngzK+JkBUUwKlTJySPm4xRskhMeTwIjf2cpC6LiIjovvIzcjFmZxpGRQeibbCr1OWQ\nleHMrzkyGGD/6qso6dwV050bol99Tza+RERkNlx93DGtayiWHkxBUl6p1OUQ3RObXxOg+vhjyLOz\nsfSJkXC1s8EzDbxvu5+zQWIxT3GYpVjMUyzmKdb98gz3tMfLLfwwc8cVFGv01VSVeeK+KS02vyZA\n99hj2Dj7U/x5rQiT2gdCxiu4ERGRGeoa7o4m/k6Yv+cqDEZeAY5ME2d+TcDVvFJM2nQZ7/eojdru\n9lKXQ0RE9NC0egMm/3YJzcuz8NzAdlKXQ1aAM79mplijx3s7ruDlFn5sfImIyOzZKOSY1twNm65p\ncGzNVqnLIboDm18JGY1GLN6XjIa+juga7v6fj+NskFjMUxxmKRbzFIt5ilWZPGv4eWJac3csTFfh\n2om4KqzKPHHflBabXwnIrl0DAKw9m42sIg1Gt6opcUVERERi1WnTCC+5lWHGzqsozcmTuhyiCpz5\nrWbyhAQ49eiBg79swXuni7Gsbzh8nFRSl0VERFQlPlr8CwrLdXhrygDIFAqpyyELxJlfU1ZSAoeh\nQ5E69V3MOVuCSR1qsfElIiKLNjKmN7JdvfDj8WtSl0IEgM1v9TEaYT9xIsqjGmC6Z0v0jHBH8wDn\nB3oqZ4PEYp7iMEuxmKdYzFOsh83TVq3CO0PbYv2lfJzJKBJclXniviktNr/VxHbVKihPnsTHz0+G\n2kaO5xv7SF0SERFRtfBwsMWE9oF4f/dVFJbppC6HrBxnfquDTgenXr3w+/QlWJFswCf96sBZrZS6\nKiIiomr1+dE0pOSX4b2uIbygEwnDmV9TpFTi3I/rsTRRh3c7BbPxJSIiqzSsmS/yy3RYdzZL6lLI\nirH5rQalWj3e23UVLzbzRbhn5S9kwdkgsZinOMxSLOYpFvMUS0SeNgo53nqsFn7cfwmX9x8XUJV5\n4r4pLTa/VcxoNGLJgRSEe9ijZ53/vpAFERGRNfB1UeN1j1LM/SMbxbn5UpdDVogzv1Vs47lsbL6Q\ngyV96kCt5M8aREREAPDJwjUo1hkxacoAyOT8/5EeHmd+TYDs2jXYzZiB+KxifHciA+92CmHjS0RE\ndIsRo5/AFYUDtq/8TepSyMqwIxNNq4XjSy+h2LkG5u25irHRNeHv8mgXsuBskFjMUxxmKRbzFIt5\niiU6T5WjPd7qGoovi1yQfDZB6GubOu6b0mLzK5jd9Okw1KiBRU36ooGPE9qH1JC6JCIiIpMU0CgC\nIxp6YNYFDcp0BqnLISvBmV+BbNavh93MmdiwKhbfxRfik351YGfD65gTERH9F6PRiPl7kqBSyjG+\nXaDU5ZAZ4syvROSXL8N+0iRc/uxrfHo6D28+HsTGl4iI6D5kMhleaxOA0+lF2J2QJ3U5ZAXY/Api\n8PJC4YrPMSfTHs808EKYR+XX8/0vnA0Si3mKwyzFYp5iMU+xqjJPe1sF3u4YhE8PpyKtoLzK3sdU\ncN+UFptfUZydsdIlAvY2CvSP8pK6GiIiIrMS6mGP5xv7YN7Wi9CUlEpdDlkwzvwKcjq9CHN3XcGn\nT0bAzd5G6nKIiIjMjtFoxOzF6+EDDV6e+IzU5ZCZ4MyvBG6U67Bg71WMbxfIxpeIiOghyWQyjBvS\nHvvlbvjz111Sl0MWis3vw9LpgLKyissXtw50RctAlyp5K84GicU8xWGWYjFPsZinWNWVp5OXO95s\n5IJFKTJkX0qqlvesbtw3pcXm9yGpFy+G3bvvYsvF60jNL8PLLfykLomIiMgiRHZsgaeUeViw9gT0\nGq3U5ZCF4czvQ1AcOwbHF17A2djtGH8kD4ueCENQDTupyyIiIrIYBr0e7yzaiIiImhjSt7nU5ZAJ\n48xvVSsqgsOoUcifvwDzzhZjaFNfNr5ERESCyRUKTBzTC5uL1fgr7YbU5ZAFYfNbSfbvvgtdy5b4\nwqcpPB1t8USkR5W/J2eDxGKe4jBLsZinWMxTLCnydHOwxaT2tbBgbxLySixn/IH7prTY/FaC4tgx\nKHfvxr7X38WehDy80S4QMplM6rKIiIgsVtOazugS5oYFe5NgMAqf1CQr9NAzv5GRkahTpw4AoHnz\n5nj77bcr7rPYmV+jEfmpGRi1PwdTOgShsb+T1BURERFZPL3BiAm/XUJ0kAsGNvCWuhwyMZWd+VU+\n7Bup1WqsX7/+YZ9ulowAFp0rQZdQNza+RERE1UQhl2Hq47Uw9uczaKHJQVCzelKXRGaMYw+VsD4u\nGwVlOgxtVr3LmnE2SCzmKQ6zFIt5isU8xZI6Tx8nFUbK0rFg9xVoSsskreVRSZ2ltXvo5lej0aB/\n//4YNGgQjh07JrImk5SYW4rv/8rA1MeCoJRzzpeIiKi6dRraC966Evz4eazUpZAZe+iZ39zcXLi7\nu+PMmTMYM2YMtm/fDltbWwAWNPOr1UKemoqSgFoYuz4eAxp4oWu4u9RVERERWa385GsYtS4eMxo6\nIuIxrv9L1Tjz6+7+dxMYFRUFLy8vpKamIiQkpOL+V199FYGBgQAAFxcXREVFoW3btgD+/3C/qW93\n3rsXivh4TO0zBo56GbqERZhUfdzmNre5zW1uW+P2OF8tFhy/jiHanVDaqSSvh9vVu33zz8nJyQCA\nESNGoDIe6shvQUEBVCoV1Go1UlNT8dxzz2Hbtm1Qq9UALOPIr+LoUTgOHYrff9yC5ReK8Vn/CDjY\nKiSp5cCBAxUfPD065ikOsxSLeYrFPMU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w+T2IyPWx0CW7qNO9VXI5jKNGSfbkGsxWrP89A/N3JGJU22C8dl8MGnrZbwql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\nPX5XKCxWEf85ll21E27zABuRo7DQdbI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jN9pjs39x2L183XFAHjlyJNavX19zW6PR4O2338Y333yDTZs2YcWKFXf8OFFj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\nOCRj3EG2MuUaPZYdTMDU7v4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pumYeT7y7goKTuWaXIyIuRP+6uzjNKhnntCwLCvAZPx6/wYMrfpRbXM6YBXuJ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\nrCz+v7ups//fDQ0N5OqGlv0oODiYn6FuaLsftTyFmDxd09F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BU09RdM01ZpclUqW4WSxER9bk2gYB/C8xm892pvDJjpPc2T6Urg1r4u6mZeFE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\nIiICXFE/gKdvasILAe3Y+N81ZpcjVZg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cmY15Sc3RxN8gQ1VUV0o+93y9dHjutjgs3JWNnDJznfbx+v57+E2f7trCJKLk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\ny10OEXmQzRnFWJNeiDeHtmjQcTT5+Qj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"text": [ - "" + "" ] } ], @@ -1514,7 +1643,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 31 + "prompt_number": 27 }, { "cell_type": "code", @@ -1547,7 +1676,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 32 + "prompt_number": 28 }, { "cell_type": "code", @@ -1567,13 +1696,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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EJBPVN8CcpREb8xOHWa/H3Hkr0avyFJI6BjA7wTlKfu7OWtzfJwwf+nSF2wsv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\nLtqZjX6FsagBuKGhQU6nc87a27dvVVdXJ5fLper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7CpFqcQeYiIRhv3EjKt/7CI8++QEWDQ1HtyA3uSMRWWTriUz8vPF7LBvbHnX9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\nPmKxWFk2aRKHw7HcW5BFUjuzqZ/Z1M9camc2q/a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"text": [ - "" + "" ] } ], - "prompt_number": 33 + "prompt_number": 29 }, { "cell_type": "markdown", @@ -1595,25 +1724,478 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[[ 0.02143298 0.01351531 0.00364892 0. 0. 0. ]\n", - " [ 0.01351531 0.01153516 0.00352809 0. 0. 0. ]\n", - " [ 0.00364892 0.00352809 0.00115592 0. 0. 0. ]\n", - " [ 0. 0. 0. 0.05456716 0.11122734 0.01865339]\n", - " [ 0. 0. 0. 0.11122734 0.5379301 0.07344247]\n", - " [ 0. 0. 0. 0.01865339 0.07344247 0.18002138]]\n" + "[[ 0.05261574 0.09937383 0.10362656 0. 0. 0. ]\n", + " [ 0.09937383 0.29131298 0.41184609 0. 0. 0. ]\n", + " [ 0.10362656 0.41184609 0.95895574 0. 0. 0. ]\n", + " [ 0. 0. 0. 0.05261574 0.09937383 0.10362656]\n", + " [ 0. 0. 0. 0.09937383 0.29131298 0.41184609]\n", + " [ 0. 0. 0. 0.10362656 0.41184609 0.95895574]]\n" ] } ], "prompt_number": 30 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "now what if some measurements missing blah blah\n" + ] + }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "def plot_ball_filter6_miss (zs, miss_ratio=0.2):\n", + " xs, ys = [],[]\n", + " pxs, pys = [],[]\n", + " \n", + " for i,z in enumerate(zs):\n", + " m = np.mat([z[0], 0, 0, z[1], 0, 0]).T\n", + "\n", + " f1.predict ()\n", + " print (i, f1.x) \n", + " \n", + " if i < 20 or i > 40:\n", + " #if random.rand() >= miss_ratio:\n", + " f1.update (m)\n", + "\n", + "\n", + " xs.append (f1.x[0,0])\n", + " ys.append (f1.x[3,0])\n", + " pxs.append (z[0])\n", + " pys.append(z[1])\n", + " \n", + " if i > 0 and z[1] < 0:\n", + " break;\n", + "\n", + " p1, = plt.plot (xs, ys, 'r--')\n", + " p2, = plt.plot (pxs, pys)\n", + " plt.axis('equal')\n", + " plt.legend([p1,p2], ['filter', 'measurement'], 2)\n", + " plt.show()" + ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 30 + "prompt_number": 44 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dt = 0.1\n", + "noise = 0.0\n", + "f1 = ball_filter6(dt, R=.16, Q=0.1)\n", + "\n", + "x,y = baseball.compute_trajectory(v_0_mph = 90., theta=65., dt=dt)\n", + "znoise = [(i+randn()*noise,j+randn()*noise) for (i,j) in zip(x,y)]\n", + "plot_ball_filter6_miss (znoise)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0 [[ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]]\n", + "1 [[ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]\n", + " [ 0.]]\n", + "2 [[ 2.44405979]\n", + " [ 10.68643825]\n", + " [ 2.02487675]\n", + " [ 5.24130313]\n", + " [ 22.91714079]\n", + " [ 4.34236221]]\n", + "3 [[ 4.66270121]\n", + " [ 15.0959457 ]\n", + " [ 3.41998384]\n", + " [ 9.8787654 ]\n", + " [ 31.92489774]\n", + " [ 7.1854626 ]]\n", + "4 [[ 6.53889664]\n", + " [ 16.51155164]\n", + " [ 4.13016625]\n", + " [ 13.68152078]\n", + " [ 34.38243413]\n", + " [ 8.33579 ]]\n", + "5 [[ 8.26612083]\n", + " [ 17.03075509]\n", + " [ 4.25071537]\n", + " [ 17.06352352]\n", + " [ 34.78964978]\n", + " [ 7.8517589 ]]\n", + "6 [[ 9.89364089]\n", + " [ 17.09199018]\n", + " [ 3.69648655]\n", + " [ 20.11627647]\n", + " [ 34.01938789]\n", + " [ 5.48237438]]\n", + "7 [[ 11.42611493]\n", + " [ 16.79051327]\n", + " [ 2.55972089]\n", + " [ 22.84083372]\n", + " [ 32.26802293]\n", + " [ 1.5872627 ]]\n", + "8 [[ 12.87107224]\n", + " [ 16.23334243]\n", + " [ 1.17838404]\n", + " [ 25.26137529]\n", + " [ 29.85249228]\n", + " [ -2.78578886]]\n", + "9 [[ 14.24807549]\n", + " [ 15.56446867]\n", + " [ -0.09987618]\n", + " [ 27.43868368]\n", + " [ 27.19628665]\n", + " [ -6.64898788]]\n", + "10 [[ 15.57762857]\n", + " [ 14.89469275]\n", + " [ -1.10589939]\n", + " [ 29.43283218]\n", + " [ 24.60662615]\n", + " [ -9.58380039]]\n", + "11 [[ 16.87332115]\n", + " [ 14.27675526]\n", + " [ -1.82766582]\n", + " [ 31.28127693]\n", + " [ 22.21442747]\n", + " [-11.6235898 ]]\n", + "12 [[ 18.14212805]\n", + " [ 13.7239801 ]\n", + " [ -2.31896548]\n", + " [ 33.00164543]\n", + " [ 20.0392546 ]\n", + " [-12.9684103 ]]\n", + "13 [[ 19.3872636 ]\n", + " [ 13.23249429]\n", + " [ -2.64174192]\n", + " [ 34.60092379]\n", + " [ 18.05657215]\n", + " [-13.82119383]]\n", + "14 [[ 20.61032298]\n", + " [ 12.79363675]\n", + " [ -2.84612871]\n", + " [ 36.08182295]\n", + " [ 16.23273747]\n", + " [-14.33801914]]\n", + "15 [[ 21.81236356]\n", + " [ 12.39889874]\n", + " [ -2.96807894]\n", + " [ 37.44581783]\n", + " [ 14.53772217]\n", + " [-14.62728128]]\n", + "16 [[ 22.99434735]\n", + " [ 12.0413384 ]\n", + " [ -3.03216273]\n", + " [ 38.69430853]\n", + " [ 12.94798303]\n", + " [-14.7612569 ]]\n", + "17 [[ 24.15728912]\n", + " [ 11.71569135]\n", + " [ -3.05485765]\n", + " [ 39.82896024]\n", + " [ 11.44599382]\n", + " [-14.78742499]]\n", + "18 [[ 25.30228828]\n", + " [ 11.41810935]\n", + " [ -3.04713115]\n", + " [ 40.851739 ]\n", + " [ 10.01900867]\n", + " [-14.73682841]]\n", + "19 [[ 26.43052127]\n", + " [ 11.14585251]\n", + " [ -3.01624667]\n", + " [ 41.76485573]\n", + " [ 8.65788025]\n", + " [-14.6297248 ]]\n", + "20 [[ 27.54322312]\n", + " [ 10.89702311]\n", + " [ -2.96698642]\n", + " [ 42.57069332]\n", + " [ 7.35611195]\n", + " [-14.47931437]]\n", + "21 [[ 28.60325556]\n", + " [ 10.60032446]\n", + " [ -2.96698642]\n", + " [ 43.16151138]\n", + " [ 5.90818051]\n", + " [-14.47931437]]\n", + "22 [[ 29.63361814]\n", + " [ 10.30362582]\n", + " [ -2.96698642]\n", + " [ 43.60753628]\n", + " [ 4.46024908]\n", + " [-14.47931437]]\n", + "23 [[ 30.63431086]\n", + " [ 10.00692718]\n", + " [ -2.96698642]\n", + " [ 43.90876805]\n", + " [ 3.01231764]\n", + " [-14.47931437]]\n", + "24 [[ 31.60533372]\n", + " [ 9.71022854]\n", + " [ -2.96698642]\n", + " [ 44.06520667]\n", + " [ 1.5643862 ]\n", + " [-14.47931437]]\n", + "25 [[ 32.54668671]\n", + " [ 9.4135299 ]\n", + " [ -2.96698642]\n", + " [ 44.07685214]\n", + " [ 0.11645477]\n", + " [-14.47931437]]\n", + "26 [[ 33.45836983]\n", + " [ 9.11683125]\n", + " [ -2.96698642]\n", + " [ 43.94370448]\n", + " [ -1.33147667]\n", 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t6Q4ehH7RImWLsbHEvZsxZP+v+HBbltKl2AX/3RQb85OH6htgIpKf2SJhXp4n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\np0XS+aPYuWGf0uVQI3HtyUP1DTCRNTZ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+ "text": [ + "" + ] + } + ], + "prompt_number": 46 } ], "metadata": {} diff --git a/KalmanFilter.py b/KalmanFilter.py index e921fc7..53fcc0c 100644 --- a/KalmanFilter.py +++ b/KalmanFilter.py @@ -12,8 +12,21 @@ import numpy.random as random class KalmanFilter: - def __init__(self, dim): - """ Create a Kalman filter of dimension 'dim'""" + def __init__(self, dim, use_short_form=False): + """ Create a Kalman filter of dimension 'dim', where dimension is the + number of state variables. + + use_short_form will force the filter to use the short form equation + for computing covariance: (I-KH)P. This is the equation that results + from deriving the Kalman filter equations. It is efficient to compute + but not numerically stable for very long runs. The long form, + implemented in update(), is very slightly suboptimal, and takes longer + to compute, but is stable. I have chosen to make the long form the + default behavior. If you really want the short form, either call + update_short_form() directly, or set 'use_short_form' to true. This + causes update() to use the short form. So, if you do it this way + you will never be able to use the long form again with this object. + """ self.x = 0 # state self.P = np.matrix(np.eye(dim)) # uncertainty covariance @@ -24,6 +37,9 @@ class KalmanFilter: self.H = 0 # Measurement function (maps state to measurements) self.R = np.matrix(np.eye(1)) # state uncertainty self.I = np.matrix(np.eye(dim)) + + if use_short_form: + self.update = self.update_short_form def update(self, Z): @@ -39,11 +55,41 @@ class KalmanFilter: K = self.P * self.H.T * linalg.inv(S) # map system uncertainty into kalman gain self.x = self.x + (K*y) # predict new x with residual scaled by the kalman gain + + KH = K*self.H + I_KH = self.I - KH + self.P = I_KH*self.P * I_KH.T + K*self.R*K.T + + + def update_short_form(self, Z): + """ + Add a new measurement to the kalman filter. + + Uses the 'short form' computation for P, which is mathematically + correct, but perhaps not that stable when dealing with large data + sets. But, it is fast to compute. Advice varies; some say to never + use this. My opinion - if the longer form in update() executes too + slowly to run in real time, what choice do you have. But that should + be a rare case, so the long form is the default use + """ + + # measurement update + y = Z - (self.H * self.x) # error (residual) between measurement and prediction + S = (self.H * self.P * self.H.T) + self.R # project system uncertainty into measurment space + measurement noise(R) + + + K = self.P * self.H.T * linalg.inv(S) # map system uncertainty into kalman gain + + self.x = self.x + (K*y) # predict new x with residual scaled by the kalman gain + + # and compute the new covariance self.P = (self.I - (K*self.H))*self.P # and compute the new covariance + + def predict(self): # prediction - self.x = (self.F*self.x) + self.u + self.x = (self.F*self.x) + self.B * self.u self.P = self.F * self.P * self.F.T + self.Q diff --git a/baseball.py b/baseball.py index 2c86b45..7ae0e67 100644 --- a/baseball.py +++ b/baseball.py @@ -1,14 +1,7 @@ # -*- coding: utf-8 -*- -""" -Spyder Editor - -This temporary script file is located here: -/home/rlabbe/.spyder2/.temp.py -""" """ - Computes the trajectory of a stitched baseball with air drag. Takes altitude into account (higher altitude means further travel) and the stitching on the baseball influencing drag. @@ -20,9 +13,11 @@ LOWER the higher its velocity, which is somewhat counterintuitive. """ - +from __future__ import division import math import matplotlib.pyplot as plt +from numpy.random import randn +import numpy as np def a_drag (vel, altitude): """ returns the drag coefficient of a baseball at a given velocity (m/s) @@ -38,13 +33,45 @@ def a_drag (vel, altitude): return val - +def compute_trajectory_vacuum (v_0_mph, + theta, + dt=0.01, + noise_scale=0.0, + x0=0., y0 = 0.): + theta = math.radians(theta) + + x = x0 + y = y0 + + v0_y = v_0_mph * math.sin(theta) + v0_x = v_0_mph * math.cos(theta) + + xs = [] + ys = [] + + t = dt + while y >= 0: + x = v0_x*t + x0 + y = -0.5*9.8*t**2 + v0_y*t + y0 + + xs.append (x + randn() * noise_scale) + ys.append (y + randn() * noise_scale) + + t += dt + + return (xs, ys) + + def compute_trajectory(v_0_mph, theta, v_wind_mph=0, alt_ft = 0.0, dt = 0.01): + g = 9.8 + ### comput theta = math.radians(theta) - + # initial velocity in direction of travel v_0 = v_0_mph * 0.447 # mph to m/s + + # velocity components in x and y v_x = v_0 * math.cos(theta) v_y = v_0 * math.sin(theta) @@ -58,7 +85,6 @@ def compute_trajectory(v_0_mph, theta, v_wind_mph=0, alt_ft = 0.0, dt = 0.01): i = 0 while y[i] >= ground_level: - g = 9.8 v = math.sqrt((v_x - v_wind) **2+ v_y**2) @@ -69,7 +95,37 @@ def compute_trajectory(v_0_mph, theta, v_wind_mph=0, alt_ft = 0.0, dt = 0.01): v_y = v_y - a_drag(v, altitude) * v * v_y * dt - g * dt i += 1 + # meters to yards + np.multiply (x, 1.09361) + np.multiply (y, 1.09361) + return (x,y) + + +def predict (x0, y0, x1, y1, dt, time): + g = 10.724*dt*dt + + v_x = x1-x0 + v_y = y1-y0 + v = math.sqrt(v_x**2 + v_y**2) + + x = x1 + y = y1 + + + while time > 0: + v_x = v_x - a_drag(v, y) * v * v_x + v_y = v_y - a_drag(v, y) * v * v_y - g + + x = x + v_x + y = y + v_y + + time -= dt + + return (x,y) + + + if __name__ == "__main__": x,y = compute_trajectory(v_0_mph = 110., theta=35., v_wind_mph = 0., alt_ft=5000.) diff --git a/bb_test.py b/bb_test.py new file mode 100644 index 0000000..b0d1b04 --- /dev/null +++ b/bb_test.py @@ -0,0 +1,218 @@ +# -*- coding: utf-8 -*- +""" +Created on Wed Jun 4 12:33:38 2014 + +@author: rlabbe +""" + +from __future__ import print_function,division +from KalmanFilter import KalmanFilter +import numpy as np +import matplotlib.pyplot as plt +import baseball +from numpy.random import randn + +def ball_filter6(dt,R=1., Q = 0.1): + f1 = KalmanFilter(dim=6) + g = 10 + + f1.F = np.mat ([[1., dt, dt**2, 0, 0, 0], + [0, 1., dt, 0, 0, 0], + [0, 0, 1., 0, 0, 0], + [0, 0, 0., 1., dt, -0.5*dt*dt*g], + [0, 0, 0, 0, 1., -g*dt], + [0, 0, 0, 0, 0., 1.]]) + + f1.H = np.mat([[1,0,0,0,0,0], + [0,0,0,0,0,0], + [0,0,0,0,0,0], + [0,0,0,1,0,0], + [0,0,0,0,0,0], + [0,0,0,0,0,0]]) + + + f1.R = np.mat(np.eye(6)) * R + + f1.Q = np.zeros((6,6)) + f1.Q[2,2] = Q + f1.Q[5,5] = Q + f1.x = np.mat([0, 0 , 0, 0, 0, 0]).T + f1.P = np.eye(6) * 50. + f1.B = 0. + f1.u = 0 + + return f1 + + +def ball_filter4(dt,R=1., Q = 0.1): + f1 = KalmanFilter(dim=4) + g = 10 + + f1.F = np.mat ([[1., dt, 0, 0,], + [0, 1., 0, 0], + [0, 0, 1., dt], + [0, 0, 0., 1.]]) + + f1.H = np.mat([[1,0,0,0], + [0,0,0,0], + [0,0,1,0], + [0,0,0,0]]) + + + + f1.B = np.mat([[0,0,0,0], + [0,0,0,0], + [0,0,1.,0], + [0,0,0,1.]]) + + f1.u = np.mat([[0], + [0], + [-0.5*g*dt**2], + [-g*dt]]) + + f1.R = np.mat(np.eye(4)) * R + + f1.Q = np.zeros((4,4)) + f1.Q[1,1] = Q + f1.Q[3,3] = Q + f1.x = np.mat([0, 0 , 0, 0]).T + f1.P = np.eye(4) * 50. + return f1 + + +def plot_ball_filter6 (f1, zs, skip_start=-1, skip_end=-1): + xs, ys = [],[] + pxs, pys = [],[] + + for i,z in enumerate(zs): + m = np.mat([z[0], 0, 0, z[1], 0, 0]).T + + f1.predict () + + if i == skip_start: + x2 = xs[-2] + x1 = xs[-1] + y2 = ys[-2] + y1 = ys[-1] + + if i >= skip_start and i <= skip_end: + #x,y = baseball.predict (x2, y2, x1, y1, 1/30, 1/30* (i-skip_start+1)) + x,y = baseball.predict (xs[-2], ys[-2], xs[-1], ys[-1], 1/30, 1/30) + + m[0] = x + m[3] = y + #print ('skip', i, f1.x[2],f1.x[5]) + + f1.update_long_form (m) + + + ''' + if i >= skip_start and i <= skip_end: + #f1.x[2] = -0.1 + #f1.x[5] = -17. + pass + else: + f1.update (m) + + ''' + + xs.append (f1.x[0,0]) + ys.append (f1.x[3,0]) + pxs.append (z[0]) + pys.append(z[1]) + + if i > 0 and z[1] < 0: + break; +''' + p1, = plt.plot (xs, ys, 'r--') + p2, = plt.plot (pxs, pys) + plt.axis('equal') + plt.legend([p1,p2], ['filter', 'measurement'], 2) + plt.xlim([0,xs[-1]]) + plt.show() +''' + + +def plot_ball_filter4 (f1, zs, skip_start=-1, skip_end=-1): + xs, ys = [],[] + pxs, pys = [],[] + + for i,z in enumerate(zs): + m = np.mat([z[0], 0, z[1], 0]).T + + f1.predict () + + if i == skip_start: + x2 = xs[-2] + x1 = xs[-1] + y2 = ys[-2] + y1 = ys[-1] + + if i >= skip_start and i <= skip_end: + #x,y = baseball.predict (x2, y2, x1, y1, 1/30, 1/30* (i-skip_start+1)) + x,y = baseball.predict (xs[-2], ys[-2], xs[-1], ys[-1], 1/30, 1/30) + + m[0] = x + m[2] = y + + f1.update_long_form (m) + + + ''' + if i >= skip_start and i <= skip_end: + #f1.x[2] = -0.1 + #f1.x[5] = -17. + pass + else: + f1.update (m) + + ''' + + xs.append (f1.x[0,0]) + ys.append (f1.x[2,0]) + pxs.append (z[0]) + pys.append(z[1]) + + if i > 0 and z[1] < 0: + break; +''' + plt.plot (xs, ys, 'r--') + plt.plot (pxs, pys) + plt.axis('equal') + plt.legend([p1,p2], ['filter', 'measurement'], 2) + plt.xlim([0,xs[-1]]) + plt.show() +''' + +start_skip = 20 +end_skip = 60 + +def run_6(): + dt = 1/30 + noise = 0.0 + f1 = ball_filter6(dt, R=.16, Q=0.1) + #plt.cla() + + x,y = baseball.compute_trajectory(v_0_mph = 100., theta=50., dt=dt) + + + znoise = [(i+randn()*noise,j+randn()*noise) for (i,j) in zip(x,y)] + + plot_ball_filter6 (f1, znoise, start_skip, end_skip) + + +def run_4(): + dt = 1/30 + noise = 0.0 + f1 = ball_filter4(dt, R=.16, Q=0.1) + plt.cla() + + x,y = baseball.compute_trajectory(v_0_mph = 100., theta=50., dt=dt) + + + znoise = [(i+randn()*noise,j+randn()*noise) for (i,j) in zip(x,y)] + + plot_ball_filter4 (f1, znoise, start_skip, end_skip) + + +run_6() \ No newline at end of file diff --git a/secnum.js b/secnum.js new file mode 100644 index 0000000..fc413a1 --- /dev/null +++ b/secnum.js @@ -0,0 +1,74 @@ +console.log("Section numbering..."); + +function number_sections(threshold) { + + var h1_number = 0; + var h2_number = 0; + + if (threshold === undefined) { + threshold = 2; // does nothing so far + } + + var cells = IPython.notebook.get_cells(); + + for (var i=0; i < cells.length; i++) { + + var cell = cells[i]; + if (cell.cell_type !== 'heading') continue; + + var level = cell.level; + if (level > threshold) continue; + + if (level === 1) { + + h1_number ++; + var h1_element = cell.element.find('h1'); + var h1_html = h1_element.html(); + + console.log("h1_html: " + h1_html); + + var patt = /^[0-9]+\.\s(.*)/; // section number at start of string + var title = h1_html.match(patt); // just the title + + if (title != null) { + h1_element.html(h1_number + ". " + title[1]); + } + else { + h1_element.html(h1_number + ". " + h1_html); + } + + h2_number = 0; + + } + + if (level === 2) { + + h2_number ++; + + var h2_element = cell.element.find('h2'); + var h2_html = h2_element.html(); + + console.log("h2_html: " + h2_html); + + + var patt = /^[0-9]+\.[0-9]+\.\s/; + var result = h2_html.match(patt); + + if (result != null) { + h2_html = h2_html.replace(result, ""); + } + + h2_element.html(h1_number + "." + h2_number + ". " + h2_html); + + } + + } + +} + +number_sections(); + +// $([IPython.evnts]).on('create.Cell', number_sections); + +$([IPython.events]).on('selected_cell_type_changed.Notebook', number_sections); + diff --git a/secnum.py b/secnum.py new file mode 100644 index 0000000..d3de731 --- /dev/null +++ b/secnum.py @@ -0,0 +1,79 @@ +""" +IPython Notebook magic command for automatically numbering sections of a notebook "interactively" + +Use: + %install_ext https://raw.github.com/dpsanders/ipython_extensions/master/section_numbering/secnum.py + +once to install, and then + + %load_ext secnum + %secnum + +to get automatic section numbering, which is updated when any cell changes type. +(This could, of course, be more efficient.) + +This is based, completely and shamelessly, on MinRK's `nbtoc` magic + + +Thanks also to: +- Clayton Davis, for a great explanation of HTML, CSS and JavaScript +- Brian Granger, for a crucial hint about extracting a JQuery object from a notebook cell object +- Fernando Perez, for an inspiring talk at SciPy 2013 (and, of course, for creating IPython) + +""" + +import io +import os +import urllib2 + +from IPython.display import display_html, display_javascript + +here = os.path.abspath(os.path.dirname(__file__)) +secnum_js = "" + +def download(fname, redownload=False): + """download a file + + if redownload=False, the file will not be downloaded if it already exists. + """ + dest = os.path.join(here, fname) + if os.path.exists(dest) and not redownload: + return + url = 'https://raw.github.com/dpsanders/ipython_extensions/master/section_numbering/' + fname + print("Downloading %s to %s" % (url, dest)) + + filein = urllib2.urlopen(url) + fileout = open(dest, "wb") + chunk = filein.read(1024) + while chunk: + fileout.write(chunk) + chunk = filein.read(1024) + filein.close() + fileout.close() + +def load_file(fname, redownload=False): + """load global variable from a file""" + download(fname, redownload) + with io.open(os.path.join(here, fname)) as f: + globals()[fname.replace('.', '_')] = f.read() + + +load_file('secnum.js') + + + +def secnum(line): + """add a table of contents to an IPython Notebook""" + display_javascript(secnum_js, raw=True) + + +def update_secnum(line): + """download the latest version of the nbtoc extension from GitHub""" + download('secnum.py', True) + download('secnum.js', True) + get_ipython().extension_manager.reload_extension("secnum") + +def load_ipython_extension(ip): + ip.magics_manager.register_function(secnum) + ip.magics_manager.register_function(update_secnum) +