{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Signal Processing for Vibration Testing" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "init_cell": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "\n", "import control as ctrl\n", "import matplotlib.pyplot as plt\n", "import vibrationtesting as vt\n", "import numpy as np\n", "import scipy as sp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we create a state space model to use in an \"experiment\". We will sample it at 1 kHz, and add a bit of noise. The input is on degree of freedom 1 (state 3), with two displacement sensors, one at each degree of freedom. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sample_freq = 1e3\n", "noise_power = 0.001 * sample_freq / 2\n", "A = sp.array([[0, 0, 1, 0],\\\n", " [0, 0, 0, 1],\\\n", " [-200, 100, -.2, .1],\\\n", " [100, -200, .1, -.2]])\n", "B = sp.array([[0], [0], [1], [0]])\n", "C = sp.array([[35, 0, 0, 0], [0, 35, 0, 0]])\n", "D = sp.array([[0], [0]])\n", "sys = ctrl.ss(A, B, C, D)\n", "tin = sp.linspace(0, 204.8, num = 2048, endpoint = False)\n", "nr=.5 # Noise ratio. 0 is all noise on input" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we simulate `num_exper` experiments. We also put some noise in the inputs and outputs after the simulation. Remember, we want to simulate measured inputs, to the noise on the input is the error in measuring that input. Likewise, noise is added to the output afterwards. If we had added noise to the input before the simulation, we would be simulating a known error in the input force. That's not nearly as hard to compensate for. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "if 'Yout' in vars(): del(Yout); del(Ucomb) # Initialization line. \n", "num_exper = 25\n", "for i in sp.arange(num_exper): #was 2*50\n", " u = np.random.normal(scale=sp.sqrt(noise_power), size=tin.shape)\n", " t, yout, xout = ctrl.forced_response(sys, tin, u,rtol=1e-12,transpose=False)\n", " if 'Yout' in locals():\n", " Yout=np.dstack((Yout,yout+nr*np.random.normal(scale=.050*np.std(yout), size=yout.shape)))\n", " Ucomb=np.dstack((Ucomb,u+(1-nr)*np.random.normal(scale=.05*np.std(u), size=u.shape)))\n", " else:\n", " # 5% half the noise on output as on input\n", " Yout=yout+nr*np.random.normal(scale=.050*np.std(yout[0,:]), size=yout.shape)\n", " # 10% noise signal on input\n", " Ucomb=u+(1-nr)*np.random.normal(scale=.05*np.std(u), size=u.shape)#(1, len(tin))) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are 2048 time steps. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2048,)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tin.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that there are two output channels, and 2048 points each. In matrix form, each row represents one channel of data. Each column it a snapshot in time of all of the sensors. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 2048)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "yout.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That messy loop above also compiled each run separately in `Yout`. The number of individual experiments is represented by the 3rd dimension. This can be thought of as the depth into the page. If were were to average across all experiments, we average in the depth dimension. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 2048, 25)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Yout.shape" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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W+vca5AHBkgW17s1Y/yWwayXweH1gf4jZ7RKXTvoiaNsrC6V3zW8MK/x7N845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\n4Gl/B42rPwMePwwMfw+oJY4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UhpQAQRBECkNKgCAIIoUhJUAQBJHCkBIgCIJI\nYUgJEARBpDD/DzmrEYFeEPdwAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simultaneously plot all outputs resulting from the first excitation\n", "# This really makes no practical sense to do... but this is how you do it. \n", "# Note that we have to swap axes since we want to plot along the 2nd dimension (1-index)\n", "# but pyplot.plot plots along the 1st dimension (0-index). The notation used for data \n", "# makes more sense when plotting all outputs on the same dimension in the next cell. \n", "plt.plot(tin,np.swapaxes(Yout[:,:,0],0,1))\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('$y_n$, $n = 0, 1$')\n", "plt.title('$y_n$ versus time, $n = 0, 1$, first ``experiment\"');" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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CqbQGbLw/P16PX1Q2xCVf85dfonLWbHgtVtR+57uwrOIrv86G/oDpJEaeeuopPL3HJtk3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\n5B5ei2kfXAsn3w4jR6A3SmaAnEHoVext3qToxP2cAe22/IjHdX4KEGH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simultaneously plot all experiments as read from the first channel. \n", "plt.plot(tin,Yout[0,:,:])\n", "plt.ylabel('$y_0$')\n", "plt.title('$y_0$ versus time, all ``experiments\"');" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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7ZaMT3/Fswhcv/BseIYKsggAIPLBkLPDnHKAuvBuq6+RJUEpxutUBTkhNqAg5\nKfMOopQ+If3u3QPDEXAIAra2Ke14r/5Nqdv+NC0Nd89Ox6lx12L/1HtxyqKMAuqxKP35e4yKCWPD\ntDT/b3l1zBN1G+QdWIkrsRkOa/jxga3pTeA62rB6U2ByC/UI2Gk34GGs0cwnUCccjgqUlz+LpuZ1\nYc8RNZy6Ejgy5Q5d2TsaAyaCiJWPIbxiGX1PFbyDPvdv826tuSVy90OlRp5WLuD9x70Y1SSm+XLk\nl9iXvw9F43fj4kvegtkpVvycYILbYvbn+/7H38cjtwfs803PR+cjrwYnvVvumurQoHkyBOkSvMSL\n/dPPQc2oQGjoo9apcA6Jb6hoAEBFYCF4XjLT5nnawFFeYdddvTewjkIa8UJ4/sKQogajBd80jsMx\nWyFeK5+pOaje2NAAftl8vH/XPNS0iF+W+4Ur4HWrx76yb9uG8muuRceHHwKrV+L1Tx6G4Aw4ieR2\nJyE4YxCp8g5aQggpI4QEh6zsc3zVYsPCfWVokQV/OjwutAvpkd3pnxf9Q3Gs9OL74yxV6BtblR94\n0fQEwLBAbM2vnjlPzEMJbEJwl1ubd9ss2APxhdbq6DY3x9EcIIMQfSE+tHj5/93l/33om1pY834T\nJjWkNQu0u/O5RT5Fq61QOgUreMu5qsfOPybmm1QjVSQmO8pyyjBihOiEQGhAEQmyCVTlradwamh8\nLb5EqjKol8euD9/TTPfi1QHlU5cHVGaJYR0ogLb8cfDkD4mrXMF3dmO56MKdwXfjotbtYVICRkfo\nuMD/YrX/t81jRYdH3UyZ8+YCdFYfQ7UjF1/UirPCX2p8B6/9VjmbmEqz4N3lYmBF5+EjwMYvxWOO\nQCNwpC3QSIj3jGQtUjEwvJ5SmkcpHS/9G52jcZzoKq6HfZfGQFQU5jnf9H6XbAbtLx76KwBgkk1e\nGQVevjENFO8/7sW0cjHPw6fT9Z9QB6NqNim2Cxv3YMWff4OZJ/TZyk0eDyo/yUPnaQtG14oV+VbP\nOHzongYPVb4yBDys1k5UHGiGwKtXcuMsHDKlsQZDSxLmR8YQKM7Im3DTvt9iqE3prLZ3XejqW277\nalDqAigHgzcNlpw7YbTOUSk1WA5tuWo7ZyIj/VJw5ikBmTz61jcwCGbV/Xd9+wRuK4ktrLMaFi4N\n14wSYxAJQnhFWz5MmgtAKE5l9SyirB4cSMNrmwKRRt8v/7f/9+XuHRhO1OezZKFna3RbOqv8czoo\nCJqd4rfscijNPH6zMSf39AhgAo85xgrFvnXr4txD1mBAzhiuf6YEbatOoH21SnjaGPE90qd+FPAJ\nfmuHI0gRiJxZZcTG+Usxu+LU9HdPAAAgAElEQVT88GXGWEueUfaBYjvLLpqfxkgRCY4VqYcu9lHY\n3greYUDNlkH4z+N/xtC6OtQKotcSH6QhbxnzN8w+7yMMHXwIDocXez3D4Q6K7CnPkfdm4FhbW7zj\n5cdOvmM48ruHYW7ldYr9akHTBM8pEGJBbuvZ4Hixd0SM6nGflKg/0MxuARc5JbObbGA8vfMLpHd8\nou8CVIo3UCOs3gzF4XCvlL96IkAXT1HlFtDgERsOdr4Nd07YhTSTuDJYh3WkwuMmHArzVoI0/2E6\nERWNdnDSeh7y0xgIRQ5k4yGyg2bom4wX9r5Jl2fzWPH6qZn+/Q2nWgDia+BReHkBPl3gqW8AORJY\nPtUEAed1nURBUxPmfb0Jl25ITC9ZjQGpBLwNEWbfaviyO7OP4OS8e+E1dsFhFG+dP9CXlGbNxd9R\n5BndJUjpAvsMyAYAGC3qE4bez8pEM8fF7YPpTPPJKm6/kpmtTEApmi1fwm5WDyOdZevEMK8BD7an\nwehVmoSsBjGeS3Z2LfY5srCfH4E1NQEba7PM25QaKeqfDlSqDofekBvREsuNE/OQoBFyt0P7XTF5\ncjSPiYUpN71OdW/oy/cFznF0wjTFsYyOlcHJNTF6M+CwjoNA1E1A352XgavnqXskAQi4LwNY3+nF\nXgePnV087AZgQ2cmVjQtQ6ZlEzqyx6F4wiKcPuN38Bij68V2xlrlRNQ3FHN27MSNK0O9ubhw70Ow\nR4RWsrDp1MtftWQ/LDmLxBQCxXf+9Q0e/UQ099g3hlby3/38C3xnw0YMbWjA4CbtpUbjzYBUAuEQ\n3Dy6dqqbiSa4H8KZZXX4uKgDLRblSzFrxxHYrWkheR4/IA6eEVmzPjDYGPpilbs4PFaQj98MKYjb\nDM+9RUp75oZO5WCvwVuPhrQP8cUkaYp90IkPjByPM91iHotGxZefW+H3pnbzgfJ//gsjPGXrgZZ6\nCEG3h0ZwrYyVtJ3Rv9aBbzxWVz1lvtacQeANAbt49uhOCEITskaHmh/kd9tjHY6xzepjAwDw+cjA\nIPMOuwF2WUczu2MKmgbfgE3znkNz/tSQvM1WDk3W6O+NwyrGuffCAr75BFwWcd1mYrDi6CR190ot\n3lhggM2kHskzHKW5pfhmqHZkzZMYhzFVAa88ee/DIHmL+WYdG4RAIDpXuwn2Wguc7UbwboIurwlP\nl16MCrt8berwiEtGp4NwoXGhfBMFKRXElczUGpga37m1u1v9QJxhSiCI7v3hNfDgZjcq0gKtH/kj\n/fFfnwnN4E8XeNJjG7Rt8/9uFCvsds6gu5USLUSgMHkC8szuEL1GmrPVo0Q6zNYwakskI6MVGRni\nR6ilu4hU5y/ddye+qLgMNIJdOVYcJ2ckpFx1pB6Ef9sEmnU5Xr/xV1h/YSD0cdF3a5B7qQn0okz/\nvvxOHkYvVdzUmeUuTKm/VPMmOkwOmDwUWQ6K99osWNGiPlh/YFrPXW19WBCY8epGmqKR4OsJHJ6q\nPqlNzbsqFiVQn16P5rTo4lT5MBCK0RkX4sZxD8JMCKY0vaT4tOqKc3Dqi8Go2jQIdd1i13Vf23BF\nGeHNaBSWnLthyfmJZpry9nJYBn+qWo7r+FrwH4WuWXHdx5+g5lntOiVeMCWgk1YzgVvqZhvQparR\n27NCW8lqD/3845GqVPFILD2B+sGz0FCorATTeFEunznol58IeOupQAX89HExHr6W6/alJTtweaVo\nC+ZcytbJXV/9G28fFcMoCJK7qZMP9aSgRgoqNYz3NE7HyuPXA6AQYlx4Jhw1Iy+NOo+BD1XMnKkI\nhNNn7uBMowCYYLTORprxbMw+6UTNqLGKNBmDW/Bo9t9gdJXD4KrGvWs7cOM2u+o7cs/O58AJ0g3z\nhVuSEv75LR6vPCc+vwYvQZeOhX4Eg/5WZWm2MuyD3Pb/IXkO8rfaKY1JHzr7bN3lJwTZTTQFhXi2\neS0oSBNt9RaE3gff1TlbAwPswao97LdKACLVDRNa1N29//LerzG94wCg8hz4Bu1ZwsU7N2seixdM\nCejkikszcc8UMf5KDo0c48QHDfkRsqEKBxqTafvImT/B4al3Kc4yyD1bkeaCUvWCz3BU4rKWnSEL\ny0ypKPOXlu4JNZVtqJoPADBIE182184NSfPwHXdi0TUP+rcL0QZ6KBM1Xzai3pPaULoAcP0RUTa5\nGcGUcZ1W8gAy0U0ZV/lj3BMKmDKU5q53c8SgbnkNj2JQvRg7qqjBo9nhS/OIvYbgp3WG7BG08xyc\nxvBjXF/AjYbJgWBvS88IVHbfuTQTvzlX7OmtHS5WZN1GpUByJeAi2YrqsGwYQe54/ZPQhnecgXPL\nfwSDN9R02hMKZTb0Gz5cjdnOQGXb4gqMgxRUvofcLu35Dd5u8fk5eSOO2QITVcN9ivLG2sQa9XG1\nmdtMOO9ovu7BdB82Gn2vKVqYEoiCtYWXAAAynPqX2aMABtl4fH+XmglI/YW4dL+Ac0p7HlqWNyhN\nBSGrhqlIcX2ThleClPVEgfY0eq3XmwI42DwVtc6hoBSwDF6Lp7L+jAMHfouTx+/EP+vjWyHECxpl\n+AnelAOPQTtPJcbJtiJXBj/e81cYeIor9kZ4ESIU9UlBCRyWwJSc/xZZ8JezxQq/w0ywebAJ+3MN\n+GSkuqtpmSV4v1KeYbO1eyIF7V6MqQ0oiQnSeAfP659zoofJx5SBG3/WEVwZizKPr6rABSeVE7K8\nMPvnV9QXi2MBtd3KXn34b1F/xR7tJ90VRQ8uVpgSkKAeHo0v7EdXiXLiyPMTzHh1nPIjMMijq0So\nqSkBfv55B0bIpsUFBonVX56frRVw81ou/mMCEd5ACoCjAgw01FbvUyA1nSNV89bahwAG5es0qZrC\n6KXo+F6gReyhgHnQZjwwPL6VQCIIF9pYjc50L46O0RcFUu6FFG5W8oVHeu4d8MsZy+AtCExCMror\nsNO7CLuGB2Z0G8O8x6fLZym21cJynM4tUM275JVO/PTjypD9R/LUF1WfVC3OoRlbB4ACFo+4whih\niauqHEIuysdeHXN++Z3rSh+qmsZgmYkUhmoLy4BTAs5j6iGDXVWdcFfa4K5Qdr9eHW/B8xOVFZaB\n8rq7dY6wUXUNYSvmeMZ/pwBMZGJExWKgPBZXq7klhhfmj9t/r0gzopnisTd53L4eODX8Olh6HtMt\nKeitnAME0ph5K86tvVx2JFCWE1bUE+Vgo/+cYRYs5yKIMNQ2DoMc6uVqYXKK/uk7swPr+RoFAJQi\nzRX5QQ2aLFd0ooCfnnNR2DzvP67PE2z2CQEeYxquqngO88p/iJ8UP44bDt6PxTufweg2/RFVHdQK\nE+Ext6ASt40rAQdtkxkVbKjICh+uQf4sd1gD9cFzeTm4amTg/u86748heTnTRJjS58GYdrGuUOpK\nEm8qHXBKoPm/ytgttq+r4Kq0gRCCB0f/C5uyxQHQBgsJ6QH4kLeUpx/XXvSDB3DZd7JC9tszhgEA\nCJeJOVXf08x/pPpC2LLGaB6PTOAFaiqYjmzjffjzqgtUU5o8FEYv8P2mjZjWqexat+ZORO3wi4NK\nDOW0IxAKIK8rDQLhUNh9LtqOXo15Tu0YRBOak+nNE5naQd1oz/BAS/GZMtXXE8hyqy9p2YRC3EWU\nC7DIV9ciTfpWjfvplwLSnAGZ5h0QcMXxO3XlVUB9LpMA1+ICV98NN6W4ak8HHvioHSNbNFZmk0gf\npN8cGo5JjefhovKFIfs9JvGbmdIoji0N7hIjCV99dDE4r2iuEQgHntN+p/abzsGCYSdwQWEVCq0O\nZBiU7/Sck4GZ4BSAm9jCqvwVpwLv6BGZeezVrBx4I1TsudLsYUIs4GiUraEkDJcNGCXgbXfBviM0\nBIDty0o0vbAf1MPjUMZJLBnxXwDAzRdmhPQAfBio4G9Q//iLj3BWWehCMvmdPFpUPE4AYP85AXew\nKQ2hg6g+tmb/BsUzH9I8Hg1Oq+jDbIR6t/2tp3j8fpn4e5r9uOJYw5DAwHK4d/JA+2QxDQUuql2C\no5NuBSViV8gY5gtbcOL2CNInl6/Ob8RH82o1zUEG01j/b7NT/X4CARPaq2JUdAUmvwcVhSlnb8hx\nfxlBIgyWmd/vXSOA1xEn6UE8GySXpAQIhbm4Geb9rXjE6sLEWrGs4a3hByNXZiknnH2drj2mY8sa\nrVlZX1p2K85quDhkP1ExR/qYdlCcYLjvnPvwzSXPaqbjwCPHpO15ZhKCvk2eoHTwWfBN6a22jsD+\n7LPRbswOycs7A0rg1nWjI9bTY1oCD21eY+iEwYrRl6Mlb7Jq3oSFVpExYJRA838Pof3jsjDHlT0E\nu0n90XqEEXDz0xX78kMGoYB713ZgR2fkD9TCp+OeHc+hwC7a2i8q/wE2zl8aMV+0VI/UXq3Ld6UZ\nToKOLCO22ZXBvYze6AanfOXVD50Dj0V9DKG3YvFmYFzLOeAEgy5zULpD/fpGNgfMH8FvkpE34Y7i\nv0tbfFQferB5SCCRzSy1RIzYyXlbAeqFb8WAjuaAK6Xg4JHjECV1mdR7wD42ZSgr/fuGFPp7F3LM\n3jQUz3wYh8/U9p9Xg+hoLbfnho/zf6xDWzkHYzdmYUgTwZmNh9BiERtLHw37HjYPuggrRiknww1r\n64R790T/tkGI3FQPOGQQ1VZUedH1ioZhshkwSkBwxKcL2+T+B5zCbP8ydwAUv2OlqFVcbOSsBtED\nqTTKmZhqyOVyWdVNFQDQwQVeg0+GZOGfk8XWe/2Q2XCZI4RGiIAjV1Q+hHOBGDph7kpG2yZ2stx5\nuPL4nZhZc2WPuuKTaj3Ia5fcRWXVfJptLYwh0Vj135OfrVE2LHiNdRqCcQrAoNpfIrP1dYxvyMeV\nR+9Ge9cInENOYaihCRd3BL6Pkc3hl4dUX2499Bp84yuteVNwdOItyHKqv4PKcRh9SiCY+iGz0ZE1\n1r89ol456bPV0I0yTn0VMY4KsHrE63cbTJjQ0Ip31j4aKqdAcW5VI+YEeRdF9B/w6wAt/zxtzAlc\n1czHgFECkb5o+Yt9KO0kCqt+DIOnHo+9+DSu3hpwm2ywWGDwejC7NDDBI5wSIG36JkNNrb9Y8R3V\nDQvY7juyx2HX7N+jJW+KSs7ocFny/aeZU3EtbtnzB/x4eMCj4aQUlpjnzDgy5Q6UnKsMo6ynXlRL\nY8wqRebEv6OxZJIoRxwUZyLJ6x4Ks8qkt2iw+h994MFmtr+D4AozGi+ksY3KbUFn2OyW4wswuHM0\nzN37cP3eaRjXdjamtN+C2llnIH3UGzClBYKZzSiLtMa0mryh+3zXJRjMqB1+ES49qd6wWbwz2KwT\nfUPhyJQ7UDIzMA/lvMPHcP2EHBzdk4fSd4ejufIgvjYfUs1b2N2Bqa0VAIDqQdmYWN+GXHfo3Af/\nKmAeZcVsjFhPK5Waw1qAamlC45HJPw6fNQnfyQBSAtp4ze3ozgzEHdmYLU4GMzkP4aL9xXjwrZf8\nx26+cAiK9nyuyB/ulZ21ZqcuGSx8Gka1q9sFS2Y8gK6M4Th4VqhtWY48lrwWTYXTUTdUHIeYXrcA\nOS7lym01LtEU5FNszrQCVI8KBMUz8TwKeIK5zujc3YJf5Xj0nhKJr2fWU3hwaISoZAkv2ob1eR3p\nQ68S6DxwM244dD9mV82X7SVoyMpDU1oTovJ1V0yk1b6Wu79QVn7iYLj2eTIdFBPbb0HNiEu0z62S\nvyVf3WtoeCtAj4umq5F79YXlDu/1J16rLyDdd4aewD15u7B8afiGHlH8Itg7/Zc4MWEhvAYr6oeq\nhSBPLgNHCYR5tuUXP4CKuYHunxG+bnzoB2YzcTC6g2zksgqN4ynyZGMBT2x7UbeIlhhmUVIQ2DOG\n49SYq1E8U7mimcCp23Zt2doeRze94sTDK7UrFgvvwW02Iy5ymmDQ+P5VbzUlmNA8A62NDyLD1TMT\nU1+hy3UaK+mNqCUjYXDXoOD0L0LSUOk/LeZqzO4W8wY8Z/RyXnVQSA1CMLrtTExsnqWeQfPMSn50\ndBd+uPf3MMiCB14YNBVAPhu7oCt0LOXWb9JRN+xCVI5Rj66rxf5p96ru/+dryvfYaIzcKx/XFhr2\nod4yGG1G2TtLCZ6852+YYmhC1abIYw81I+YBAAzmSRDAgTdYpWIiV7/JMJ72ztkLSYYavLDu4ADp\nveTTJdthGC+FYDLa3oHRU42LKu/FjPLY4uEYhQjdcJXW84kJC1Ezcr5q8m0X/EN1v9GrlO+Sg+kA\nRI+Q0W2iu6JXwyzMUQFGSmOaxzap8TwAQF73MHRZIse76etk2NZgY8cEIA/Ibfynf3+o+Uf7U59+\nSvtYU6F2tFE95DvEYHBn1Yd66EQDJxgw5eBouGkGcp2FaMkQvfBC3hHZjqkNoUs6ktx/huyLFZ4z\nwyAoYwj954If4AdvfhQ239n1ofMFVg7/AQDgl2UBh40/lL+IjnIxrlSkOUMdOeP9v515F8BnHtLX\nG2bmoKSR+3ZAH9oLjoo/gpUApfj5qhXIbFXGz6EA0jvXwuw8iLENsQ9AG/nwSkCtOqgdpu1iqgUn\nKGU80/647rzXni71v5a+f01U/EPQfjlntMxEvmNYVHL2BzjeN1U88C4Fr1kQ7cxkHx5jmLUBdHLx\nYTdGt+ufhAWEmrMuPnUj3FRNFhK0RTCyObFt225rPjbOX4pvLnkGRybfhk0XPwOv1PIurI7OSykY\neWV/b9U7sNeJ5ZbM0L88bHf+d+A1iTGh7JmR11lOUCBhBQNGCYS7l8YaorjZW3GFlCfw4Ro8dVi4\n8XPcuGEtBlcoF+w+wxGYFh98nqMTf6hbRo6G98qIX6sg8ofYnjNBdX/9sLkQgvy+f9WRhvs6AoOo\nt3aqm6EyPPpjtPcLdNV3kRO15E1BV3rsa/ISXjuUxQXH9K2sJSdYaY1uCzgsUAC5jiHIU1H4Q+xj\nMbq1MGR/T9h08b8U2y2DAtFM64eeD8Fghj0jdEZ1S/6ZcJlD5wCE4/MJgdAS9tNWuDrE78CWPU4r\nS1j2BbmF1g+ZHdKrMNH4eDWGI2VKgBCS3GmiYerPwf8wQe7u22kQNbWla4d/39RDD+LeVStU899a\n9xkAwMibkdelHAzzzbTVQ6QQAfHsGkbqwuqJR2/ODdwfDgQ/N3wEQ1o5CoVIymwgERonigTd+0gD\nxfvP+QV2nfen0AM6X4ec+qf0JdSNUl4hSCn8cP/vcPP+36rmbM+dqLrf4tG7QpnyooWgIIlq8xV8\nyGdb7592b4jnWyRq3AEvOj4BkW+PTLkDp8b+D06M/75/nYZMr77Z5D0hJUqAELIAgP518+KEzd2C\nbm/oyk7cqPPxy8Xyiku8LUZvYIZxWpgG0zinaEe84lgMU/ijIYr3Lny1QnB04i09FAawDvkCVtk3\n95DpfeQM2qAjZ++eKxBfdFxrmOcajztl4hO1jKeELKDcjKrz5Ad0F/GTYv0myVh5/Rke3dZ8/3wC\nZ1r4XsnDu99UbMu9/IutiQmAWDH2u6getQDHJv4QO877EzzC+MiZekhKlACldD2ABL+ZoVTYDyHE\nRxsUb826EW1Z4gt79xc81vz2PYxuVKaTN3bacs/AxvlLcWrMVYo0Q+w9ifMTedJJdLHItdPyBhPq\nhocOzEXLmLapuMcWMAN5EGrvjla2/oeyJzD99GU4Q+aJE/l29VxDmOMcuz+45yLfntAe8D5KhBuw\nO4IJh0SIurhjzmOK+QThmH96n2J7fEegUTjim+jWVo6WjuwidKcPQWfWDxJ6HmAAjQlofUz14PH+\n8ICZxxe7/alXlIPCclPN3um/AgCcGicuH8gTE3649/ew8D17MWL5ZLTyuM2hget8VI9aEMOZQllw\n4naYZBL8pSAfJOK4hkhu9+C4yNCbISBipUQpOEH0vppTdR0urAgEoDMJZmQ7B2mWEa4idZszNY/J\nuXN3/LxuAGBa3Xz/b7M3Ddku/SEaekrZ+OsjDIhHN9vYbdJ3DwHgia0vRFV2T3BZfesVJ77XPGCU\ngOAQZwAG39JWYztM2YdDMwTBUXHmbmOQW57XYMVb3ArkOuNQqUWKHa3iV6yVY9sFie9eB7MuIx3n\nk9BgeqFQ/HDf7xMuT28hrXNN2ONj26JfmtFlzvY3QpLNuLZp/t/h5ykkpsfXHSYEilpPIFywhuIZ\nD8JpyYNADKqprinfhmc3PYerKvRN+uyL9Mp5AoSQRYAYenH06Ogmw6hh37IVfEcH1F7K4EE6TZmo\nOHM3mPZcdS+aWEi1kaQzU5wokWWviSk/BbA5G4jO4bB/Y+neDUv37h6UoP5WuHsY06kvUzxLfdBZ\nJLqWszOtANvn/g0AMOn4OxhRu1Vx/N4Dq8Vj+5QzjgXCwWtMh9kTOsbY1+iVPQFK6XJK6SxK6azC\nwp67lFX/9KcQqIDSjh2K/XUeAU6PPvNFjK7c0aHjHBvnL0WbzH0znopj96xHsHvWIzHndyN89MmB\nyMj2SbjwlGjXvfZw6IzhSJyYcGO8RUoaqQgNUjX6ipjzNhTO1J326KRbsfXCJbpCtfSMfjpZjBCy\nEMAs6d+kUO+uQZohC38tegXXT/olAODbLh7VHfom3HBappo4Lv81p0xfr6KnM0XViNZnWo27dz2J\ndHfkcgbSpLFrSn+Os+vFWDgjbOHDH6txekTPZvMONBxh5lN4jBEGyKOob5sKxHDywXNm+iKp8g5a\nRSnNo5SuSsb5jCNmAeYMXDD4OuzPOA4X58EJa1VIuqkV4qCSQDi4zDm45GBgkCkZPQE+bXrkRAC8\nxp5Ft1QjHmMIBBxuK3ksYroLKr/f43P1DeLbipOHSu4bpNrAqWT73L9HThQGCuD08IvAc2b/rHum\nBPoI1pl3oZEYcNhIMNRWhHEt5+C+caEeE4++I1b6x8+4Cdsu+Afu+Txg3uA0nA6ijxDec+qHzoHT\nMsBm3/ZBplTFd2HlkpkPonrkpaAA6npB9MlIHJp6d6pF8FM18lLwwRPLoqQ1/0wcm3gLTo6/AZwg\nxo8Ot1hTXEiCSa1XDgzHGzdtx7KMLpSPWo1fHBBNQaWDt2umbxl0FgCxxW3knQCSNCYQBafGXo0p\nx95OtRiMMNywA9jvc6SJ0/tzYsJCZNtOaQYN7E3YssemWgQ/JyfosDyHeUYUBJXSeIPblAGOikqg\ncsyV8RAvpfT7nkB1dTUMGb/HGsvvYMwIzE+b0hhYtOWeHc9heIfMXivZ+eWhXqdVaMwBiOOYQDTQ\nBD46hzV5ft/9GV/gMgBIc8WvRcdrhAhn9JAwj6hh8CzlkpYp+u4TQb9XAq2trRiN0PCwwYxvCdjj\nfcvbySvaHHPocnMAUCVbcCWZdGaPxcb5S3vcxVVj55y/xL3MgcjhqXf5f/9wc/zK9UQxwYkRH+Tj\ncC2DzkJ3ev+Z7NjvlYDRaNQVbuHyvYHfxBdCWtYT8BrVewJt+T1f8jEWujIGjodNf8BCx8atLLly\nYSQH+difYOhfPbF+rwQAfTF3aqVRfyAw61DPyj8Mhi6yf5VqCRgxUjzjARw74+ZUi5Ew+n0tRw6t\nAq+zMt9x/qOgAIh/5Z9+f3sYDIYMCgKBKCeQ2rLHqYZsSQ79dLJYMuk6cAg80Tcr2G3JRf2Q8/xj\nAt/O/j08xjTYsnoeuoLBYKSG8rH/ozvtgbMWY9O8f8NlzoEjQqjp/kK/dxH10GGgPNWtUF2WPMXC\nFE5LfsgC7gwGo++gf9yOoKVADObnW5970vF3EiSVXtg8gR7TYLJjzrgh+FmjEYA3YnqBM6ZkAhiD\nweh9HIvD4ku9nX5vDirOasS0uvmg5U9jUNeIiOkFzqicNMLGBRgMRspg6wn0CMHtRnotxZUHxCXa\nbjzwUMQ8lCh7ArvDhq1lMBiMxKFzjaYe0a+VQMM/HscNa8thjmJR6O60Qb1qujuDwUgO3Wm9cKZ8\nEmLw9WslYFu3Pqrl4wCgueCcBEnDYDB6My5LXuRESYZDSxLO0Y85OvQ72HrhEnhNiV0UmsFgMBKB\nhduW8HP0ayVQnyuGcJQH8mIwGIy+gkdI/KBAv1YCvLTgA3P5ZDAYfRHKvIN6CBGnQTh7oa2PwWAw\nIkFIfBcmUqN/KwEJr0nfOsIMBoPRu2A9AQaDwRiwJMOU3c+VABsLYDAYfRchCevaxqQECCHZ8RYk\n3vB85DhBDAaD0ZtpMyR+FTldAeQIId8BkOPbBDALwCOxnpQQshBAO4AZlNInYi0nHF0N9WA9AQaD\n0ZehvWjGcCuA8wCUS3+tsZ6QEDIDACil6wG0+7bjTVNlKZgSYDAYfZvEewfp6glQSvcCkK3Cq/gd\nLTcDWCf9LgewAMCeHpSnysatH4ByN8W7WAaDwUgeSegJRFQChJAXITapSwCsp5RW9PCcuVD2JAap\nnHMRgEUAMHp0bKt6OU+YwfXzYW8Gg9HP6Q3zBCil91BKfwbgFIAbCSG7CSGPJ1IoSulySuksSums\nwsLYlnjLScuNs1QMBoORXIQkWLQjKgFCyHRCyGWU0g2U0icB/BbAckLI3TGesx1AvvQ7F0hMmLyr\nf/LjRBTLYDAYScPtTLw5Q8+YwGwAIITcBCAPoj2fQuwZxMJ7EL2LAKAIwPoYywlL/uRRAKoTUTSD\nwWAkBZqEeQJ6lMB6ALmU0pd8OwghPwBQFssJKaV7CCGzCCELALRTSuM+KAwAxGJJRLEMBoORRHqB\nEqCUhrT4KaUf9OSklNLlPcmvB0KSMKzOYDAYCSQZtRjzn2EwGIxeisBiB/WM8fS9VIvAYDAYsdNb\nYwf1FYxkAoY07E61GAwGgxETLIpoDzEAGFP1VarFYDAYfYRz9z6TahGC6AWTxfoymU4nCOVTLQaD\nwegj9LqlaJPg4NKvlcCeMwSkOxow4vQ3qRaFwWD0AQhNfMs7GjjWE+gZHqPoYhWrSeic/f8XX4EY\nDAYjCkw08eui9GslsCZvCwCA0Ni6eFZXWzzFYTAYvRxKelmV2IvWE+iT1FgaepQ/VuXBYDD6Huft\n/jtoUqZn6YckQZ5+rUgAFP8AACAASURBVAQCapRV5gwGIzxmt63X9QSYEugh1+Y/ByD2Fj1THQzG\nAKOXKYFk2IN62xXHlQxuCKzn/xz/uKlfXyaDwYgDhAq9sCeQeHrXFceZDIsRbw6bgvJhseXvXdZB\nBoORSAgV2JhAf+OeeeNReFEaqMyw8+aMP2PjhDejLms0m3nMYPRzaFImZ0UD6wn0EKvJgHtm5fi3\nzaQTdkv0bp9pjkZYXO3xFI3BYPQyCOWR31qK4bVbMap6Q6rFkWA9gbjg61JxEPC3JvXVLOfu/JPK\nXtnQcC+zFTIGLhNOrkq1CP0SQgVwlMfk4++oNvoKm/ZiVskTSZUpGbXOgKjZCBUvkxCK48Jw1TRp\nTlE5mGUP38C7AACZ9hrQgXGrGH2AzK5anP/tY6kWo98h9yLkBE/I8bMPv4zszspkigTKJovFgczB\n6DbZcWTwdlyT9xh4FZvfoJbDAICNox/Cgby/+vdb3DbM2PM0zjy6ArSX2QoZA5sMR32qReh3yIPH\nDa/bjvzWIymURkRg6wnEgczBAKHYPP49DDaVQwiysXVYm/DhtGW492cGHB/hAiXKFkCurRwGwa3p\nOnbppnsTJjqj79OYUYFXZz+MFTMexaCWg6kWh6ETjvKYfmAp5uz6Cwqa9qVMjkLBkPBz6Flovl/B\ny5TA8YLd2HjGm5APvhAAF27/XUg+LSXQG/oHOe0n0ZE7ocflWLubYPQ6Yc8aFQepGADw0Vn/hsDx\ncBudiN/b0hveuoFBencjzjryCgTOlJLzj8w6nfBzpKwnQAiZkczzjadnAACGaFyyURD1IaGAxd0B\ni7tDcXxE7RbktZb6TUepZHjtVgyv3erfHlf5eVzKLWg5DJKE0LUDCYELrGfR23zQE4WbtKZahLjC\nUQFGaXww2Rj6ayhpQsgCACuTdb6Dtx+Ec/CPxHPT8f55A0Sw+tPMaZwTtgyzpwuV6Uth8nQCAAqa\n96OwaW+CJNbG4mzF5OPvYPLxdxJ0hsRWVFOOrkho+b0Z3miNnEiF4bVbkdlZHWdpEkeXxYWi8k9S\nLUZYTG5bj8uYUvoGpu//dxykSS0pUQKU0vUAypN5zuHDJ6DG+SFcUo8ACHgNiUJFLuP9iwPpC5sP\n4OzDL8dTRF3M3fVoyL74DR3RqFurHZYmTMh7BVfkPKkrfUHzwLWLV+f1oIXcpxwTCMZUfQmTuzOq\nXLltx+MuyfT9/8bZB5eF7B9XsbbHZQ9r2JXw+UPJ6D32/4FhiefPngbAjHGuEf59pihvsNeY+g8x\nseGtoyubtL+NlecswYisr3BG2nacmfZl3M/RX3BZz8HKWbF1fvtaSHMi/Rm9jqjyZXbVIMMeXxt4\nftsxDGoNmHB9ZtTgZSTPirVBl+BnM2BnDBNCFhFCigkhxU1NTXEp02oQL/UcxyQsrl8IALAoThq5\njMH5ahPKkr04deClO//bv2Lujj/GXFKWrUKxTSiianES1z54DR7/rZuXvRwtXCQbZt+q0OKFfdDd\n8BhcqM06GUPuwD3LtNcgt/1E/ARLCLFVXdG+f3Iy7TWq+5uzANV3LqjyjvWeJqqSvnD773Dh9keS\n8rUkRAlIlXjw3wK9+SmlyymlsyilswoLC+MmV96tkwEAhTQTAOCwBLpyNOh2HxpN0JKT698+ecd4\nXFw3Wr3cjlg+7NiQv3QZjgakuVoR66s4tfS1oD0UBq9Td34a9IsjAtq58K/t/Xcn3uWtN9Kzj5nC\nLNmwpx55FRwVB5tNHnuP5ep9xPYuy3365e9wcw6wYbr4O6ejTDbfh8LqVI8eEB2JqaZNni5Y3La+\nu7KYVIkH/61PxLmiwTQoDQAw2MRhboYBrjztYYmmXGDhP1/wb/MWA6a185rp+wpzdv3Z/zu9uwmT\nj70lO0px1pFXVWdLqkEhVuguqn/AszVLd9J+RuxfM6EUU4+8hslHVyDDEVgtb+7O0PGhVPHtqDVx\nKCW4KRaecac+U91/8bYH/b8FAoBSzCpZgnMOPA/fcyCUYuaepxXn1uJUdoxhiGPA2u2zfIjyjHXH\nxxISjlR5By0EMEv6NyUMNnH4Zf0tmsej1e87x8bHU8jN2ZBmPxRdpii60OndQS+VrFvsc4+dt/nX\nuspqoOfA2XA1FnY+r/v8NAkzIPsfAkzeLgyv36nYa+T199oSzdHBctliU3gnhwFW+54ocqifh6MB\nk2T5UDFyWHZnFYy8UzHQanF3+HsNWq/lluHT0GbRbrnEe/2BaYeWYXbx4/7eXq63K67lq5Eq76BV\nlNI8SmlyI2EFVZZp1Iollb8CAAxvT1PNwktZnAYL9jq8gQNBNsUNs2bicP5qzNyjz0tGi1fP/2OU\nH0Ls1Ocqt7vNkussqD9uUjjemngNPK2XQEDAxFNnDD8mEF1brz8htUBjqCD7gt50mG1YOU0MrhZr\nn6d0FME/rlsHL9HuiWZ2VmkcUT/rovG1QcmCl5wN/leJQAiemBWmsRhnJWDwupAlG98QkhC4slcO\nDCcKtQbzJCEd7z/O46YvdgEAdk4m2D+WYOVF4q3xBXD6e9EidAuBAaQMR52iHMGQi46cyci29TzA\nVLI++rfnKx//oObtgQ0dXg88F2rf32HxYuW0JbpliLc3SO+FBP0bDX1ACwDwGMRWtZfzhhyTmyHf\nn/ZPjRIoQKg0u1qd80oC75ae4Go5oKrfU2hW9XtMQdBhycIH4y9RP07iO8YV7LXkRHpcy1djwIWN\nCIY3tQOgIAYzAKDbQvD3WwIPVuCMgOCFzZQFwIVh9TsxqPWIOGjjSyNpF4/RiL7ywfrgBPGDHZa2\nDRZXo39/XvtxNBdM013Obe6HUUcHAQRoyagNk1J5f4oq1uDgWYuikrmv4TX1LAxHvFxEbVYe2c7E\nDczbLC34dtQanCgoxo1rJXu8hNHb7f/dml6nkhuymlnv9RKN3zryUH0zcX0t8demXo3ODA63HNkC\ng9eJLLs4eS/+y1Eqr92bhHAVA6onoEbHmG2wXetF2tz7VI/7Wru+D5EACgUAwO9xsHX6bLzyvZsS\nJ6wO0h31mu5yamR0iRV2hlEZlXLqkVdx/rePaayzEMpm4RycoCP1Cwrg6/FvR5W+r9I29LEerkcR\nn9ABq+fmRk4Uhn3DIiy0QoA9I79Cp7UVz32PQ3OOvGLWrth3ju757GJ5r+CNywL3+j/lFwWl85nl\nlPLIFe1HRRfjhbOvBxBo4Hk5I8rzhmLLxJGYt/V+zNj3LADA6hQnACbKbXfdkKsSUq6cAa8EbMN3\noOsKI7iMUFfUGxrW4Yu58wAAXoMR52eqV1q+F0XgOLz13e/793809TkMa9yqmieY3SPXYu1kcWYj\nH+VTkZugON6D2cWP68p3YjhBVtdpHMp9Amdkr1J0mw2CBxmOev86C9GS3qY1cUy8V0a4cGzwLmw5\nM/UT8NRwGmIfkFt1dmBcqHXoPwCZySCWqx1bqWcSnjY8EXt70b5XwUQzqL9tKqd9vpCbIO6IfrxI\n/W5WDgaIwMPsOIBurynIHOTrCSjz+JTDkSsLYRvDI9csmqTyPMqVCN0mpfHE7LHjsk33YnjtNl0S\nD24oDns8uNe3e9TFusrtCQNKCaj1qkfs+TXGbft7yP6PN16JcztL8Z+bbsfVz7wKr9GIoeZj6uWq\ntPIODdmC+uxyRJw7JVEy6ktU5Ym+zjwXXVVh8nZhdnHAzkoA5LZHnoLfkkNw0yNGbJ1yGhwJ2HG7\njeG7oFusHrybEX7g+KX5+lwGd07pnUrgtfNCI8nqpTmzBuVTS/H6pVngzT5TUGzXmdN+ssdeQFTW\nk6A96FVwNHZTkjHM/JPgO2MQ9FmpqcLcFHgfz2w7E5duvg9Ta5eC8F4cGBdIGPAOEqRzB00au+40\nCrxtmMA1B6UPZeyCJjj1W0xx2aZ7cVbpf/3b2bZTyG0/AY53a+bps5PFei0qWiCz+RyYnKG9AJN0\nawSOQ7dV3XPIhxA04vzYTXnYOk5yfIrh2/fGxWwrnrio/GNdqSkBuiR3/8rLR4RNu9PqRbUpfGXS\nma5+4V7OjeI0G24Y9Iguufoq0894BlWD5cpUvB8bJqxA6eDteHFCapaIfGf631GWH3Bn7iAC6rNO\n4as0Nw7nh3dNzvdSpHOB+Edfj38rTGrAZRTDRnR4/+V3eQzmm6J3/bW5r6dRlVsa+UJkGL0OjK7+\nCsNrtwAACpz5AICRXi8IgO1ncvjLLeL3nDnkTADiZCxNvLy/RR78bctJK/CADhV/mz3RB6Sbtecp\nzNj3LLJtp2R7g+qoKBuEsTDAlID+pETDhjv+moaQfTT4QRGCodZfwZWmHi07r+1o2HMfUzGtTz38\nCubomhxEpf+LMuV06I/TVzivDcuuW4Dv52yPnFgHb874c+hOAnyTaUOh6VTosX5Ed5vZ//uf9Ff+\n353WVnwz/j24Dfpa5MOC5gbEQsbM91A2xIj6PCNsac1YN+k1/7HlOS7Y05pwbs5ODDYpTR/BvYar\nu5z4waDf+rfLB+0Pe95vit7F6ezj8FJxENXOf4gt45Txk0qH7JC5zYrv7tcTwiuXScffkUyeYr5R\n1RtgELyYfPxdXLbpXv937vsGZh3NxX2WZky+uRZTc7Jx1qGXkO/7BlXqBM7tgaVR9FqTryg43XYA\nAOCVtQl9PYn8tmNhVyKTR1U1eh0YVb3Rv3324Zc0811b2LNxHD0MLCUgwzw2O+xx09BxIV1BCgJz\nZmiLhg9SGFMqT+Fo/jTYCn8Nta7A5GPKsYXXZv1esV02LDSP0duNdGdzWJkjMaX0dQDAWYdewgzF\nbEmRc03d+PCKH/foHHLsljZ8NPU5rB8dFLFRblZIxiKqKaD2y4BH0ChUh5oVKIcuU/iwD01mG9pN\nO3osy/CCY0ib9xZ4g/q9/njyHKRVHoO5UelQ4CAE87Jf9G8L1IBsQxNMRPL0idCoas2ow6dTl4Kj\not9/N77G4aHaY2S+MQGB4/3jGHImHRLjZI2o3Sr50gdm/8rxVcxlZAwA4OzybFzgdIISgCMEg5v3\nqXbQWxbx/svivOL5fT2BC1u2wyqIJqe2GWaM+Y74LRLZgMOglkBP6tyM1YqyK9ICDb9Ltj6IM8o+\n8G+bvN2wSAPMwYvXXJqf+Cn2A0sJSC+LaXgGTEMzAABpZw0KSfbsqYc0ewKqxRIOP10ti+8veOH7\nQrzWyA/RGaEyACKvKRvue5xVsgRnnFyFYQ3fAgAGN+9Drk29hxCs0HpKfXY5jg1Sho+mkhKY3+WA\noY+51AbTNmgPOnIDH7/B2o6FdenI6g4/rkIFE14/P3zkSurNwF9u7bltkHA8ghsjndbAtqMgG26B\nh6VV2cttDuqtCP7qwucpFx8F7uVEm7jXoG0bBwCTJ7pQ3NQ/4CxywhBq1j3nwFIMrdsBo7cb7rO9\nvox+RaI2JkDNBOmFoqxaXwsHpRJzWAPvw7ZHrghJP1hawjJ4kiZJQgjxgaUEfBCC9P/f3nnHx1Wc\ne/8352zvu+q9y7Ily7Lk3otsbFyIwabGBhKQDdxQbohpLyXvJSFAkpuE5IaYe5PcdFoCCWnEGDAh\nECxMCaEFyzbGNi6yellpd+f+cc7uOWf3nG1aFWvn+/mAd08dzc7MM/PMU+qFfQDHqhIUfm0xCr8m\n7cJPGSxFPLqjvQ1zAAABjmDpfvVle1dx9J2jP9Tsivmexv3fgMnbEfM6IHLdQUDh6PkYRZ88H/U+\nCqB64TPwk+ibcqdUHIGunRErDG8A57nvxFPTvyq8iwod4qGTp/EFY2LhhkcDZfykxPDp+mEzSINX\n5YadKBlUq0Ppl/GeXoah9mUIqNSlnD6OKtQRQW69IjHBQGTZzbqyvojujGvx/bVO/OcGJ7YWeQA9\nh/+5+Eb890U3KO572jKkGASDwlvaTCU4af0YJvPIckS8k/sSXiv6Pd7Kk9pov17IRfCrhkijjZhE\ndF2Cnx1swH32yACQzp5DmPbBz5T9hgJnrILAeD+zUHyChkcxJXipuhAvV0XfR5Nz0LIq4ljlgV9j\nwSt3wDAOQQHTUwgAMJY7Ufi1xdDnWFXP+2nkCiGc+7dtBwB8WFyuOE5BQmZpVMWrVt5KP3bHTldJ\n4nBsCV4TiqAYNng8eAGHV2oI7tyqPYB066KvWpbuvRE/sUe69DuN0qbYtmmRGc9Ke46j0PgOTlvF\n1YxcHTQBYiIkEjkVAAY4eeJxivKTUp30HjWj44Cgatzx0/vxHRp0hAvOSvUYOrUGoAZ4LXOivuf3\nFnULrLY8gtu3xS8ICJGEwJC5AV7rfHgNHLYfHsZVRwRBNGiyoNPpUdznNQwon3Mmcib+6/pvIDP3\nu9HfL/6rpfkLcH7sL3xWkYrz6bpv4/mKn6PTfFL9JkARETT0Lo6GBmzOL3nbnhi0o0+1L8qfJ5W4\n22LEH+rL8S9PftR7XjpVio1T30WX2Qg/LwWn/3TAFv700KfPzF4Q8RwCCpNKghq2Ekg1CYw3fmSj\n26eMGWIOKAeLfrMF133py7i75UZEEuVlqqekH9vHD4ediS0EbH1HUXHgN6gVTdB0w8IMmwv4cOsV\nPPZVc/jPTTw+KFRvVPE0NT4wrPACVbt3aWGkDjt4j09s0Dc3fk927/gLgXiErByKIcW397ukVeCB\n35cgMCQMNva+HmQgzM9CVln9jo2KUy+YpN/98foHMKBiGfK+aDTwUQHBhbfy+NOUR1CwMMYgzPlV\na7m6Rx71KXKQNtVKe1cmegb6w8Jmfo5eMD8OEEmHHvX9wQlRAuNZr7EDH2S/pjgWz/3e1fZQgXi/\nMuSCLjj5sGaq3pv/miAQQ82BEFV1UIZRsCx6qTsPQwEddCQAEIKDmdIm7uE+d8R9fQZhBTy71APr\nunNVy2CccZnyABMCo4RGvU6xVYPIWloASmlu9Q/gGHeN4ti75dWqJqTBp+iMQhXHCs/MO5aFBsQ2\nz1uYduJRVH/4KwCAeSD2hjABUHJkd8ibedr7P0XVvx6Hvecw2lQ2msPZ0BB9IAGAh9ZfFvMaNZb+\nQ+hVK/oEwTQ1Y0wzi8ZELoiOON/DMUcs788RCC75rWH7L/tMknqo3aoeU+nei+WrKIJDnndgy1e3\n0vHxwkye0w/CjIGI89H+ik8dSvWjjg7CNSzcscb1AJ6c/o2YOvxQMUPWOqklmLlMHpLiKddazYlF\nPydc/8G0JtXz2W/7sHLvaagNEMoAFeLeYjCKgHiS9O+Ds+sAACDgjwwB/beqArRtPAcAUPyNSMMM\nEA6EV+4l6QsT88JPhrSKHURjxGB5/PwncOS2vdL1YeezhjpABypjv4hIMUeMdh4PNpiwZn83yk8G\nT8foDoSi/Mxf0H/CiELR9jlR9L4+FB19QfP8L5cqB6AOfWxTtN8sXAXj3yMFUrS/5zt0ADmv6tFT\npcN97e34U5XmpbD2foI+2+g3+ghk7eL30x6OcqGEj++Hzm9JIGSN6FXO2zA0wwNqj6frKR/+pc/x\nGNJHvjD7g0ug5sZ40vk2fjvlF/gW58c8vIwjL8/AGw3LcMTKqT1eMet8onEv+KGj+F7hbZguWj4a\nxBmygRvEKZsQzfOxo8exl1YC0La7j6UOisVfS5+AczAbtWHHi4/sAe8fRv5xyVuXgsNB00ksUrxZ\nYJAbxqMHhQB0U+J8t1UfFHSyNi4+1hKQou4K+ND0xjfRbs/D38sjA78N63h4PZH97M3MSjScjkxM\n1drUhCnuyBVFqknLlYCWno0QAk6jSp58bweywlzIeSrN3DjZQHI4twDDekmitzv18Boku/FrrhlE\nhznc2icsyfsIp03d9ZIJbKZXub9x4W06/GYBB7tf/pLRUcvwVOgzb+S48crCDDg11LLZ/Buw9Ef6\nYIwFD16Q+OjU6XkLne7odvIKiB497ivRmfP/EMg1g1oTDwx2OEe9nAMfRW40AgD6BR1+36kyDJ4y\nYv3hLiw6FX0zOsiwzg+O9mPGJ8LMxWHIgLnp8xHX6R7zwPJqV+j79IMqqjWNpnXafiCusryT9xJe\nLnsS+yuUfz9H/Sg6+oIifwAAHDcJuvWDGfFvWHebLXCWRq6WznEIz3DKnMFOivr+Q73CAP1CYAYA\nacVj8mongpm76aKIY1+ed2Xo86DjUOgzAWV7AilHMmpIiEsODaFuQFIR2M79FrBtK36IS0PHcttP\nYfpHgi2wXD0U3v7r3nkEfeZhPDn96/jxLCk0gRGx4/cnwpECaUNr6+FLI84v6h+AjhgjjgPAVdO+\nrP5QLTkh29zt7w/zv0igzvuNox8xUY0AR9FtUt+AVO0glILywxg2dqmd1WTQvgIBXbbqufeNyWet\na+1Xv7dL9yIAoPPAWlS+9lU0eJbjhg+9uOcfA3AMU9R0x34npxNWLEbODM6eG3HeN8iHJi+uXorb\nHgsgp0MjLLOsDZzK2YtD2Yk5Jf5vc3zDldYehC/KgDr3vI+gMwnC5OpKaS/iMm43Nh/7NcoGpPhc\nPT7Btf6kVxAGfHDPTnz8abt6+Ofrf/okCqZMjTgur619XqXnMRMCqSZFIXmJwQJq4aGD0Inqj54E\nAXDBnj+qXq8LSO/1zhcGZB8/jEG9tISejVfBic3h1vYzCPgNGAl73HNwMrMB/iihaLcMVYQ+Wwal\n2dQzWcsSehcB4M8UBMrrrecpzlFbvnSRjLZiM/Y1OEPOOH5K0EGie1KPFhQUf5z+TbxvldKJNnYW\nwePbhxUqaht+MFz1QeHt+jG8PY8lXYbfuhMXAouOL8Lmt76kes5E++DnhHJ+8sEvYeJt4AgPHQXW\nH/Nhz55e2OJYFETrMVM/Vp6tPEahllPoNws4PF9PcKBCpgskSHgyFuAI+kxxWEWJfUdeuk8rTqKX\nixzublj1hYgoAA69NCHjCEWeV32FGhR+QSHQZzTglcp8vFuQiasqlJvaRpcXeoP6pEteEcOQrokW\ntyiVpJUQ0GUJEtq2KH6bXi38YuKLJ4/vwkNP/gUAMK1NfUPxVy/LBg0NyW7EEG7JHcT1NAOXdfci\nMDyyBlB1LIB36q7Gi0u+pXmNA0b4dEL+1Mv39ISOb9ujHgclp1vdV4GAYnhmBj5rfD3i3GCwIYf9\nOQdLreh26NFrFTq1zz0FAf8nsHMasebjoOqj5OLxUELh1fdjgJc6e47XDiPthEmlhxDfEPheYRVg\n6naABAKggTOgvvhDeKcCq88Kx7DSeMHPDaLD/RYW0mex8k1hGJx5wIvhQGIrzQHHevj0BSgbVO8r\nVz5TiLt/Hl1wbdvtx+W7/eg3EXx/HY+a3gbM/acbK96bprguc0DdWkeNP53THPMaX8d8AMqVwJ+m\nDMB7ItIi51NrpmoUAJd+AGVWpUns6jzBKirXLPSV4JySl5ngdljNoITAaVDWd9k52m1DHp/ok6JC\n+MT9RK9RS2iklrQSArxVj8KvLQ45iqlhniGdWyjqT8/5dBjG7qCjifDLG/qFpXFGd3Vopv/M4pWq\nzyztp2jpOQIjB9j12tOvHD3FHDGTkFm7iHFR/Gnsn1bhiCRT6ZRo6I3nt0UJMMYRwVQujKGAykAh\nv0wsgrtACLPgjTOCpBrJr/MoqE+5vS0GJNCYi0lX6rymhN504b7nsPDtyLDDFa4O6DXSKv5lJsFz\nM9RL0uV5G6dylKEYfMYuWDkfaj+meOw+HzJ6ORi4+Mpp5YDfzbLAr89FR97XYKLqAxFHSWjwqP2Y\nIq+dYstflb//rH9RrNun/FWmHnYgp8epOGbxW6D3x1YFrjmyBj5zdAOGrtIuHDcJgqt4vnKvJNA9\nPeJ6rdn25ytbcX6x0odnuusELi9/HbM9nyjuDWoEglxTFek4anJFs6QSjQZAQTkO37/gcuyZtxif\nFI2NkURaCYF4yLikBq5NlXCdV4HSforWP/egriuAjqHb0es7F0NUWNJaz0zDDO5RONrnK+7/4wvq\nHn+VhkexxqEHx8W37M9sAIjm8jFx7sobwEqPZGlAAZQf88HijT10/nq+FSc8yiVxFS/b/CLAP6sj\nraYucnthtkUffExuwcpk2iJBbTToH3uDNUooAhHB77WDIrgHh2DoEPYQdEOJqe08/T2w9Ue2kSK+\nGzva1D2vH1nD49WZNeoPJADkwjekEJd+VwrghU8fjVm2V5/tQbNDjzcrYgsM+Szb4gW+vcuPshj7\n+gav+mok3jwCVp+6Y6ec/oJ+rNuyAt/aei9W7tReBUvvjk54G8g09ocW82U2YaXwaukOxTUW3TBw\nV/whLsL3LrJ1/ThVmj8mPgIAEwKq2ObmwTZf6Snop7no9F0LyNxrjCQXjhVFACcMXFeXFyArxqDq\nJ/EJAYP+GIzWntgXxgEFgUdHoQtrVK4+wDIU21HquGcQfpNkwpZNejBfd0hxTUaBpJZ4auOTuDe/\nH/NtfmTbBI9ZxxMyXa6s1ektHbju4RUoqw+qBEa/4dvDkpXTUGx5CQJodsKS/n7oertgf68VXCB+\nz11bf/D3VLNDj95uOH24B2p8fOgSZpPt3qMY8EVPlMOlyEBM6zGr//ysQjiRkQYPXKEUwHdfxqMp\npwk3NlfjB3dcELGpqlbH0fTuj2J91NevzD2Aq6d/iDt3qPjPxPBOjrcMY8G4CAFCSIv4X/wZyScQ\ntgWSgLDNz0fZL+9BxvbtqPj8lZr3BJufX0VlomAU2sNQt6D3f8M/V/EaRZcQO6S7N1JIXfj689CH\nqXU4AnhIn/gsZecqc5bBxgOE6MATwTzVeICD/ZnRy2+bCEGHniBnLMcjRy6qvXeZW5t47PirfvFN\nXPKcEEZZLUY9oRR9pUrLkcHleVGfafRHrhTD/4yf10jBymJ5RkdrempiK/+nP0noedb+fqx+56Dq\nixLJWhZ6fjaH7AbJQuvBG36Pq6ZfpXqtf6AwYSHQieiRhnlC4TDE3l2v3PBF1ePurVvxcP15qufG\nkjEXAoSQZgC7KaW7AJSL388aHM3FgC7MXtlkQvZNN4IzGmGuV25y1XYF4BOmlQAAf4wQEMP8yKyC\n1AgMW/D+Y4/goUAP8QAAHKBJREFUEKQYR0E3lxCE4sanO3D1n4VO1VYexatLpCRTiDVkED1HDQYD\nysrKQIgOdnsdamuVy3HbHyfKwlP2d/fsUVhpSVcQtHuPgxCC5WuUgcd0xsQHLHf3GVhFdYhaUDiO\nUgTMkrqj13UZYJDqS64yKe8ux6aDm6Cnkh69z3YodGX49bbBIeR29kLvT14IhEMBGKdGmjuqsfqT\n1Wj+ROjmcku5VJBRI/12JY4ScBpRcPsP/RsGuOjJodSIqZExqgiKq4RcAcMDL4P6u6Ezq08acu+4\nHb+tWBz6pTpdo587QI3x6JXlAIIDf5v4fUJiX6ns/PpcC+wrIiMRysm4VOoYrX/uQcYQxblLpc6t\npQ6y9wibgnqDZGGjV7FaGBFhJrIURKGQtA9SGMWJTeusuYjFD1uWY0f9D5FnFfTjt99+Oy6//HIQ\nQjBn9tPIyV6L6rkLQ9ePePkfk/iaszwd6JBOD3ufDgveyYC7RxLABEDn0EmQbRlw1ykFu8EcexOz\nqF3Z8Rd9cARLrMKGqLtdchT8xnkufGe9E6Zhpb688aRSHRmQrSAJjXRq9JpOBU8qjlMItdJ4+ERy\ni0zZ497N2y99ifKw8J/ZPmyHc1jaDB7MivSvSDy/cOJ4eSP+p+jysPeOkG1PAQA+v0YWfK9QCEvh\nH/w7vN2xIuwCAY7HiS98AS8uWwoA2Lo1dTk94mHMhQCldJe4CgCARgARmZdFVVErIaT11Clt77vR\nxrmqRPGdsxlAkkj3dsbIIdhrSr358POREt/WJwz4tn5peZk3pxMFCxOLoS6h0rzDpjUUHKaeFDa2\nLUPKGQ0vS5/kPq2eIc1hMmB27puq54LoTcpNxiWL38DSJW/Cbo+01BALGfV50bDEyLkQRD4TJxS4\n4MUClJywIPeMCY0fCL9NlldY5RCdUolgtfhQfK2gxdT5tctaHZYAyDE4hHKbDfb3WlF6+H2c9zeh\nXfebOFiGO5DVKw2MPr4f048q4yvFGiT9/ABIjQNdLtGiJQGfmAfeGMDs9hhqDQJUz1uEj36XjX89\nnRNRmsrn90TeolEEvzl6HK3RpF9nwYseaWISTR2kdu4wJJPZAVMu4C4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simultaneously plot all experiments as read from the second channel. \n", "plt.plot(tin, Yout[1,:,:])\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('$y_1$')\n", "plt.title('$y_1$ versus time, all ``experiments\"');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the phenomenon called *leakage*, we often window the data. A common window used for such is the Hann window. You will often see if called hanning, but it was created by VonHann. There is a similar window, the *hamming* window by Hamming, which leads to the accidental mis-reference. \n", "\n", "The toolbox enables the user to directly obtain a window of the size necessary to window all data in all dimensions simply by using the raw data as an argument. Here one is plotted. They all will look the same, but the result is actually also a 2x2048x25 array. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZyGTGCr0CvxZ2IICy9htNGZ0bFpFOklImhYaGXn5SO5d2rAQ7skqx+Ko4BPjw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\nub/GaBDj3gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(vt.hanning(Yout)[0,:,0]);" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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eJ6h1kBCiJU9TU4DAPffazhwp5f3BLugjhUUAU6ZMUWPLdvDNuwc5uLGU+JRI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\nkIEjknxiBDY4UQ1ZZDVGcPnllwdci6/V3EvUD34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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here we are windowing the first output. Note that [0,:,:] strips off the first dimension\n", "# If hanning is applied to Yout[0,:,:] it may fail to operate as expected because the first \n", "# dimension (0) is now the time index, where Hanning expects it to be the second. \n", "plt.plot(tin, vt.hanning(Yout)[0,:,:]*Yout[0,:,:])\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('Hanning windowed $y_0$')\n", "plt.title('Windowed $y_0$ versus time, all ``experiments\"');" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Response (all outputs, all experiments)')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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woJyygYdafgETOL9vAQBcyijHzXy1Yi5uqX0DhaKC+HSmCv9jeS/oKBL0TSX6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\nDBcCHA6Hk8FwIcDhcDgZzP8D9vBnWN6nObkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note that each layer is a new dataset. Here we plot all 3 datasets on top of each other, \n", "# numbers 0, 1 and 2, for all outputs\n", "\n", "plt.plot(tin,np.transpose(Yout[:,:,0]))\n", "plt.plot(tin,np.transpose(Yout[:,:,1]))\n", "plt.plot(tin,np.transpose(Yout[:,:,2]))\n", "plt.title('Time response')\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('Response (all outputs, all experiments)')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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zjh4SUkYTFhaf+GeWjz0bj+GjsLN3PvsKcxhVlhtW54Ixg/E0fW5ihyE6/hVk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\niCjAij0ItPldgGGE58oOz5Mdnid7vp6rom4TICKi1Ir9SYA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note that each layer is a new dataset. Here we plot 3 datasets on top of each other, \n", "# numbers 0, 1 and 2, for both channels\n", "\n", "plt.plot(tin,np.transpose(vt.hanning(Yout[:,:,0])*Yout[:,:,0]));\n", "plt.plot(tin,np.transpose(vt.hanning(Yout[:,:,1])*Yout[:,:,1]));\n", "plt.plot(tin,np.transpose(vt.hanning(Yout[:,:,2])*Yout[:,:,2]));\n", "plt.title('Time response')\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('Response (all outputs, all experiments)');" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Swapping axes temporarily to be compliant with expectations. I'll fix them in your result\n", "Swapping axes temporarily to be compliant with expectations. I'll fix them in your result\n" ] }, { "data": { "text/plain": [ "Text(0,0.5,'Response (all outputs, all experiments)')" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HlQ+3aiF4L0V3fb1h8kM0afrvyQhMtuRgMjhJOqWE53e+6NPKao2lsrJvmvcU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\nUcKiqC9Wl++0PJjj7ao8q/HP9O05j749ZzPosB8cbXfePvO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note that each layer is a new dataset. Here we plot all 3 datasets on top of each other, \n", "# numbers 0, 1 and 2\n", "\n", "plt.plot(tin,vt.hanning(Yout[0,:,:])*Yout[0,:,:])\n", "plt.plot(tin,vt.hanning(Yout[1,:,:])*Yout[1,:,:])\n", "plt.title('Time response')\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('Response (all outputs, all experiments)')" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2048, 25)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ywindowed[0,:,:].shape" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "run_control": { "marked": true } }, "outputs": [ { "data": { "text/plain": [ "array([[[ -0.00000000e+00, -0.00000000e+00, -0.00000000e+00, ...,\n", " 0.00000000e+00, -0.00000000e+00, 0.00000000e+00],\n", " [ 1.04209715e-07, -2.29604319e-07, 1.54300749e-07, ...,\n", " 9.81472892e-08, -5.88807409e-07, 2.21969610e-07],\n", " [ 2.59567654e-06, -2.52310646e-06, -9.67254856e-07, ...,\n", " 5.05292704e-07, -4.41190983e-06, -4.01408357e-06],\n", " ..., \n", " [ 7.29951983e-06, 2.59046939e-06, 2.53385566e-05, ...,\n", " 4.32654634e-06, -9.72402792e-06, 2.06779988e-05],\n", " [ -1.14766033e-06, 1.61024854e-06, 4.34493995e-06, ...,\n", " 4.80317332e-06, 2.89309047e-06, 2.06512948e-06],\n", " [ -1.17401443e-32, 5.99505461e-33, -1.98208687e-33, ...,\n", " 2.14089224e-32, 2.95174371e-32, -1.63385237e-32]]])" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ywindowed[0,:,:].reshape(1,*Ywindowed[0,:,:].shape)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Response (all outputs, all experiments)')" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HlQ+3aiF4L0V3fb1h8kM0afrvyQhMtuRgMjhJOqWE53e+6NPKao2lsrJvmvcU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\nOYwIAUEQhBxGhIAgCEIOI0JAEAQhhxEhIAiCkMOIEBAEQchhRAgIgiD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note that each layer is a new dataset. Here we plot all 3 datasets on top of each other, \n", "# numbers 0, 1 and 2\n", "\n", "# The error here is that the three-dimensional arrays are reduced to two-dimensional \n", "# arrays by leaving them with only one row. \n", "\n", "Ywindowed = (vt.window(Yout, windowname = 'hanning')*Yout)\n", "plt.plot(tin,Ywindowed[0,:,:])\n", "plt.plot(tin,Ywindowed[1,:,:])\n", "plt.title('Time response')\n", "plt.xlabel('Time (sec)')\n", "plt.ylabel('Response (all outputs, all experiments)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: If there is only a single channel, and the data ends up with only a single row as a result, the windowing/plotting won't work exactly the same. To add a zeroth dimension (but with a value of 1), you can do this:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "chan1 = np.expand_dims(Ywindowed[0,:,:], axis=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a different window: the flattop window. " ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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U4mkAT0spNwshpgC4Wkr5vTPdvrKyUtbW1qYhZvKWL5qNYKOLcFtfCDkElnke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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(vt.window(Yout, windowname = 'flatwin')[0,:,:]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we have obtained the fully windowed 3-dimensional array, but plotted only the first channel by calling only those rows with `[0,:,:]`." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "# Let's find some cross and auto spectrum densities. \n", "# Better functions are likey to be those in scipy.signal. They use the periodogram method. \n", "# That method doesn't work for hammer excitation, but is otherwise likely better. \n", "freq_vec, Pxx = vt.asd(Yout, tin, windowname=\"hanning\", ave=bool(True))\n", "freq_vec, Pyy = vt.asd(Ucomb, tin, windowname=\"hanning\", ave=bool(True))\n", "freq_vec, Pxy = vt.crsd(sp.expand_dims(Yout[0,:,:],0), Ucomb, tin, windowname=\"hanning\", ave=bool(True))\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "We can plot the H2 and H1 FRFs. " ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'amplitude (dB)')" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vdvuG7/ZL2XV4ZLEeOiZPX3xlgV6/sUJXVhqNiEVFWu/Y2cFbjr2otLTu95p5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\nuJDEIIQQwoUkBiGEEC4kMQghhHDx/3PFp2r76XvmAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(freq_vec,20*sp.log10(abs(Pxx[0,:]/Pxy[0,:])),'-g')\n", "plt.plot(freq_vec,20*sp.log10(abs(Pxy[0,:]/Pyy[0,:])),'-b')\n", "plt.legend(['H1','H2'])\n", "plt.xlabel('frequency (rad/sec)')\n", "plt.ylabel('amplitude (dB)');" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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EPO6tmDKeJd7r0LPhfThNLP5C1BraIpIg4W/lcWL+3Sdr2twqi38lL7bnbel8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\n1rnVDb5QiucQEaJ6NuwS3W/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/Kwe4ezNweBLr0h50FDDk2uTdL4tRC/8LFx6D9q20vuUp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\nCYJoeYSEP0qXndnkq97iL+im3Q/5+KO0+JkgWu/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(freq_vec, 20*sp.log10(Pxx[:,:].T))\n", "plt.title('Raw ASDs')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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/phNGMnZALh+t3xu5c9HU8IVMnNX+oK6GKqjcFXh8+1dND8IcbLV1hXobMPP1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\nWFFcFhDwkxQ0GtWtcsJ4q2z/EurKVTH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hWji/+Xu5WlBo49i7YdXTavs3/4OCEfC/i8Kn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\nggIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freq_vec, Pxx = vt.asd(Yout, tin, windowname=\"hanning\", ave=bool(True))\n", "plt.plot(freq_vec, 20*np.log10(Pxx).T)\n", "plt.title('Averaged ASDs')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of what we've done could have been performed with a single call to `frfest`. \n", "\n", "A fancier plotter is still coming into being: `frfplot`. The results are at the end. Right now it's more illustrative. Multiple plots can happen at the same time, but it's not as friendly as it needs to be. " ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xi/k4ei9X1GYwa9IvOt0mVM75yMEP+EPjs5xZn8m8iT/z+f43Hf6Mp+uWkNXk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\nzGWVLfNC+NtJQ0ejXZFsKtvQYd3xRve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Wutr1yrJasKBG6J67cFJ5UJl8/lgtzc+2WbFxf3gqiEybn1TXh64k0pzzObLl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\ndIIgiDSBBJ0gCCJN+P9VFLOidiwAtQAAAABJRU5ErkJggg==\n", 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O8a87JxMXZuvZ8YdfDQdvZ9SmF/nT6LH8YiMcKavlLzeMIT4s0D06nAd01YM6hZRyvhBi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\nBivKwzxZf5x7al+m9udHeeHtC7x1po1ej1z/qSQ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hLMgLw5WjMHOJaR8LkW6zxFj1GSgc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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, H1, H2, coh, Hv = vt.frfest(Yout, Ucomb, t, Hv=bool(True))\n", "#fig_amp,=plt.plot(f[0,:],20*np.log10(np.abs(H1[0,:])),legend='$H_1$',f[0,:],20*np.log10(np.abs(H2[0,:])),legend='$H_2$',f[0,:],20*np.log10(np.abs(Hv[0,:])),legend='$H_v$')\n", "(line1, line2, line3) = plt.plot(f,20*np.log10(np.abs(H1[0,:])),f,20*np.log10(np.abs(H2[0,:])),f,20*np.log10(np.abs(Hv[0,:]))) \n", "plt.title('FRF of ' + str(Yout.shape[2]) + ' averages.')\n", "plt.legend((line1,line2,line3),('$H_1$','$H_2$','$H_v$'))\n", "plt.grid()\n", "plt.show()\n", "plt.plot(f,180.0/np.pi*np.unwrap(np.angle(H1[0,:])),f,180.0/np.pi*np.unwrap(np.angle(H2[0,:])),f,180.0/np.pi*np.unwrap(np.angle(Hv[0,:]))) \n", "plt.title('FRF of ' + str(Yout.shape[2]) + ' averages.')\n", "plt.grid()\n", "plt.show()\n", "plt.plot(f,coh[0,:])\n", "plt.title('Coherence of ' + str(Yout.shape[2]) + ' averages.')\n", "plt.grid()\n", "plt.show()\n", "vt.frfplot(f,H1,freq_max=3.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the coherence, you can see that the data in the vicinity of the zero is very bad. This might be something to be concerned about, but not overly alarmed about. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use `frfplot` for a decent display with a bit of effort. However, the legend shows on the wrong plot. Note that the $H_1$, $H_2$, and $H_v$ FRFs always have identical phases, so the distinction is moot for phase. " ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KebpVQei9JynlMiHEIv2Y8ThmCqboCeucXpT+vCSA6OjoUR988EFrXt4jlZSU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\nAyajH2mHU7h+8u/cHVaThvW/gCGpJrY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