{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Table of Contents](./table_of_contents.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The Unscented Kalman Filter"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from __future__ import division, print_function\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#format the book\n",
"import book_format\n",
"book_format.set_style()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the last chapter we discussed the difficulties that nonlinear systems pose. This nonlinearity can appear in two places. It can be in our measurements, such as a radar that is measuring the slant range to an object. Slant range requires you to take a square root to compute the x,y coordinates:\n",
"\n",
"$$x=\\sqrt{\\text{slant}^2 - \\text{altitude}^2}$$\n",
"\n",
"The nonlinearity can also occur in the process model - we may be tracking a ball traveling through the air, where the effects of air drag lead to nonlinear behavior. The standard Kalman filter performs poorly or not at all with these sorts of problems.\n",
"\n",
"In the last chapter I showed you a plot like this. I have altered the equation somewhat to emphasize the effects of nonlinearity."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from kf_book.book_plots import set_figsize, figsize\n",
"import matplotlib.pyplot as plt\n",
"from kf_book.nonlinear_plots import plot_nonlinear_func\n",
"from numpy.random import normal\n",
"import numpy as np\n",
"\n",
"# create 500,000 samples with mean 0, std 1\n",
"gaussian = (0., 1.)\n",
"data = normal(loc=gaussian[0], scale=gaussian[1], size=500000)\n",
"\n",
"def f(x):\n",
" return (np.cos(4*(x/2 + 0.7))) - 1.3*x\n",
"\n",
"plot_nonlinear_func(data, f)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I generated this by taking 500,000 samples from the input, passing it through the nonlinear transform, and building a histogram of the result. We call these points *sigma points*. From the output histogram we can compute a mean and standard deviation which would give us an updated, albeit approximated Gaussian.\n",
"\n",
"Let me show you a scatter plot of the data before and after being passed through `f(x)`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 30000\n",
"plt.subplot(121)\n",
"plt.scatter(data[:N], range(N), alpha=.2, s=1)\n",
"plt.title('Input')\n",
"plt.subplot(122)\n",
"plt.title('Output')\n",
"plt.scatter(f(data[:N]), range(N), alpha=.2, s=1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data itself appears to be Gaussian, which it is. By that I mean it looks like white noise scattered around the mean zero. In contrast `g(data)` has a defined structure. There are two bands, with a significant number of points in between. On the outside of the bands there are scattered points, but with many more on the negative side.\n",
"\n",
"It has perhaps occurred to you that this sampling process constitutes a solution to our problem. Suppose for every update we generated 500,000 points, passed them through the function, and then computed the mean and variance of the result. This is called a *Monte Carlo* approach, and it used by some Kalman filter designs, such as the Ensemble filter and particle filter. Sampling requires no specialized knowledge, and does not require a closed form solution. No matter how nonlinear or poorly behaved the function is, as long as we sample with enough sigma points we will build an accurate output distribution.\n",
"\n",
"\"Enough points\" is the rub. The graph above was created with 500,000 sigma points, and the output is still not smooth. What's worse, this is only for 1 dimension. The number of points required increases by the power of the number of dimensions. If you only needed 500 points for 1 dimension, you'd need 500 squared, or 250,000 points for two dimensions, 500 cubed, or 125,000,000 points for three dimensions, and so on. So while this approach does work, it is very computationally expensive. Ensemble filters and particle filters use clever techniques to significantly reduce this dimensionality, but the computational burdens are still very large. The unscented Kalman filter uses sigma points but drastically reduces the amount of computation by using a deterministic method to choose the points."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sigma Points - Sampling from a Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's look at the problem in terms of a 2D covariance ellipse. I choose 2D merely because it is easy to plot; this extends to any number of dimensions. Assuming some arbitrary nonlinear function, we will take random points from the first covariance ellipse, pass them through the nonlinear function, and plot their new position. Then we can compute the mean and covariance of the transformed points, and use that as our estimate of the mean and probability distribution."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import kf_book.ukf_internal as ukf_internal\n",
"ukf_internal.show_2d_transform()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the left we show an ellipse depicting the $1\\sigma$ distribution of two state variables. The arrows show how several randomly sampled points might be transformed by some arbitrary nonlinear function to a new distribution. The ellipse on the right is drawn semi-transparently to indicate that it is an *estimate* of the mean and variance of this collection of points. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's write a function which passes 10,000 points randomly drawn from the Gaussian\n",
"\n",
"$$\\mu = \\begin{bmatrix}0\\\\0\\end{bmatrix}, \n",
"\\Sigma=\\begin{bmatrix}32&15\\\\15&40\\end{bmatrix}$$\n",
"\n",
"through the nonlinear system:\n",
"\n",
"$$\\begin{cases}\\begin{aligned}\\bar x&=x+y\\\\\n",
"\\bar y&= 0.1x^2 + y^2\\end{aligned} \\end{cases}$$ "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Difference in mean x=-0.157, y=43.481\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from numpy.random import multivariate_normal\n",
"from kf_book.nonlinear_plots import plot_monte_carlo_mean\n",
"\n",
"def f_nonlinear_xy(x, y):\n",
" return np.array([x + y, .1*x**2 + y*y])\n",
"\n",
"mean = (0., 0.)\n",
"p = np.array([[32., 15.], [15., 40.]])\n",
"# Compute linearized mean\n",
"mean_fx = f_nonlinear_xy(*mean)\n",
"\n",
"#generate random points\n",
"xs, ys = multivariate_normal(mean=mean, cov=p, size=10000).T\n",
"plot_monte_carlo_mean(xs, ys, f_nonlinear_xy, mean_fx, 'Linearized Mean');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This plot shows the strong nonlinearity that occurs with this function, and the large error that would result if we linearized in the way of the Extended Kalman filter (we will be learning this in the next chapter)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A Quick Example\n",
"\n",
"I'm soon going to proceed into the math the Unscented Kalman Filter (UKF) uses to choose sigma points and then perform the computation. But let's just start with an example so you can see the destination, so to speak. \n",
"\n",
"We will learn that the UKF can use many different algorithms to generate the sigma points. Several algorithms are provided by FilterPy. Here's one possibility:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from filterpy.kalman import JulierSigmaPoints\n",
"\n",
"sigmas = JulierSigmaPoints(n=2, kappa=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This will become clearer later, but the object will generate weighted sigma points for any given mean and covariance. Let's just look at an example, where the point's size indicate how much it is weighted:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from kf_book.ukf_internal import plot_sigmas\n",
"plot_sigmas(sigmas, x=[3, 17], cov=[[1, .5], [.5, 3]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can see we have 5 points centered around the mean (3, 17) in an odd pattern. It may seem absurd that this will do as well or better than 500,000 randomly generated points, but it will!\n",
"\n",
"Okay, now let's implement the filter. We will implement a standard linear filter in 1D; we aren't quite ready to tackle a nonlinear filter yet. The design of the filter is not much different than what we have learned so far, with one difference. The KalmanFilter class uses the matrix $\\mathbf F$ to compute the state transition function. Matrices mean **linear** algrebra, which work for linear problems, but not nonlinear ones. So, instead of a matrix we provide a function, just like we did above. The KalmanFilter class uses another matrix $\\mathbf H$ to implement the measurement function, which converts a state into the equivalent measurement. Again, a matrix implies linearity, so instead of a matrix we provide a function. Perhaps it is clear why $\\mathbf H$ is called the 'measurement function'; for the linear Kalman filter it is a matrix, but that is just a fast way to compute a function that happens to be linear. \n",
"\n",
"Without further ado, here are the state transistion function and measurement function for a 1D tracking problem, where the state is $\\mathbf x = [x \\, \\, \\dot x]^ \\mathsf T$:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def fx(x, dt):\n",
" xout = np.empty_like(x)\n",
" xout[0] = x[1] * dt + x[0]\n",
" xout[1] = x[1]\n",
" return xout\n",
"\n",
"def hx(x):\n",
" return x[:1] # return position [x] "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's be clear, this is a linear example. There is no need to use a UKF for a linear problem, but I'm starting with the simplest possible example. But notice how I wrote `fx()` to compute $\\mathbf{\\bar x}$ as a set of equations instead of a matrix multiplication. This is to illustrate that I could implement any arbitrary nonlinear function here; we are not constrained to linear equations.\n",
"\n",
"The rest of the design is the same. Design $\\mathbf P$, $\\mathbf R$, and $\\mathbf Q$. You know how to do that, so let's just finish up the filter and run it."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tL7DEnWfdN2dmeiLzs1NZkJ3GsRNG4XZ2+VAeoaICRyMlPSIiIiIifVDf7OH19bt5cf2pLPQsYsme3/Kx+Qwxbi9/Tb6OrNN+yJoZaYxLiu15kAgWFTgaKekRERERETkMn89kTWktL362i79v2ku71wdAsXMR33e8TgweTGc0X/vB/xx+sKO8qEAkKOkJYf369VZpvXnz5kV6OjIEKYbELsWQhIPiSOw6mmOoYn8Lr6wt56W1u9i1r8V6PGfcSC47YTzfankB90ce8Bcj6M0panaqsA1RkY4hJT0iIiIiMrTZqUwWpG+718f7Wyppef9+ymsP8Ih3EQAjY1xceEwGl58wnrlZSThWPwQfPdD3U9RCVUnTEZ4jQklPCHFxcXi9Xlwu7SbpH8WQ2KUYknBQHIldgz6GopzBk43Op5H1om9xzg288OkuXvtiN1f6ixKYizh5cgqXnzie83LTGRHt7D62TlE7rEjHkEpWi4iIiMjQ11NhgMPc+6bVY7D9lZ8ws/Axq+razc5XWeLO44Os7zL+4p8yaUx8944Rvu/N0Uz36RERERGRo5c/0fGXgA6R8GyvaeLP/y7j5c92UdfssRIdD27ceDDOugvngtsHeAOkN5T0iIiIiMjRLcTNPj2Gj/c2V/L8Jzv5aFut9XhGUizfPGkCN398WkcxAt0odFDTzUlFRERE5OjVw80+d+1r5oVPy3jps3KqD7QB4HDAguw0rjx5AvOz03B+8JBuFDqMKekJoayszLrgasKECZGejgxBiiGxSzEk4aA4EruGRAx1uYbHyH8QZ/59vPp5OUuqzsF/blPqyBi+eeJ4Lj9xPFnJcUH76kah4RfpGFLSE0JdXZ1VT3zQvsFlUFMMiV2KIQkHxZHYNehjqFPSUnfCLTz3fjEvfHoCizyLWFL/LNujmlg35btccdIEzp41FrczKmhfVWE7ciIdQ0p6RERERGRoO3izz/yx13LbI6upaew4he35+G9y4rgU/isjgVHnnxyy79F0o9CjkQoZhNDW1oZpmjgcDmJiYiI6FxmaFENil2JIwkFxJHYN9hhqbvdy31tbeP6TMgCmpyVw08JpnJs7jhiXM8KzEwhvDKmQQZgNxje1DC2KIbFLMSThoDgSuwZzDK3ftZ9bX1xHaU0TANefPpml52YT61ayM5hEOoaU9IiIiIjIkOM1fPzvyhIe/Ucxhs9kXGIsD186jzOmj4n01GQQUtIjIiIiIkPKztombnlxHV+U7Qfggrnp/PziXEbFRUd4ZjJYKekJoaGhwTr3MDExMdLTkSFIMSR2KYYkHBRHYtdgiSHTNHnh013c++ZmmtsNRsa6uPeiXC46JgOHwxGxecnhRTqGlPSEsH37dqu03rx58yI9HRmCFENil2JIwkFxJHYNhhiqaWzjjlc28v6WSgBOmZLCisuOIXPUiIjMR/om0jGkpEdEREREBof8+yHK2a189D+2VLL15bvJbfew2nkZPzpnBt8+YwpRUTq6I72jpCeEsWPHYhgGTqeqf0j/KIbELsWQhIPiSOwasBiKcgbcELS53cu9b25hzNr/YYk7j2fjr+T1a09nZrpO0xxqIr0O6T49IiIiIjJ4rFoO+fdRcdwPuaLoS1y4/48sceexMuM7nHLdgypFLbpPj4iIiIgMXVUHWnnDeSmxcTu58vNf8o75K2LcXsrm3sL8S34W6enJEKYjPSIiIiISMY1tXt7ZtJe/rNvNR9tq8B38ZFoUcw0xDi+mMxrH3dWRnaQMKjrSIyIiIiKDXrvXx+qt1fxl3W7e31JJq8dntR07YRT3jHyTmBIvOKNxGO0dp7x1KW4g0hdKekIoKCiwSuvNnj070tORIUgxJHYphiQcFEfSL50qqXWLoVXLwWfAgjt7PZzPZ7K2rI6/fLGbtzbuYX+zx2qbkhrPxcdkctExGUzc9Djk/y8sWNaR6By8xgdQ4jOERXodUtITgtfrxev16mZX0m+KIbFLMSThoDiSfulUSc076pxDMeRPQhYs69UwWysP8JcvdvP6ugp272+xHk8dGcOFczO4+NgM5mQmdR/bn+D4/1XiM6RFeh1S0hNCTEwMUVFRuN3uSE9FhijFkNilGJJwUBxJv3RKNjJyq9mbfQ3jip6DTU8FJiUHmaZJ2b5mNlc0UFDRQEFFPQUVDVQdaLOekxDj4pzZ47j42AxOmzoGZ9f77PiMoGNbP/uMcG+lDJBIr0O2Cxn89re/5Tvf+Q7x8fE0NjYGtH3++ecsXbqUNWvW4HK5WLhwIQ8//DBTpkwJeJ4KGYiIiIgMUv6jL85oMNphwTI8Z/yIbVWNAcnNlooGDrR5ucWVh2FG8ZhxCQCuKAfzs1O5+NhMzql5DrfD7NNpcSJd9Sd3sJX07N69m9mzZxMfH099fX1A0lNYWMhJJ53EMcccwx133EFrayv33HMPdXV1rFu3jtTUVFsTFxEREZGB4ft/qUT52vE63Fyc8hpb9zbSbvi6PS/aGcU9iW9wVcvzfDFtMcYZtzEzPZH4GFfwU9dE+mHAq7d973vf40tf+hIpKSnk5eUFtN1zzz3ExMTw5ptvkpjYcdfc448/nunTp/Pwww/z4IMP2vnVIiIiInKEba08wKY/LeMSXzttposYPCzY+wybjEsYGeNiZkYiszMSmZ2RxKz0RKalJRDtOg9WTeLY/PtgfDJMWqqERyKu30d6/vjHP7J48WI2b97Mj3/8Y/Ly8qwjPV6vl8TERK655hqefPLJgH7nnHMO27dvZ+vWrdZjOtIjIiIiMnhUNrTyyHtbSfviUX7oyuMR76Wsn/pdvu3L44xdv2H/ybeReM4yorpek9NZkNPilPBIOAzYkZ6qqipuueUWHnjgAbKysrq1l5SU0NLSwty5c7u1zZ07l/fee4/W1lZiY2N7/B0FBQVMnDjROkoE0NbWRmFhIQDJyclMmDAhoE9xcTHNzc0AzJs3L6CtpqaG3bt3AzBhwgSSk5OtNsMw2LRpE9Cxw/zXHFVUVGAYBg0NDXi9XgBmz56Ny3Vot+3fv5+dO3cCkJGREXDaHsCGDRswTZMRI0YwY8aMgLZdu3axb98+ALKzswP2R2NjIyUlJQCkpaWRnp4e0Hfz5s1W2b9Zs2YFtO3Zs4eqqioApk6dSkJCgtXW2tpKUVERACkpKYwfPz6g79atW2lpacHhcHR7/aqrq6moqABg4sSJjBo1ymrzer0UFBQAkJiYyOTJkwP6lpaWWsGZm5uL0+m02urq6igrKwMgMzOTMWPGBPRdv349AHFxcUyfPj2graysjLq6OgBycnKIiYmx2hoaGti+fTsAY8eOZdy4cQF9CwoK8Hq9xMTEkJOTE9BWUVFBdXXHjdCmTZtGfHy81dbc3ExxcTEAo0eP7vYeKCoqorW1FafTSUpKCoZh4HQ6ycjIoKqqij179gAwadIkkpKSrH7t7e1s2bIFgKSkJCZNmhQwbklJifXFwpw5cwLe2LW1tZSXlwOQlZXF6NGjrTafz8fGjRsBSEhIYOrUqQHj7tixg/r6egBmzpxJdHS01VZfX8+OHTsASE9PJy0tLaDvpk2bMAyD2NhYsrOzA9rKy8upra0FYPr06cTFxVltTU1NbNu2DYDU1FQyMjIC+hYWFtLW1obL5epW1nLv3r1UVlYCMHny5IiuEX7bt2+noaEBCP8a4Y/DMWPGBGyP1ohDhvIakZubG9B2pNaIbdu2WTE6ceJErREMnzUi3J8jGtu8rHhrPX9aW8l3eYUfuvP4a/J1nHr291mU6MY0b2LPv7ykf/IQ9Z4Wkr52X8C4AWvEWUth9UMdCY8zmupZ11Fx8P2qNWJwrRED8TkiLi6O2NhY6zMR9H+N8L9P+6JfSc/ixYvJzs7mhhtuCNrun2BKSkq3tpSUFEzTpK6urtsbsDOv10vXg1CmaeLxeKz2YH387V35fD6rzefrfg5qsHGrq6vxeDw4HA5rLl3n1Hlcw+heUcTj8WCaZtBKFYZhWH37M25P29p53K7b2nkfBhvXvw+DlRPs7bgD8doEGzdUvPS0D71eb9BvBUK9Nr0Z1+PxYBiGFUNut5uMjIyQ43be1r6+5r3dh8H6d55TV4fb1vb2dnw+X8Afn2Dj9ncfBttHvR13sMSh3TXCP5d9+/YFfEDTGnHIUF4j+jKuv+/hxg3mwIED1r7TGjG44nCwfI7wGD5e+HQXj76/lZrGdgDSEhxsz76Jr116H+vXr6ey0oPL5cI79Qp8hkG80fO2WuWnDyY8GO3E/vtXeMZeZM2vs8H42hxNa8RAfI44cOAA9fX11mcisLdG9FWfk55XXnmFN954gy+++OKwdbZDtR+ur8vl6vYch8Nhvek7f0vSuU9PZfA6l8gLFpyhxu3c3nVOnccN9oK53W5M0ww6rtPptDVu5397Grfrtnbeh8HG9e/DYK9Pb8cdyNem87ih4qWnfdj5OZ2Fem16M67/6E7XRSfUuJ23tadx7e7Dw21rV4fb1ujoaAzDOCL70Ofz9fl9Mxjj0O4a0ROtEYcM5TWiL+P6+4YatzelYLVGDK44PNKfI8Zu+R3xexMh695u46YVPovTYfKu63YeeLuQ0uomALKSYrhyTjxzsm4iddq0oHOqmX09vpQURnVp82/r2MJnYcvTATcYHZl/H5kzm6jK+U+tEYNsjRiIzxHBEjE7a0Rf9emansbGRqZNm8ZVV13Fj3/8Y+vxxYsX89e//pXy8nLcbjfl5eXk5OTw+OOPs3jx4oAxbrvtNlasWEFzc7N1GHawXtPT1NSEaZo4HI6Aw5IivaUYErsUQxIOiqOjWE8FBA4+/mLC1dxecx4AKfHR/OA/pnPFyRNwOwM/g/Uphg7zO3Vtz9EpnOvQEb+mp6amhsrKSlasWMGKFSu6tScnJ3PRRReRl5fHiBEjrPP/Otu4cSPTpk0LeT3PYKE/DGKXYkjsUgxJOCiOjmKdbjDq/3n/33/OqE8eYoVnEY/VnEeMK4r/OmMy35s/lcTY4N/Y9ymGdINRCSLS61CfjvS0trayZs2abo8/8MADrFq1ir///e+MGTOG3NxcLr/8clauXMm2bdsYOXIk0HGx2PTp07n11lt54IEHrP6D9UiPiIiIyLBw8CiL1+HGZXpY4VnEr32X8I3jsljylRmkJ42I9AxFem3Ab07qd+211waUrIaOyionnngixx13XMDNSfft26ebk4qIiIgMkOLKA/zuo+38bP0Coh1e2kwX35n4d+44N4dZGYmHH0BkkBnwm5OGkpOTw8qVK7n99ttZtGgRLpeLhQsX8vDDD3crxzhYNTc3W+cedi6TJ9JbiiGxSzEk4aA4OvqYpsmH22r47QfbWbW1mpudrxLt9uLBRYzDy3NTV0LGSb0eTzEkdkU6hsJypMeuwXqkZ/369Va54a71+kV6QzEkdimGJBwUR0ePVo/BX9dV8PSH2ymq7Phs9X3Xq/zQlUf5MbeSedFPcKx+qM8FBRRDYlc4Y2hQHekRERERkTDJvx+inMGTlFXLaW5t4ynn5fxxzU7rPjtx0U5+nfk+C/fkwYJlZPn7BiluIDLcKekJYfTo0T3WSRfpDcWQ2KUYknBQHA0DUc6gSUrNW/cy5tOHecq4lP/xFAOQkRTLtadP4vITJ5C05gvIsV9JTTEkdkU6hnR6m4iIiMhQcLACmzn/LlalX0fNW/eyqOG5jtLTxiXMGz+K/zpjMufljut2nx2R4USnt4mIiIgMUw0n30pJWR3HrvwFp5rLiXF4+aV3EdtmLuaVMydz3ITkft2pXuRooCM9IiIiIoPYpt31/HHNTl5fV0GLx6Ao5hpiHF68Djd7bi5jfIqqqcnRRUd6RERERIaBlnaDNzZU8PwnZazftd96/KdJbxLT5sV0RuMy2hm/8dcqRCDSC0p6QigqKrJK62VnZ0d6OjIEKYbELsWQhIPiaOgoqW7k+TVl5K3dRUOrFwC308G5ueksHfE649f9CRYsw3HWUusaH+CIJz6KIbEr0jGkpCeE1tZWPB4PhtG7yiYiXSmGxC7FkISD4mhw8xg+3i2o5PlPdvJxSa31eFbyCK44eQKXnTCeMWsfhfxHAu+tM4ClpxVDYlekY0hJTwhOp1PlGcUWxZDYpRiScFAcDRJd7gv6Kf0AACAASURBVLVTsb+FP/+7jBc+3cU3m//MSQ4f/3IsYmF2GledMpEvzUjFGXWwMIHPCH4z0T6Wnu4vxZDYFekYUiEDERERkYFw8HS09dNv5OHWi/hoWw0+E252vsoSdx4fjv9vJl3yU7KSVZhAJBQVMhARERE50rocsQmwavnBozJ3Wg/t2tfMOwV7eXvzGZzmXcQPix/nGE8lH5iXsDz171x2IA/vWXdxxoLbB3AjRI4uSnpERERE+iLKGfw6mk43D91WeYC3N+3l7YK9FFQ0WE/5jEsYmxjLkuY/8sOYv+I40A4LluFSBTaRI0pJj4iIiEhfBCkgYK58EMfKX/BB1nf5yWcnU/r2auvpUQ44aXIK584ex1dmjyNj1Plw70s4jHZwRqvktMgAUNITQlVVlXXBVVpaWqSnI0OQYkjsUgxJOCiOjoCzlmKaJo78+/CuXI7L9LDCs4jHts0Hmoh2RnHG9DGcO3sc/zEzjdEJMYf6rloO/oTHaO/4eZAnPoohsSvSMaSkJ4Q9e/ZY9cT1Bpf+UAyJXYohCQfFUXgZPpN3Cvby+IbTeNV0EYOHNtPF085LOX92GufOHsf87FRGxrq7d/bfW8dfiW0A77Vjh2JI7Ip0DCnpEREREekFj+HjL1/s5olVJZRWN3Gz81Vi3F68DjcxeFh/1jrcC+/oeYCuCQ8M6L12RI5mSnpCmDRpUseha4cj0lORIUoxJHYphiQcFEf2tHoMXvpsF79ZVcru/S0A/Cj2L9xEHi2n38GIL98Jq5bjzr8PnFE9Jy4RvteOHYohsSvSMaT79IiIiIgEcaDVwx/XlPH0h6XUNLYDMCYhhifGv8+J25/onsAEO5IjImGn+/SIiIiI2LSvqZ1nPtrOMx/voKHVC0DmqBF876wpXHrCeGI//BQmDc0jNiJHKx3pEREREQH21rfyfx+U8qdPymjxdCQuU1LjWTx/Ghcdk4Hbqc8lIoOBjvSEWXt7u/X/0dHREZyJDFWKIbFLMSThoDgKIv9+iHJifuk2iioP8OzHO3llbTntho+bna8ybpSblPN/wldmj8MZpetYFENiV6RjSElPCFu2bLFK682bNy/S05EhSDEkdimGJByGdRwdTF6CXkOzavnB4gF3Bjzc3O5lT00LUwse5bcflHJf44VW24Nj/s7ljXmYp9yFY076kZ79kDGsY0gGRKRjSEmPiIiIDF1RzuDlnjsXFQB21jaRX1jFP4uqWVNaS7v3ZG52LmIJf6bJ7WXTtO/x06Q3yVr3B1iwDIcKEYgMK0p6QkhKSrLuHCvSH4ohsUsxJOEwrOMo2H1uDiY8O+fewnMHLiB/xUpKq5sCumWOGsH+nFsp9WZyy6ZHoex1MNpVea0HwzqGZEBEOoZUyEBERESGvoOJjhHlxunz8JjvMla0X2w1u6IcnDApmYU5aSzITmNaWsKh+4Xcm9qR8Dij4e7qCG2AiPSWChmIiIjIUaegop7Hy/+DR8wHifF5aDNdrGi/mNSRMcyfkcrCnDROnz6GxFh3986rlh9KeIz2jp91pEdk2FHSIyIiIkPS52V1PP7PbfyjsIqbna8S4/biwUWMw8snp68l9fy7iQpVea3rzUT9P4MSH5FhRkmPiIiIDBmmabKmdB+/zi/mo221AHzf9So/dOVRc+KPGHP+3bBqOWPz74PE2J6Tl64JDwS/PkhEhgUlPSGUlJRYpfWmTp0a6enIEKQYErsUQxIOwyGOTNNk5dZqHv/nNj7bWQd0XKfzeNb7nFOVBwuWMaYvyYvPCF60wP+zzzgCWzF0DYcYksiKdAwp6QmhsbHRenFE+kMxJHYphiQcBn0chbjXjm/lg5RWNnBL1bls2t0AQLQrim+eOJ7vfmkKWevWw+x+JC9d7t0TtK9YBn0MyaAX6RhS0iMiIiKRFeReO17DR/HL9zCz8DFe9yxik9FAXLSTK0+ewHfOnEJaYmzH85W8iEgvqGR1CD6fz/r/SM9FhibFkNilGJJwGBJxdPAaG+9Zd/FqwhUcePc+/svzZ1Z4FvGM6zKuPX0S150+mZT46EjP9Kg0JGJIBrVwxlB/cgclPSIiIhJxB1o9FL14Nydsf4I2s6MC2/86Lsd35m1cfeokkkbotCoR6aCkR0RERIaUiv0tPPPxDv78SRkH2rwUxVxDjMOL4XDTesde4mN0Jr6IBNLNSUVERCRyQhQkYNXygxXTOq7B2VzRwP99UMob6yvw+jq+f/1J0pvEtHkxndE4jXbi1/xS1+WISFgo6QmhtrYWn89HVFQUo0ePjvR0ZAhSDIldiiEJhwGLoyAFCQDreh1z/l18sLWa//uglA+Ka6zmU6ak8IuUvzNl059gwTIculHooKO1SOyKdAwp6QmhvLzcKq2nN7j0h2JI7FIMSTgMWBwFuz/OweSlIPsmlqw7lcK3/w2AM8rBV+ek850zJzO35CnIf1Q3Ch3EtBaJXZGOISU9IiIiEj6dkhVz9UM4jHZ+4/wm968/DThAXLSTb544getOn8T4lLiO5xbrRqEicmSpkEEIkT4MJ0OfYkjsUgxJOAx0HO2pbyH1f8bjMj20mS6y254jbWQM154+iStPmkhSnCqxDTVai8SucMaQqreJiIhIxOysbeLJVSWM/eJX3OJ82So9vWnGTUy/7P8R43JGeooiMgz0J3dQViEiIiK2FO09wA9e+IIFD69kzNpHucX5Mi8mXM3H39qCOf8ucrf+mpiPVkR6miJyFNM1PSIiItIv63ft5/H8bby7uRKAm52vssSdR/mxt3L5RT/teFLO7eBwqCCBiESUkp4QfD6f9f861U76QzEkdimGJBzCGUemafLJ9n08nr/NKjvtcMB5ueO4emQWJC0jSwUJhh2tRWJXpGNI1/SEsH79equ03rx58yI6FxmaFENil2JIwiEccWSaJiuLqnk8fxuf7awDOspOX3RMBovnT2Va2shwTlkGGa1FYlc4Y6g/uYOO9IiIiMgh+fd33GT04NEZw2fyTsFeHs/fxsLKZzjD4WOD6zIuOyGL//7S1ENlp0VEBjElPSEkJCRYGalIfyiGxC7FkIRDn+Ioygn599HSbvBa4pU8/WEpJdVN1vU6qzK/w4eXLyAtMfbIT1wGDa1FYlekY6hPp7etW7eOZcuWsXHjRqqrqxkxYgTZ2dnceOONXHXVVQHP/fzzz1m6dClr1qzB5XKxcOFCHn74YaZMmdJt3MF6epuIiMjRpL7Fw7sFe4n64CG+Uf8sKzyLeMy4hB/F/oWbeImW0+9gxJfvjPQ0ReQod8RPb9u/fz/jx4/nW9/6FpmZmTQ1NfH8889z9dVXs2PHDn784x8DUFhYyPz58znmmGN46aWXaG1t5Z577uHMM89k3bp1pKam9mPzREREpNe6nKYWYNXyjqICC+7kQKuH97dU8ub6PawursZjmMA57HA2scSdxy3Rr+M0PbBgGSNUeU1EhqiwFDI45ZRTqKiooKysDIDLLruM/Px8SkpKSExMBGDnzp1Mnz6dW2+9lQcffDCgv470iIiIhNmq5R1lohcsC0x8Dj5eOPNmftl2MSu3VtPuPVRVacbYBC6Ym8H5c9OZ+uRkMNrBGQ13V0dgI0REuotYIYMxY8ZQVVUFgNfr5c033+Saa66xEh6AiRMnsmDBAl577bVuSY+IiIiEmT/ROXh/nJZTl7DrLz9lxuZf8ajvUh754lSg4/46U1LjuWBuBhfMTWfG2INV2FYtP5TwGO0dP+tIj4gMUf1Kenw+Hz6fj7q6Ol5++WXeeecdfv3rXwNQUlJCS0sLc+fO7dZv7ty5vPfee7S2thIbG/oCyIKCAiZOnBiQOLW1tVFYWAhAcnIyEyZMCOhTXFxMc3MzQLdSeDU1NezevRuACRMmkJycbLUZhsGmTZuAjizRf93Rjh07MAyD5uZmq7b47NmzcbkO7bb9+/ezc+dOADIyMrqdurdhwwZM02TEiBHMmDEjoG3Xrl3s27cPgOzs7IB90tjYSElJCQBpaWmkp6cH9N28ebN1MdisWbMC2vbs2WMloVOnTiUhIcFqa21tpaioCICUlBTGjx8f0Hfr1q20tLTgcDi6vYbV1dVUVFQAHUnsqFGjrDav10tBQQEAiYmJTJ48OaBvaWmplZHn5ubidDqttrq6OusoYWZmJmPGjAnou379egDi4uKYPn16QFtZWRl1dR2lU3NycoiJibHaGhoa2L59OwBjx45l3LhxAX0LCgrwer3ExMSQk5MT0FZRUUF1dce3mtOmTSM+Pt5qa25upri4GIDRo0eTlZUV0LeoqIjW1lacTicJCQkYhoHT6WTSpElUVVWxZ88eACZNmkRSUpLVr729nS1btgCQlJTEpEmTAsYtKSmhsbERgDlz5gR8m1FbW0t5eTkAWVlZjB492mrz+Xxs3LgR6LiIcOrUqQHj7tixg/r6egBmzpxJdHS01VZfX8+OHTsASE9PJy0tLaDvpk2bMAyD2NhYsrOzA9rKy8upra0FYPr06cTFHarw1NTUxLZt2wBITU0lIyMjoG9hYSFtbW24XC5mz54d0LZ3714qKzs+qE2ePDmia4Tf9u3baWhoAMK/RlRXV2OaJklJSUybNs1q0xpxyFBeI3JzcwPawr5GnLWU3fubycy/D+c/H2SGw3vwOp2vM3F0HBfMTeeruePwVO/A4WjB2VgFY0cGHCXaMfEyYj75Fen59+E1DFwLD13TozWiQyTXiIH6HOH/TGSaJk1NTYDWiGGxRhw0EJ8joqOjiY6Otj4TQf/XCP/7tC/6lfQsXryY3/zmN9YG/OpXv+K///u/AazJpaSkdOuXkpKCaZrU1dV1e/N15fV66XrmnWmaeDweqz1YH397Vz6fz2rrfHMkv2Dj1tfX4/F4cDgc1ly6zqnzuIbR/aZrHo8H0zSDVqowDMPq259xe9rWzuN23dbO+zDYuP596HA4+j3uQLw2wcYNFS897UOv1xv0UGio16Y343o8HgzDsGLI//qHGrfztvb1Ne/tPgzWv/Ocujrctra3t+Pz+QL++AQbt7/7MNg+6u24gyUO7a4R/rn4/1D1ZVytEYN/jejLuP6+hxvX3ze/sIonVpbw7x0nUhTjIsbhpR0X9cfdyBsnTyU3MxGHw4HP5+PzPd5D43c5Lc4oKWH31CvwGQaZqx8A56HrhLRGBM6pN+MO1c8R/r9nLpfL2katEUN3jehqoD5HNDU1BcSynTWir/qV9Nx11118+9vfpqqqijfeeIObbrqJpqYmfvSjH1nPCRbsvWmzJuZydXuew+GwdlTnb0k69+mpDF5UVJTVFiw4Q43bub3rnDqPG+wFc7vdmKYZdFyn02lr3M7/9jRu123tvA+Djevfh8Feo96OO5CvTedxQ8VLT/uw83M6C/Xa9GZc/9GdrotOqHE7b2tP49rdh4fb1q4Ot63R0dEYhnFE9qHP5+vz+2YwxqHdNaInWiMOGcprRF/G9fcNNW6U08VHZS38+MOPKNzb8a34Le7XiHF4MRxuok0Pd8T9lbisnwYd1+12HyxwcOg6IP+camZfz9hx43D5Dq1rWiMC59SbcYf654jOfbRGDL01IpKfI4IlYnbWiL4KSyGDG264gd/+9rdUVFSwb98+cnJyePzxx1m8eHHA82677TZWrFhBc3NzwCHYwVrIoL293fr/zofqRHpLMSR2KYakN1o9Bnlry3lqdSll+zpO+4iPdvK/4//BWbufwvulO/CdsYSoD1fgWv1A9+IGIoehtUjsCmcMRayQwUknncSTTz5JaWkpxx9/PCNGjLDO/ets48aNTJs27bDX8wwWelOLXYohsUsxdJQ7TNnptvZ2fuf+Fk9/uJ2axjYAUuKjue60SXzHzCP2w6dgwTJc/v4L7+w4Pe1gcQMlPtJbWovErkjHUFiSnvz8fKKiopgyZQoul4sLL7yQV199leXLlzNyZEcVmLKyMvLz87n11lvD8StFRESGv6jgCUrTu78g/uMH+T/zMh5u67gwP3PUCL5z5mQuP3ECI6KdkE/wIzr+n33dTzURERmu+nR623e/+10SExM56aSTGDt2LDU1Nbz88su8+OKL3HbbbSxfvhzoqKpy4oknctxxx3HHHXdYNyfdt29f0JuTDtbT20RERCKuU2GBXXNuouiluzl7728PVmG7hOlpCXzvrKl87ZgM3E793RSR4a8/uUOfkp7f//73/P73v2fLli3s37+fhIQE5s2bx7e//W2uuuqqgOeuXbuW22+/nX/961+4XC4WLlzIww8/3K3MXX8nPhDq6+sxTROHwxFQElCktxRDYpdiSEzTpOKvPyPzi0doMzuqsK3wLOKDjOtZPH8qZ88cS1RU6It6FUdil2JI7ApnDB3xpOdIGaxJz/r1661yw13r9Yv0hmJI7FIMHb1a2g3+un43z368k817GiiKuYYYhxcPbtZeU8TJk1N6XcFIcSR2KYbErnDGUMQKGYiIiEh47Kxt4g//2snLa8upb+m4R8WtB8tO+6KicfvaOWXX0zBFRQhERHpLSU8I6enpPdZJF+kNxZDYpRg6Ovh8Jqu2VvPsv3awams1/nMwxqeM4Jdj3+XE7S/DgmVEnbX00DU+0Ovqa4ojsUsxJHZFOoZ0epuIiMiRFKLsdMv797O5vI5bq86z7q8DMD87lWtOncj8vc8QtfIX3auwdSpuoLLTInK00eltIiIiR8ph7pmDz4AFd3ZvC1J2etPueipe/xlfqXqalZ5FlBnNJMa6uOyE8Vx1ykQmjYnveP4en8pOi4iEgZIeERGR3ujhnjkBR12C8T83/z4KKuq5Z//5nFb+NEvceazwLOL9tGt54NSJXHRMZsf9dToLlkR1HVdERA5LSY+IiEhvdEperJ8Pc5qZaZp8sWs/L9eeS4ZZzM1Fv+ZP5pPEuL28Ofp6zrrwbn44MbnXVdhERKR/dE1PCJs2baK9vZ3o6Ghyc3MjOhcZmhRDYpdiaBDyJzrOaDDagyY81Qfa+MsXu3nps10UVzVaj2+NvYZovJjOaBx3Vw/YlBVHYpdiSOwKZwzpmp4wMwwDn8+HYeicaekfxZDYpRgahM5aCqsf6kh4nNFWwuM1fKzaWs2Ln+7in4VVeH0d3ynGuqP46px0bo3+C9HrvOCMxmG0dyRPA3SKmuJI7FIMiV2RjiElPSHExsbidDpxu92RnooMUYohsUsxNAitWn4o4THa2fe3e3nKcSmvfF5O9YE262nHjB/FZSeM54J56SR+8gjkP3LoqFA/yk7boTgSuxRDYlekY0int4mIiPTWwWSl/cw7+UvSlfhWPsg3G//ACs8iHjMuYXR8NF8/NpNLTxhP9riRAX1UdlpEJDx0epuIiMiRcjBJKci+ias+Oo665g3AeVS4WljizuNr8zKYeMnPiHZ1+aPrM1R2WkQkwpT0iIiI9EJ9UyvvJ/0nS9afBniYkBLH5SeOZ9Hxj8MX2Uz3GdA14QGVnRYRGQSU9IiIiIRg+Eye/XgHD685ieZ2g2hXFD/4j+l890tTcDsPJjlKXkREBjUlPSGUl5djGAZOp5OsrKxIT0eGIMWQ2KUYiqytlQdYmreBdbv2A3DSpBTu/8YcpqYmRHhmfaM4ErsUQ2JXpGNISU8ItbW1eDwe3G633uDSL4ohsUsxFBltXoPH80t4YuU2PIbJyBgXd3w1h2+dOIGoqKF3I1HFkdilGBK7Ih1DSnpEREQ6Wbuzjjte2WDdVPTsmWP5+cW5jEuKjfDMRESkv1SyOoTm5mZM08ThcBAXFxfRucjQpBgSuxRDA6epzctD7xTx7L92YJowJiGan35tNufPScfhGHpHdzpTHIldiiGxK5wxpJLVYaY3tdilGBK7FENhln8/RDm7FR5YWVRF8cv3MKq1DdNcxKLjs1j21Zkkx0dHaKLhpTgSuxRDYlekY0hJj4iIHD2inB03BAU4ayn7mtq5983NZG14jCXuPP4v9lv84fKTOHN6amTnKSIiYaWkR0REjh5nLe04vSL/Pj4uqeGm3V/mytYXWOLOY2XGd7jy2geIi9afRhGR4UbX9ITQ1NRknXsYHx8f0bnI0KQYErsUQ+FhmiYbyut5u2Avb2/aywV1f2CJO48200WMw8ue435I+td+EulpHjGKI7FLMSR2hTOGdE1PmG3bts0qrTdv3rxIT0eGIMWQ2KUY6j/DZ/LZjn28XbCXdzbtpaK+1Wr7jWsR3+d1YhweTGf0sE54QHEk9imGxK5Ix5CSHhERGTY8ho9/ldTy9017eW/zXmoa2622uGgnC3LSOHf2OL5S8xzuDzzgjMZhtMOq5d2KG4iIyPChpCeE1NRU686xIv2hGBK7hnUM9VBJDehIQnwGLLjzsH1bPQart1bzdsFe3t9cyX96XmKsw0eNdxFJI9ycPXMs5+aO48zpY4h1OzvG/uB+WLCs43evWh5Q3GA4GtZxJANCMSR2RTqGlPSEkJGREekpyBCnGBK7hnUMdamkZvEnIQuWBe3W3O6luq6ViRv+hxc/LePu/efT7vUBcLPzVZa483hv3Lf5w3+cxClTRuN2RgUf2/87/f8O48RnWMeRDAjFkNgV6RhS0iMiIpERLNkIkpTUt3hYu3Mfn2zfx7+372NjeT1e30nc7FzEksY/UG628OqoK/l5yt9YUJGHb/5dfHn+7cF/p88ITHi6zsVnHIENFRGRSFP1NhERiSx/ouOMBqOd5tNvZ3X6dXyyfR+flO5jy94Guv6lykiK5eQpo7ne+xJzih/H9F+bEyyhERGRYaU/uYOSHhERiSjTNDHvTSPK1047Lma0PtftOZPHxHPy5BROOvhfVnKnO3vfmwpGe0fSdHf1AM5cREQiQSWrw6ywsNAqrZeTkxPp6cgQpBgSu4ZzDLV7fby1sYLGd3/B1b526545Nztf5b3U/7QSnJMmpZCWGBt8kFXLDyU8qsLWo+EcRzIwFENiV6RjSElPCG1tbXg8Hnw+X6SnIkOUYkjsGo4xtL+5nec/KeO5f+3gsqY/s8Sdx6O+S9l7zPf5L+NllhT8iiXHZh8+eel6/c9RUIWtv4ZjHMnAUgyJXZGOISU9IbhcLkzTxOXSbpL+UQyJXcMphkqrG/n9RzvIW1tOi8ewKq19Mul7XHPpvSTHRwNzIW3k4ZOXo7QKW38NpziSyFAMiV2RjiFd0yMiIkeMaZqsKd3H0x+W8o/CKqsgwaz0RFak/o3p6aNwLQhSaa0P9+npc18RERnSVMhAREQGhXavjzc3VPD0h9spqGiwHj97ZhrXnzGZU6eMxuFwRHCGIiIyVKmQgYiIRJT/ep1nP95B1YE2AGLdUSw6PovrTp/M1NSECM9QRESORkp6RESk36eLtXoMqt/4KWV1bTzSfjHrdu3H6+s4gSBtZAyPZb7H3IyRjPjKeUd6C0RERHqkpCeEvXv3YhgGTqeTcePGRXo6MgQphsSuAYuhKGfwAgCdCwYAXsPHht31/Kuklo9LavhsRx3fNStY4s5jjaeWz3yXMDsjkf86YzJfq38e16onYfKyIzdv6RWtRWKXYkjsinQMKekJobKy0qonrje49IdiSOwasBgKVvnsYMJTdcIS/hq1iI+f+ZR/b99HY5s3oOsLI79FTlIiS2p+x7fPnEzSuT/u6LvqF4HV1SRitBaJXYohsSvSMaSkR0REOnRKfIyVy3GaHh53XM5DHx4PbLGeljTCzalTRnPatNGcNnU0U1MTcDjOhlXpJOXfB58+2nGjUCU8IiIySKh6WwgNDQ2YponD4SAxMTGic5GhSTEkdg1kDJVUN/LbD0r52foFRDu8tJkustueIz7ayUmTUzht6hhOnTqaWemJREX1UHnt3tSOhMcZDXdXH9H5Su9pLRK7FENiVzhjSNXbwkxvarFLMSR2DUQMfV5Wx29WlfDu5kpuinqVaLcXDy5iHF4+OvUz0i64G7ezF19CrVp+KOEx2jt+1pGeQUFrkdilGBK7Ih1DSnpERI5CPp/JPwureGp1Kf/esQ+Am52vssSdx+5jbyXzop/CquVk5t8Ho0YcPnnpXPCg0/VAgBIfERGJOCU9IiJHkXavj9fX7eap1aUUVzUC4HY6+HXm+5xTlQcLlpHpT1KCFTcIpmvC05e+IiIiA0BJTwhtbW3WuYcxMTGRno4MQYohsavPMdTD/XYOtHoofPFu1u2s5b7miwEYGePiilMmcP3pkxm7dj3MDlJ4wP+zz+j5d/qM4EULetNXBoTWIrFLMSR2RTqGlPSEUFhYaJXWmzdvXqSnI0OQYkjs6nMMdbnfTmVDK7//aAcJa1Zwk+MlVnsWMTYxhutPn8y3Tp5AYqy747lBbjxqOdxRGjt9ZUBoLRK7FENiV6RjSEmPiMhwctbSjm/S8u/jnU17ubniy/w3edzkzuP3MVcw/oK7WH1MBjEuZ6RnKiIiMmCU9ISQnJyM1+vF5dJukv5RDIldfYmhPfUtvPr5bl5ZezLnexaxpPppNrqeJcbhpWT2D/jPb/ys51LTMqxpLRK7FENiV6RjSPfpEREZbHq4LgfoKBrgM6xTylo9Bu8U7CVvbTkfbqvBv6KPcDvZ6LoKl+nRPXNERGRY6U/u0Kes4p///CfXX389OTk5xMfHk5mZyUUXXcTatWu7Pffzzz/n7LPPJiEhgVGjRnHJJZdQWlral18nInJ08l+Xs2p54OMHq6SZjijW7qzjzlc3cuLP3+cHL6zjg+KOhOfkySk8tGgu6+avO5Tw+O+ZIyIicpTq0/GlJ554gtraWn7wgx8wa9YsqqurWbFiBaeccgrvvPMOCxcuBDouVJo/fz7HHHMML730Eq2trdxzzz2ceeaZrFu3jtTU1COyMSIiw0Kwcs8HE55PJn2POz87mdK3P7aenjlqBIuOz+Ibx2UxYXRcx3M/uF/3zBERETmoT6e3VVVVkZaWFvBYY2Mj06ZNIzc3l/fffx+Ayy67jPz8fEpKSqy7r+7c8xR4kgAAIABJREFUuZPp06dz66238uCDDwaModPbRESCOJisGFFunD4Pv/Qu4lfeS4CO09e+OiedRcdncfLklEPX6gS7Z06ox0VERIaY/uQOfTrS0zXhAUhISGDWrFns2rULAK/Xy5tvvsk111xjJTwAEydOZMGCBbz22mvdkp7Bqri42Lrgavr06ZGejgxBiiHpr/oWD3/0XcJ3eJBon4c208WvvJdw8uQUFh2fxXlz0kmICbKE6545EoTWIrFLMSR2RTqGbJdPqK+v5/PPP7dObSspKaGlpYW5c+d2e+7cuXN57733aG1tJTY2NuS4BQUFTJw4MSBxamtro7CwEOioADFhwoSAPsXFxTQ3NwN0q/9dU1PD7t27AZgwYQLJyclWm2EYbNq0CejIEqdMmQJAc3MzHo8Hh8PB+vXrAZg9e3ZA1Yn9+/ezc+dOADIyMrqdurdhwwZM02TEiBHMmDEjoG3Xrl3s27cPgOzs7IB90tjYSElJCdCRbKanpwf03bx5s1XrfNasWQFte/bsoaqqCoCpU6eSkJBgtbW2tlJUVARASkoK48ePD+i7detWWlpacDgc3V7D6upqKioqgI4kdtSoUVab1+uloKAAgMTERCZPnhzQt7S01MrIc3NzcToPlcutq6ujrKwMgMzMTMaMGRPQ17/v4+Liur1JysrKqKurAyAnJyfgZlcNDQ1s374dgLFjxzJu3LiAvgUFBXi9XmJiYsjJyQloq6iooLq648LvadOmER8fb7U1NzdTXFwMwOjRo8nKygroW1RURGtrK06nE8MwrNcJOo6W7tmzB4BJkyaRlJRk9Wtvb2fLli0AJCUlMWnSpIBxS0pKaGxsBGDOnDkB32bU1tZSXl4OQFZWFqNHj7bafD4fGzduBDq+pJg6dWrAuDt27KC+vh6AmTNnEh0dbbXV19ezY8cOANLT07t98bFp0yYMwyA2Npbs7OyAtvLycmprawGYPn06cXFxVltTUxPbtm0DIDU1lYyMjIC+hYWFtLW14XK5mD17dkDb3r17qaysBGDy5MkRXSP8tm/fTkNDA2B/jahqaOXpj7bz/JoyrvO+RLTbSzsuYhxe1p31BaPO+zHQsUasLwyyRhwscBB0jTiY+GiN6DAY1ojc3NyAtiO1RjQ2NmIYHQlvbW2t1giG7hrR2UB+jvB/JnK5XNZ7TmvE8FkjBuJzhGEY+Hw+6zMR9H+N8L9P+8J20nPjjTfS1NTEsmXLAKzJpaSkdHtuSkoKpmlSV1fX7c3XldfrpeuZd6Zp4vF4rPZgffztXfl8PqvN5/N1aw81buf2rnPqPK7/D0rXfqZpBrzAfv4PxP0dt6dt7Txu123tvA+Djevfhw5H97K2vR13IF+bzuOGipee9qHX6w16KDTUa9ObcT0eD4ZhBCzKhxu387b29TXv7T4M1r/znLo63La2t7fj8/m6bWfXcfu7D4Pto96OO1jisLdrRHULPPPaRvLWltPu9XGz81WWuPP4KO1KnCdcx8TSP5H+yUMQFw1nLdUa0clQXiP6Mq6/7+HGPRytEYMrDofa5wh/357G1RqB9fyhtEYMxOeIYPvJzhrRV7aSnrvvvpvnn3+exx57jOOPPz6gLViw96bNmpjL1e15DofDetMHq/HtcrmCLgrQsaP9bcF2erBx/d/ydP6GpuucOo8b7AVzu92Yphl0vk6n0+rbn3E7/9vTuF23tfM+DDaufx8Ge416O+5AvDbBxg0VLz3tw87P6SzUa9Obcf0JT9dvaEKN23lbexrX7j483LZ2dbhtjY6OxjCMI7IPfT5fn983gzEOD/deLjtg8srmBj7e1YLv4Bp+/+i/8a2mPPYfdyMJEy8HIPni++GTdKsgQdTxi7VGHDSU14i+jOvvG2rcnvbhhAkTrG9xtUYMrjgcKp8j/J+JOh8N1hoxfNaIgfgcEexosJ014v+3d+fxUdX3/sdfs2QlJCELZIEESNhXRRCwFHFDUVpFqFXr2tZbt1avigpV8SouKPdWvbXVtt6qKCoItSK48DNgtW64sAQIO2GTrIQkZJnl/P4IGTLJZEhyJplJeD8fjzw0c+Z85zsz7znMJ+ecz2mtNl+n5+GHH2bevHnMnz+fOXPmeG7Py8tj8ODB/PGPf+SWW27xWueee+5h4cKFHDt2zGsXrBoZiEiX1Mz1dgzDYP87D7NuVxF3FlzkuX3KoGRuPjubsXv+jMVqb9F1ekRERE417d7IoF59wTNv3jyvggfqjv2MioryHPvX0MaNG8nOzj7p+TwiIl1C/fV24PghaQartxymaOUjXFW5iLccM7Fa4JKRafxmchZD046fe9BvTvNjqvOaiIhIq7W66HnkkUeYN28ev//973nooYeaDmi3M336dJYtW8aCBQvo3r07UHeiWE5ODnfeeaf5WYuIdAYNrreTe7CMOw5dwIXFr3BX2FL+4JpF6djfsWZSVt21dURERKTdtOrwtoULF3L33Xdz4YUX+ix4xo8fD9R1VRk7diynn3469913n+fipCUlJT4vThqqh7cVFRXhdruxWq1NOoGItIQy1AU0c4gacNJDzQ4frea1L/OJ+vxpbna/SY1R14XtX71vYtAVj9Cz+8n3eitDEgjKkZilDIlZgcxQux/e9u677wLw/vvv8/777zdZXl8/DR48mDVr1nDvvfcyc+ZM7HY755xzDk8//XSTgieUHThwwNPOUR9waQtlqAtodIiaR8OLfTZgGAbf5pfy93/vZdXGQzjdBvBTfhn5NhEWJ4YtnEm/eqrFD68MSSAoR2KWMiRmBTtDrSp61qxZ0+L7jhkzhtWrV7d2PiIioaXBIWqe3xsWPMeXVztcrNhwiJf/vYeNB8o8q4/t24NHe6wkfIsTbOFYXLV16+vcHBERkQ5j+jo9XVlGRoZnN5xIWyhDXUTDwueTp8BV6yl4DpVV8doX+bz+VT4llbUAhNut/HRUGtdN7MvwHS9AznMnCqT6gqnhuH4oQxIIypGYpQyJWcHOUJtbVgdSqJ7TIyLi5ZFkcNVi2ML5+hd5vPzvPbyf+wOu4xfYSYuL5BcTMvn52AwSuoX73CMENH+7iIiInFSHtawWETnlrF0Arlpc1jBsrlr+9dd7eM81A4Az+yVw/cS+nD+0F3Zbgw2u2+W7sKn/3d30itkiIiISeNrTIyJyEu41T2Jd8xgv2H7O45U/4XbbMu4KW8pHvX5J70vnMSQ1NthTFBEROWVoT0+AuVwn/gprs9mCOBPprJShzs0wDHYve4j+G59hoWMmz1X/hLS4SGImzqHKkc35nz4B21Igtf0OUVOGJBCUIzFLGRKzgp0hFT1+bNq0ydNab9SoUcGejnRCylDntXF/GY+v2sK4vftwGTN5JfwKfn9ONtdMyCTCbgPuhzBbux+ipgxJIChHYpYyJGYFO0MqekREGthXcoynP8zjne8PArDO/jNuOKsvn5ydTVx0mPed1YRARESkU1DR40f37t1xOp3Y7XqZpG2Uoc7jyLFa/pizg5f/vZdalxuAy05L564LBtK7R3TQ5qUMSSAoR2KWMiRmBTtDamQgIqe0aoeLVz7fw/9+vIOj1U4AzspO5P6LhjA8PS64kxMREZEm1MhARKQ5OY+D1eY5JM3tNnhn/QGe/mAbM8pf40aLm/dTbuD+aUP48YAkLBZLkCcsIiIigaKiR0RODVYb5MzHMAw+Tb+RJ1ZtJffgUU/76U0Db+P2n0/CZlWxIyIi0tWo6BGRLs/pcvN1719SlVrAOWse4yvHNnJdM7g74h/cZlmK48f3M/yc+4I9TREREWknOqfHj927d3tOuOrXr19Q5yKdkzIUYI0OUfOydkFd++gp9wN15+p8tqOID3J/4KPNhyk95gDw7NlxWsKwGw6YMjeku7ApQxIIypGYpQyJWYHMkM7pCbCjR496+omLtIUyFGDHD1EDvAuVtQsgZz41k+7nw/UHeT/3B9ZsLaCy9sQ1dOKjwzh/SC9GDXsM4+1/YnfVgi08pAseUIYkMJQjMUsZErOCnSEVPSLSedQXKA0Kn2MfPUb0Z0+yPP567v14FLWu7zx3T4mNZOqwXkwdnsK4vgnYbda6Aqm+4HHV1v0e4oWPiIiImKPD2/xwOp0YhoHFYlFfemkTZah91P6/Jwj/1+M4CCMMBwsdM3nONQOA/kndmDo8hanDUhiZHoe1YWOC43uEPIe0Nf49BClDEgjKkZilDIlZgcyQDm8LMH2oxSxlKLB2FJSz6It83v7mNNZhJ8LioMawk5NyPXcNTeHC4Slk94zx3W7aV4HjY89RqFGGJBCUIzFLGRKzgp0hJVhEQprT5Wb1lsO88vle/r2zGKhrRhAR5sRlCSMCBytGfn7ygsXt8r1Hp/53t6vpOiIiItIlqOgRkY7Xgi5sBWfcyZtf7eP1r/I5VFYNgNUC/53yIZeWLsV99hxsZ997Yg8O+C98jnd18ykE9/CIiIhI4Kjo8ePIkSO43W6sVivx8fHBno50QspQM5rpwmaseRLLmsdYkXgjd67+GIer7pTDxG7hXDG2D//BUuK++DtMmYu1Ex2iZoYyJIGgHIlZypCYFewMqejxY+/evZ7WevqAS1soQ81oVKhUjv9Pdi59kJHb/1jXlODAeYDB6RnxXDMhk2kjUomw2yDHdsodoqYMSSAoR2KWMiRmBTtDKnpEJDgmz6aksoaEnPmEffwkIy1OFjpm8hfrTK44LZ1rJmQyPD3Oex0doiYiIiJtoKLHj7S0NFwuFzabLdhTkU5KGWrK5TZYk1fAy5/v5ZNtp5MXYSfC4qQWO3EXzuXLMX2Ii9bF7+opQxIIypGYpQyJWcHOkIoeP5KTk4M9BenklKETjhyrZcm6/bz6xV7yS44B8Fv7MiIsTtzWMMLdDn7lXgrR2mPTkDIkgaAciVnKkJgV7Ayp6BGRdrX54FFe+XwP//j+ANUONwBxUWE8m/YRkw8sPdGUoKVd2ERERERaSUWPiAScw+Xmg9wfeOXfe/lqT4nn9iGpsVw3IZPLK14n7JMXO92FQkVERKRzUtEjIgFTUF7NG1/t47Uv93L4aA0AdquFC4encN3EvpyR2QOLxQI5xinXhU1ERESCx2IYhhHsSbjdbsrLy71u6969O1arNUgzqrNhwwZPa72RI0cGdS7SOXXpDB2/wGj1xLtYt6eUpd/s472Nh3C4DG63LaN7uJWKifdw1bgMUuIigz3bTqtLZ0g6jHIkZilDYlYgM9SW2kF7evwwDMPzI9IWnSJDx4sXn4eTrV1Qt9elQavoWqeb7/cdwbm7lIn5L/Dn1dv4g+Myz/LHE1dyZeVSnD+eg33KwI54Bl1ap8iQhDzlSMxShsSsYGdIRY8fUVFRhIWFYbfrZZK26RQZstp8n0dzvLGAa/Ic1ueX8vnOYj7fWcy6vSXHGxJM5nZbMXeFLSEq3MauIbfynxH/oNc3i2DKXOw6JycgOkWGJOQpR2KWMiRmBTtDOrxNJFS0co9LQNV3TpsyF9ekeyh67xF6fbOQZXHX8eCRi6mocXrdPbFbOOOzEpmYlchFxa+Q8NXTYAsHV63vc3VEREREAkSHt4l0ZifZ48KUue320I4f3c2ew+UMyJmPK+dJeuFkoWMmzx2eCjiJiwpjfP8EJvRPZGJ2EgN6xtQ1JADgAfjm2bqCxxaugkdERERCjooekVDhq2Vzw4KnHYqJg0eqeOPrfbz5dT6Hj44nL+J5IixOag07uQN+w9z+iUzISmRIaiw2q8X3IGsXnCh4XLV1v6vwERERkRCiokcklDQsfD55ql0OF3O5DT7ZVshrX+bz8dbDuI8f4Hpv1DtEGE7c1nDC3bW81C8HfnySx21clOkCoyIiIhKCVPT4sW/fPlwuFzabjT59+gR7OtIJtSlDk2efKHgCeLhYQXk1S9bt5/Uv8zlwpMpz+4T+icyLW8GgLW/ClLlYW1q8+NoLpQuMBpy2QxIIypGYpQyJWcHOkIoeP0pKSjz9xPUBl7ZoU4YCeLiYYRh8vrOY177M54PcH3Ae360TFxXGzDG9uXJcBtlbnoec51pfvLhdusBoB9B2SAJBORKzlCExK9gZUtEjEkoCdLhYaWUtb39bt1dnV1Gl5/bTM+K5+sxMLh6ZSmSYre7G3DYWL/46yWkPj4iIiIQQtaz2o7q6GsMwsFgsREbqivLSeq3KUHNNC5q5vdbp5vDRag4cqeLgkSoOldX9//7SKr7YVUyt0w1At3Abl52ezlXjMhmaFtseT1PakbZDEgjKkZilDIlZgcyQWlYHmD7UYlarMtTocLEjx2rZV1LFgcRrSe5fSmXeD7y5/1tPkVNYUYO/P1kMTY3lF+Mz+cnoNGIi9FHvrLQdkkBQjsQsZUjMCnaGtKdHJMQ4XW4eX7WVlz7b7beoAQi3W0mPjyI1LpK0+Ki6n7hIhqXFMTw9tsG1dERERES6Bu3pEenkyo45uG3xt/xrexEAPbtHkBYfRXp8FGnxkaTGRXl+T42PJLFbuAobERERkZNQ0eNHRUUFbrcbq9VKTExMsKcjnVBrMrSjoIJfv7KO3UWVRIXZ+J8rRnHh8NSWPVDO42C1+W4gsHbB8UPn/DQekJCl7ZAEgnIkZilDYlawM6Six4+dO3d6WuuNGjUq2NORTqilGVqTV8Dti7+jvNpJenwUf7n2jNY1HbDafHd5a9gEQTolbYckEJQjMUsZErOCnSEVPSJBZBgGf/t0N4+t3ILbgHF9E3j+F6eTFBPRuoF8XVenuW5wIiIiIqcYFT1+9OzZ03PlWJG28JehGqeLucs3sfSb/QD8fGwf/uunwwm3t7GBR8PC55On6i5sqoKn09N2SAJBORKzlCExK9gZUvc2kSAoKK/mN69+w7f5R7Ba4IFLhnL9xL6BaUrwSHJdwWMLhwcKzY8nIiIiEkLaUju0uqooLy9n9uzZXHDBBSQnJ2OxWJg3b57P+3777becd955xMTEEB8fz4wZM9i1a1drH1Kkc8l5vO7QMl/WLqDgnw/x0//9jG/zjxAbaeflG8dxw1n9AlPwrF1wouBx1TY/DxEREZFTSKuLnuLiYl588UVqamq49NJLm73f1q1bOfvss6mtreWtt97ipZdeYtu2bUyaNInCQv31Wbqw+qYCjQuO4+fYLF53gENl1fRP7sY/bj2LSQOSA/O4Dc/heaCw7r++5iEiIiJyimn1OT2ZmZmUlpZisVgoKirir3/9q8/7Pfjgg0RERLBixQpiY+u6UI0ZM4YBAwbw9NNP8+STT5qbuUio8tFUwL3mSaxrHmOhYybPuS5j8sBknr3yNOKiwgLzmL6aFvhqbiAiIiJyCmp10dOSQ3CcTicrVqzg2muv9RQ8UFcwTZkyheXLl3eKomfz5s2e1npDhw4N9nSkM2lQcLjXLsDqdhwveGbwqx/14/5pQ7BZA3hRUbfLd9OC+t/drsA9lnQobYckEJQjMUsZErOCnaF26d62c+dOqqqqGDlyZJNlI0eO5KOPPqK6uprIyMhmx8jNzSUzM9OraKqpqWHr1q0A9OjRg4yMDK91tm/fzrFjxwCa9P8uKiriwIEDAGRkZNCjRw/PMpfLxaZNm4C6k6D69+8PgMPhwOFw4HQ6Wb9+PQDDhg3Dbj/xsh05coS9e/cCkJaWRnKy96FKGzZswDAMoqKiGDhwoNeyffv2UVJSAsCgQYO8Xo+Kigp27twJ1HW7SE31vkilv+AcOnSIgoICALKysrwuAFVdXU1eXh4ACQkJ9OnTx2vdbdu2UVVVhcViafL+FRYWcvDgQaCugI2Pj/csczqd5ObmAhAbG0u/fv281t21a5fnhLPhw4d7de4oLS0lPz8fgPT0dJKSkrzWrX/to6OjGTBggNey/Px8SktLARg8eDARESdaPR89epTdu3cD0KtXL1JSUrzWzc3Nxel0EhERweDBg72WHTx40HMYZnZ2Nt26dfMsO3bsGNu3bwcgMTGR3r17e62bl5dHdXU1tsRpDLXUFTw1hp0XmMmDUzMZk+Bg08YN9O3bl7i4OM96tbW1bNmyBYC4uDj69u3rNe7OnTupqKgAYMSIEV4n6xWPvIn9+/fD+vX07t2bxMREzzL3pLvZuHEjrF9PTEwMWVlZXuPu2bOHsrIyAIYMGUJ4eLhnWVlZGXv27AEgNTWVnj17eq27adMmXC4XkZGRDBo0yGvZ/v37KS4uBmDAgAFER0d7llVWVrJjxw4AkpOTSUtL81p369at1NTUYLfbGTZsmNeyH374gcOHDwPQr1+/oG4j6u3evZujR48Cgd9G1M+3cc8ZbSNO6LTbCJuN4cOHey0rKCjg0KFDAAHdRtTU1OByuXA4HBQXF3tvI9zuum0EaBvRCbcRHfU9ov47kWEYns+cthFdZxtRXFxc9z0Cmn6PCNA2wuVy4Xa7vdZt6zai/nPaGu1S9NRPMCEhocmyhIQEDMOgtLS0yQewIafT2eQfecMwcDgcnuW+1qlf3pjb7fYsa/yCAz7HDQsLa7Ju4zk1XOZyNf1rev0Gon6shur/AWrruM0914bjNn6uDV9DX+PWv4a+9ui1dNyOeG98jesvL829hk6n02enD3/vTUvGPVJZQ83X/8dwo67gibA4yRn3JdbBoz3/aPpqnNjW97ylr6Gv9Rs+18ZO9lxra2txu90+20+afQ3rPzttHTdUcmh2G1Gv4Zeklo6rbUTobiMcDofPZf7GrV/3ZOP6YrPZPOtoGxFaOews3yPqH99ms1FdXd3suNpG4Ll/Z9pGdMT3iLCwMGw2m1eWzWwjWqtdr9Pj71C4kx0mZ7fbm9zHYrF4XqjGXwDqb/O1UQCwWq2eZb7C6Wvc+r98NPwLTeM5NRzX1xsWFhaGYRg+59vwjW/LuA3/29y4jZ9rw9fQ17j1r6Gv96el43bEe+NrXH95ae41bHifhvy9N/7GLaty8Oamcnpu/hu3W5ew0DGTtak3sGjAWtI/X0BFmJuw9Mt9jtvwuTY3X7Ov4cmea2Mnew3Dw8NxuVwBfQ3r5+l2u1v9uQnFHAZqG5Gdnd3qcRv+t7lxtY3o2G1E/bjNXavC37j16/obt7nXMD093fNXXG0jQiuHneV7RP13ooZ7g7WN6DrbiI74HuFrb7CZbURrmbpOT1FREcnJyTz00ENebavz8vIYPHgwf/zjH7nlllu81rnnnntYuHAhx44d8+yG1XV6pLMrq3Lwf5/t5m+f7uZ6x1vcFbaUv0dcRdLFDzBteCpWq8V3swERERERaZW21A7tsqcnKyuLqKgoz/F/DW3cuJHs7Gy/5/OIdBYNi53y6rrd5smxdvKybufaWY/UFTv11FRAREREJCjapeix2+1Mnz6dZcuWsWDBArp37w7UnSyWk5PDnXfe2R4PK9JhfBU7A3rG8LvzBjBt+DTvYqch7eERERER6XBtKnpWrVpFZWWlZ7fS5s2bWbp0KQDTpk0jOjqahx9+mLFjx3LJJZdw3333UV1dzYMPPkhSUhJ33XVX4J5BOzp06JDnmEp/TRfk1FFW5eDvn+3hb5/u4miTYie1SbGjDIlZypAEgnIkZilDYlawM9Smoufmm2/2tFcEWLJkCUuWLAHqTvrv27cvgwcPZs2aNdx7773MnDkTu93OOeecw9NPP92kHWOoKigo8LRz1Af81NbaYqeeMiRmKUMSCMqRmKUMiVnBzlCbip76ftsnM2bMGFavXt2WhxAJrpzHKa81+DDpWj7bWcRHmw97DmObF7eCif16kP2z+c0fxiYiIiIiIaNdW1Z3dllZWbjdbnWR68xyHgerzfe5NGsX1DUVmHI/AGXHHHy+q5h/7yyib24+N9a+zh7HTpa5ZgB1e3b+N/0jBm15HVLnQgsKHmVIzFKGJBCUIzFLGRKzgp0hFT1+NLxKuXRSVltdm2jwLnyOt4/eO/IO3nh/K5/tKGLTgTLcngbul3DEXstdYUsZ1y8B29n3Mn7/37Cuea5VLaeVITFLGZJAUI7ELGVIzAp2hlT0SNdWX5zkzMflNtiQdRO1Hz/BmXv+zB9cs/jDV+OAnZ67ZyV346zsJM7KTmJ8/wvgq0FMypkPi/8OrlpdY0dERESkEzJ1cdJA0cVJpT0VlFezfcmDnJX/AjWGnQiLk4WOmTznmkFKbCQTsxP5UXYSE7OSSInzcf2oR5LrCh5bODxQ2PFPQEREREQ8QubipF1FdXU1hmFgsVh0MdVOaOP+Mv7vs928u+EgDtdk8iL+RoTFiYMwki95gNVZSWQld8Ni8XNuztoFJwoeV23d763Y06MMiVnKkASCciRmKUNiVrAzpKLHj7y8PE9rvVGjRgV7OtICTpebjzYf5qXPdvP1nlLP7Y8nriSi0olhCyfMVcu1tW9Bz5MUL8fP+/Ec0lb/O7S48FGGxCxlSAJBORKzlCExK9gZUtEjXULZMQdvfJ3PK5/v5cCRKgDsVguXjEzl3uh/kvrtIpgyF0tLi5fGBU/D+7ay8BERERGR4FLR40dCQoLnyrESRH7aThevfIT1e4u59eCFVDlcACR0C+fqMzP4xfhMen33LOT8d+uLF7fLd9OC+t/drhZNXRkSs5QhCQTlSMxShsSsYGdIRY8fffr0CfYUBJq0nXa7DT7ZXkjxyke5vOxlvnPMpMrlYnBKd248qx8/GZ1GZNjxD1Rbi5fj1+7xqRV7eJQhMUsZkkBQjsQsZUjMCnaG1L1NOofjh5t9l3ULdxdMZVrJq9wVtpT/ds5k84CbufFHfZnQP9F/UwIRERER6fTaUjuo6JGO4+cwNdYuOL5Xpukelk0Hylj0xV7S1j/Hb61vedpO56T9mv6XP0xmYrcOmLyIiIiIhAK1rJbQ1ugwNY+GTQOOq6p18e6Gg7z2xV7W7y87fuul/CZyGRGWui5sU256uuPmLiIiIiKdlooeP7Zt24bT6cRutzNw4MBgT6fz89VAoFGXtB0FFbz25V7e/mY/R6udAITZLFwTFrc/AAAY+ElEQVQ0PJV7ot4h/Hsn2MKxtOGaOcGgDIlZypAEgnIkZilDYlawM6Six4+qqipPP3EJkIaFzydPgasW5+Q5vN/jFyx68XO+2FXiuWvvHlFcdWYGPzujD0nfPAM5/2PqmjnBoAyJWcqQBIJyJGYpQ2JWsDOkoscPi8Xi+ZEAmjz7RMFjCWP8Z2MoqvgOAKsFzhnci6vHZzB5QDJWq6VTXzNHGRKzlCEJBOVIzFKGxKxgZ0iNDKTDFb/3CIlfP+1pSLDQMZM3oq/kyrF9uGJcBunxUd4rtLEBgoiIiIh0PereJiGttLKW7xbdzzmH/spCx0yec83gqZ7vM+voK7gmz8E25d5gT1FEREREQpy6t0lIcrjcvPr5XqpWP86tvMlCx0zyBt3M6gsHkd3zYljbB1vO/Lpj20L0MDURERER6bxU9Ei7MQyDNXmFPPLeZnYVVnKH3cErMVcz4Rf/xV3ZSSfuWF/ouF3BmaiIiIiIdGkqevwoLCzE5XJhs9lITk4O9nQ6le2Hy3nkvS18sq0QgMRu4fS84GGuGNsHm9XHCWxddA+PMiRmKUMSCMqRmKUMiVnBzpCKHj8OHjzoaa2nD3jLlFTW8ofV23jty3xcboNwm5UbftSXW6dkExt56rW5VIbELGVIAkE5ErOUITEr2BlS0SOt00wnNYfLzYbX5vLVrgJeqZ4BwNRhvZgzbQiZid2CMVMREREREUBFj1+ZmZm43W51kWvIavO6No5hGOTkFbBn2TxurH2dNY6ZDEmN5YFLhjAxK8n/WKcAZUjMUoYkEJQjMUsZErOCnSEVPX7Ex8cHewqhp8FFQfNLKplbMo3Ru17krrCl/Ml6Bek//T0rzmjmvJ1TkDIkZilDEgjKkZilDIlZwc6QrtMjLeZ0uflydwkrNx6i98bnuNn9pucCo5/0vonTfvEY3U/B83ZEREREpOPo4qQScA6Xm893FrNq0yE+yD1MSWWtZ9m2yGsJx4lhDcfyYGEQZykiIiIipwpdnDTAnE4nhmFgsViw27vYS9VMQwIAZ86T7Csu50/M4sPNhzlyzOFZ1iM6jKnDUvgNbxO+0Qm2cCyuWli7oMu2nTajS2dIOoQyJIGgHIlZypCYFewMKbV+5ObmelrrjRo1KtjTCaxGDQlqnC4+21FEzf97kosK/8Yyx0zecu0H6q6xM3V4ChePSOXMfgnYP30acv4AU+bWFTprF3iNJSd06QxJh1CGJBCUIzFLGRKzgp0hFT2nqsmzcbkNbDnzWbXxELOLLuR6x1vcFbaUhY6ZLI66kmuGp3DRiBTO7Jd4ojFBfYFTX/AcHwtQ4SMiIiIiIUlFjx+xsbE4nc4utRvXMAw2HTjK8u8O8M/1Y7jSMZO7il7iHOMVIsKcfJz6a350/v3c0TfBdwc2t8u74KlX/7vb1f5PohPpihmSjqUMSSAoR2KWMiRmBTtDamRwithXcox3vj/A8u8OsLOw0nN7j+gwvjauwm44MGzhWB5QQwIRERERCV1qZHCq8dOMgLULqKqp5e3Ya/jHdwdYt7fUsyjCbuX8ob247LR0zv7h79jWOtSQQERERES6LBU9nVmjZgQA1Q4X+cvnMXDzs7zgmsUfHJsAsFjgrKwkLj0tnanDetVdT2ftAlj7mBoSiIiIiEiXpqKnM2vQQGBf6TH+1zmDPhuf4zbLWyx0zOQ512UMTY3lstPSmT4qjZS4yBPrqiGBiIiIiJwiVPT4sWvXLs8JV/379w/2dJrYW1zJ27WX0t2+i19//z/8l/EcERYnf7FfiXP8HXwwOp1BKd19r6yGBB0i1DMkoU8ZkkBQjsQsZUjMCnaGVPT4UV5e7ukn3q5Ocm5OXYFyPwBHqx2s3HCIt7/dz9d76s/Tmc51EUuIsDhxW8P55Zw/YfXVea2h4+P5pD08AdNhGZIuSxmSQFCOxCxlSMwKdoZU9IQCH+fmAJ5D0Nxnz+Ff2wp5+5v9fJD7AzVOd91qFvjRgGTuj/4n4VudYAvH6qqFfz2lwkVERERE5Di1rPbD5TpxiJfNZmvfB2t8js3x3z/pfRP3FEzl8NEaz12ze8Ywc0xvLh2dTsr3z/pcz+eha9LhOjRD0iUpQxIIypGYpQyJWYHMkFpWB1iHfqgbNBFwrVmAzXDUNSPYcTZQQ3x0GD8Zlcblp/dmZO84LBaLmhF0AvqHQcxShiQQlCMxSxkSs4KdIRU9IaKq1sWfai/lNuNJwnFQY9j5k3E55w3pycwx6UwZ3JMIe6OwqBmBiIiIiMhJqegJMsMwWLHhEI+v3MLlFa8THubEgZ0Ii5P1U76n2/lzml9ZzQhERERERE5KRY8fpaWluN1urFYrPXr0CPj4uQfLePjdzXy1u4Tbbcu4K2wp24b+lgGz/gs+eYpuOfMh3K4CphNr7wxJ16cMSSAoR2KWMiRmBTtDKnr8yM/P97TWC+SbU1JZy8IP81j8VT5uA+4MX87vrEtx/Ph+Bp5zX92ddG5Ol9BeGZJThzIkgaAciVnKkJgV7Ayp6OlATpebRV/s5b8/2sbRaicAl4xM5YYeGRA9lzCdmyMiIiIiEnAqevxIT0/37IY7qZNcYDS/qJxf5Z/HtsMVAAxJjeWh6UMZ3z8ROL35cbWHp1NrVYZEfFCGJBCUIzFLGRKzgp0hFT1+JCUltfzOzVxgtOz9R4n74imWOGayzVVBj+gw7rpgEFeOy8BmtQR4xhJqWpUhER+UIQkE5UjMUobErGBnSEVPoDQ6B+fYhP/ku1fncNa+F1jomMnzxuVcPzGTO84bQHx0eBAnKiIiIiJyamnX/UsVFRXccccdpKWlERkZyejRo3njjTfa8yHNy3m87qKfvqxdULe8GaVn3MGeEXdAznzsj/XyFDzf9P01K387iXk/GaaCR0RERESkg7Xrnp4ZM2bw9ddf88QTTzBw4EBef/11rrzyStxuN1dddVV7PnTbNXOYWl3BM7/uYqBAebWDTQeOsmH/ETYcKGPj/jLyS44B48iLqLvOTi12hl35KP85LAWLRYeyiYiIiIgEg8UwDKM9Bl65ciUXX3yxp9Cpd8EFF5Cbm0t+fj42mw0At9tNeXm51/rdu3cP3slyxwucQ0N+yYGsq0jZ/hq9817im/63sCjiCjbsP8Kuokp8vXIPdH+XXzoW47KEYTMcdUWSmhGcstavX+9pzzhq1KhgT0c6IWVIAkE5ErOUITErkBlqS+3Qbnt6li9fTkxMDLNmzfK6/YYbbuCqq67iyy+/ZOLEie318OYcL1JSc+aTuOVlwnGy0DGT5zb/CDjguVt6fBQj0uMY2SeOkenxnLH3L0R+uhimzMU2efaJvUMNxhQRERERkY7VbkXPpk2bGDJkCHa790OMHDnSs9xf0ZObm0tmZiaxsbGe22pqati6dSsAPXr0ICMjw2ud7du3c+zYMYAmFWRRUREHDtQVLBkZGV4XRXK5XGzatAmoqxL79+8Pk2fjWrOAcMNBjWHn1bCZjO0VzsTB6YzOSGBE7ziSYiI4cuQIe/fupee3zxO55W/ee3Ymz+aHH34gJWc+RUVFJF3ufa7Qvn37KCkpAWDQoEFERkZ6llVUVLBz504AevbsSWpqqte6mzdv9lTLQ4cO9Vp26NAhCgoKAMjKyiImJsazrLq6mry8PAASEhLo06eP17rbtm2jqqoKi8Xiea/qFRYWcvDgQQAyMzOJj4/3LHM6neTm5gIQGxtLv379vNbdtWuXpyIfPny4Zy8f1F2hNz8/H6hrZ9i4u8f69esBiI6OZsCAAV7L8vPzKS0tBWDw4MFERER4lh09epTdu3cD0KtXL1JSUrzWzc3Nxel0EhERweDBg72WHTx4kMLCQgCys7Pp1q2bZ9mxY8fYvn07AImJifTu3dtr3by8PKqrq7HZbERHR+N0Oj2fg4KCAg4dOgRA3759iYuL86xXW1vLli1bAIiLi6Nv375e4+7cuZOKirqW5yNGjPD6a0ZxcTH79+8HoHfv3iQmJnqWud1uNm7cCEBMTAxZWVle4+7Zs4eysjIAhgwZQnj4ifPOysrK2LNnDwCpqan07NnTa91NmzbhcrmIjIxk0KBBXsv2799PcXExAAMGDCA6OtqzrLKykh07dgCQnJxMWlqa17pbt26lpqYGu93OsGHDvJb98MMPHD58GIB+/foFbxvRwO7duzl69CgAw4YN89ru1W8jANLS0khOTvZad8OGDRiGQVRUFAMHDvRatm/fPpxOJxaLxSvboG1EQ515GzF8+HCvZe21jbDb7TidTpxOJ8XFxdpG0HW2ER31PaL+3zOLxeL5zGkb0XW2ER3xPcJmsxEeHu6V/7ZuI+o/p63RbkVPcXFxkw891H1A6pf743Q6aXzknWEYOBwOz3Jf69Qvb8ztdnuWud3uJsubjLt2ATbDgdsaRoTbwYqB7/PDwGsYNSqLsLCwJuMaTgflY39L90Z7dA5kX43L5SLc1XS+LpfL87iNn2vD+bpcTS9O6nA4mn2uDcdt/Fwbvoa+xq1/DX2dg9TScdv9vWlmXH95ae41dDqdPneF+ntvWjKuw+HA5XI12Vj5G7fhc23te97S19DX+g3n1NjJnmttbS1ut9vrHx9f47b1NfT1GrV03FDJYUs+y4ZheG1X6rlcLs94mZmZrR5X24jQ30a0Ztz6dU82ri89e/b0fLHWNiK0cmh2G9FR3yPqi4WqqipPcaJtRNfZRnTE9whfxbeZbURrtWsjA38n75/sxH673d7kPhaLxfOhb7wHqf42XxsFAKvV6lnmK5xe4zZoWmCdPJvSf9xP7++fx2azYRk92ue4hcN/RVhaGt19jFs07EaioqJIbrTMZrN5Hrfxc204X19BqF/m6/k2HLfxc234Gvoat/419PX+tHTcdn1v/IzrLy/NvYYN79OQv/emJeO6XC6fy/yNW7+uv3HNvoYne66Nney5hoeH43K52uU1dLvdPt/zlo4bKjlsyWfZMIxWP1dtI07QNuLEMm0jtI1ozbgN/9vcuNpGaBvRcNxQ2ka0Vrs1MpgwYQIul4uvvvrK6/bc3FyGDx/OCy+8wE033QSEWCODhl3amuvepvNzRERERESCIqQaGYwYMYLFixd7nc8AeI4JbHzYT8hwu3wXNvW/u5vuLhQRERERkdDVbnt6Vq1axbRp03jjjTe44oorPLdfdNFFbNiwIbRbVh+Xn5/vKdoan+wo0hLKkJilDEkgKEdiljIkZgUyQyG1p+eiiy7i/PPP5+abb+bo0aNkZ2ezePFi3n//fRYtWuTzuL5QU1pa6ulsog+4tIUyJGYpQxIIypGYpQyJWcHOULs2Mli2bBlz587lwQcfpKSkhMGDB7N48WJ+/vOft+fDioiIiIiIeLTb4W2tEaqHt9XU1GAYhs9rZIi0hDIkZilDEgjKkZilDIlZgcxQSB3e1hXoQy1mKUNiljIkgaAciVnKkJgV7AwFd1eKiIiIiIhIO1PRIyIiIiIiXVpIHN7m67Qit9sdhJl4a3isYPfu3YM4E+mslCExSxmSQFCOxCxlSMwKZIZ81Qkna1MQEo0MnE4nlZWVwZ6GiIiIiIh0Qt26dcNub35/jg5vExERERGRLk1Fj4iIiIiIdGkqekREREREpEsLiXN63G53kxOSLBYLFoslSDMSEREREZFQZBhGk8YFVqvV78VJQ6LoERERERERaS86vE1ERERERLo0FT0iIiIiItKlqejxoaKigjvuuIO0tDQiIyMZPXo0b7zxRrCnJSGovLyc2bNnc8EFF5CcnIzFYmHevHk+7/vtt99y3nnnERMTQ3x8PDNmzGDXrl0dO2EJOR9//DE33ngjgwcPplu3bqSnp/PTn/6Ub775psl9lSHx5fvvv+fiiy8mIyODqKgoEhISmDBhAosWLWpyX2VIWuqvf/0rFouFmJiYJsuUI/FlzZo1nnPyG/988cUXXvddvXo1EyZMIDo6mqSkJK6//noKCgradX4qenyYMWMGL7/8Mg899BCrVq1i7NixXHnllbz++uvBnpqEmOLiYl588UVqamq49NJLm73f1q1bOfvss6mtreWtt97ipZdeYtu2bUyaNInCwsIOnLGEmj/96U/s2bOH3/3ud6xcuZJnnnmGgoICxo8fz8cff+y5nzIkzTly5Ah9+vThscceY+XKlbzyyiv07duXa665hkcffdRzP2VIWurAgQPcfffdpKWlNVmmHMnJPPbYY3z++edeP8OHD/csX7t2LRdddBG9evXinXfe4ZlnnmH16tWce+651NTUtN/EDPHy3nvvGYDx+uuve91+/vnnG2lpaYbT6QzSzCQUud1uw+12G4ZhGIWFhQZgPPTQQ03uN2vWLCMpKckoKyvz3LZnzx4jLCzMmD17dkdNV0LQ4cOHm9xWXl5u9OrVyzj33HM9tylD0lpnnnmm0adPH8/vypC01CWXXGJMnz7duO6664xu3bp5LVOOpDk5OTkGYCxZssTv/caOHWsMHTrUcDgcnts+++wzAzCef/75dpuf9vQ0snz5cmJiYpg1a5bX7TfccAMHDx7kyy+/DNLMJBS1pLW60+lkxYoVXH755cTGxnpuz8zMZMqUKSxfvry9pykhrGfPnk1ui4mJYejQoezbtw9QhqRtkpKSsNvtgDIkLbdo0SLWrl3L888/32SZciRmHThwgK+//pprrrnGs30CmDhxIgMHDmzXDKnoaWTTpk0MGTLE640AGDlypGe5SGvs3LmTqqoqT4YaGjlyJDt27KC6ujoIM5NQVVZWxrfffsuwYcMAZUhaxu1243Q6KSws5Pnnn+eDDz7g3nvvBZQhaZmCggLuuOMOnnjiCXr37t1kuXIkLXHrrbdit9uJjY1l6tSpfPrpp55l9d+jm8tQe37PVtHTSHFxMQkJCU1ur7+tuLi4o6cknVx9ZprLlWEYlJaWdvS0JITdeuutVFZWMnfuXEAZkpa55ZZbCAsLo2fPntx55508++yz/Md//AegDEnL3HLLLQwaNIibb77Z53LlSPyJi4vjd7/7HS+88AI5OTk888wz7Nu3j7PPPpsPPvgAOHmG2vN7tv3kdzn1+Dtc6WSHMok0R7mSlnjggQd47bXXeO655xgzZozXMmVI/JkzZw6/+tWvKCgo4N133+W2226jsrKSu+++23MfZUia8/bbb/Puu+/y3XffnTQLypH4ctppp3Haaad5fp80aRKXXXYZI0aMYPbs2UydOtWzrLmctGd+VPQ0kpiY6LPKLCkpAXxXpiL+JCYmAr73EpaUlGCxWIiPj+/oaUkIevjhh3n00UeZP38+t912m+d2ZUhaIiMjg4yMDACmTZsGwP333891112nDIlfFRUV3Hrrrdx+++2kpaVx5MgRAGpra4G6DoFhYWHKkbRafHw8l1xyCX/+85+pqqo6aYba83u2Dm9rZMSIEWzZsgWn0+l1+8aNGwG8Wu6JtERWVhZRUVGeDDW0ceNGsrOziYyMDMLMJJQ8/PDDzJs3j3nz5jFnzhyvZcqQtMW4ceNwOp3s2rVLGRK/ioqKOHz4MAsXLqRHjx6en8WLF1NZWUmPHj24+uqrlSNpE8MwgLq9OPXfo5vLUHt+z1bR08hll11GRUUFb7/9ttftL7/8MmlpaZx55plBmpl0Vna7nenTp7Ns2TLKy8s9t+fn55OTk8OMGTOCODsJBY888gjz5s3j97//PQ899FCT5cqQtEVOTg5Wq5X+/fsrQ+JXSkoKOTk5TX6mTp1KZGQkOTk5PProo8qRtFppaSkrVqxg9OjRREZGkp6ezrhx41i0aBEul8tzvy+++IK8vLx2zZDFqC+/xOOCCy5g3bp1PPnkk2RnZ7N48WL+8pe/sGjRIq6++upgT09CzKpVq6isrKS8vJwbb7yRWbNm8bOf/QyoO8QkOjqarVu3MnbsWE4//XTuu+8+qqurefDBBykpKeH7778nOTk5yM9CgmXhwoXcfffdXHjhhT4LnvHjxwMoQ9Ksm266idjYWMaNG0evXr0oKipiyZIlvPnmm9xzzz0sWLAAUIak9a6//nqWLl1KRUWF5zblSJpz1VVXkZGRwRlnnEFSUhLbt29n4cKF7Ny5k1WrVnHeeecBsGbNGs4//3ymT5/OLbfcQkFBAffddx9xcXGsW7eOiIiI9plgu10BqBMrLy83fvvb3xopKSlGeHi4MXLkSGPx4sXBnpaEqMzMTAPw+bN7927P/datW2ece+65RnR0tBEbG2tceumlxo4dO4I3cQkJkydPbjY/jTfRypD48tJLLxmTJk0ykpKSDLvdbsTHxxuTJ082Xn311Sb3VYakNXxdnNQwlCPx7fHHHzdGjx5txMXFGTabzUhOTjYuu+wy46uvvmpy3w8//NAYP368ERkZaSQkJBjXXnutz4t1B5L29IiIiIiISJemc3pERERERKRLU9EjIiIiIiJdmooeERERERHp0lT0iIiIiIhIl6aiR0REREREujQVPSIiIiIi0qWp6BERERERkS5NRY+IiIiIiHRpKnpERERERKRLU9EjIiIiIiJdmooeERERERHp0v4/TAKzQNvuazwAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from numpy.random import randn\n",
"from filterpy.kalman import UnscentedKalmanFilter\n",
"from filterpy.common import Q_discrete_white_noise\n",
"\n",
"ukf = UnscentedKalmanFilter(dim_x=2, dim_z=1, dt=1., hx=hx, fx=fx, points=sigmas)\n",
"ukf.P *= 10\n",
"ukf.R *= .5\n",
"ukf.Q = Q_discrete_white_noise(2, dt=1., var=0.03)\n",
"\n",
"zs, xs = [], []\n",
"for i in range(50):\n",
" z = i + randn()*.5\n",
" ukf.predict()\n",
" ukf.update(z)\n",
" xs.append(ukf.x[0])\n",
" zs.append(z)\n",
" \n",
"plt.plot(xs);\n",
"plt.plot(zs, marker='x', ls='');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There really isn't a lot new here. You have to create an object that creates sigma points for you, and provide functions instead of matrices for $\\mathbf F$ and $\\mathbf H$, but the rest is the same as before. This should give you enough confidence to plow through a bit of math and algorithms so you can understand what the UKF is doing."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Choosing Sigma Points\n",
"\n",
"At the start of the chapter I used 500,000 randomly generated sigma points to compute the the probability distribution of a Gaussian passed through a nonlinear function. While the computed mean is quite accurate, computing 500,000 points for every update would cause our filter to be extremely slow. So, what would be fewest number of sampled points that we can use, and what kinds of constraints does this problem formulation put on the points? We will assume that we have no special knowledge about the nonlinear function as we want to find a generalized algorithm that works for any function.\n",
"\n",
"Let's consider the simplest possible case and see if it offers any insight. The simplest possible system is the **identity function**: $f(x) = x$. If our algorithm does not work for the identity function then the filter cannot converge. In other words, if the input is 1 (for a one dimensional system), the output must also be 1. If the output was different, such as 1.1, then when we fed 1.1 into the transform at the next time step, we'd get out yet another number, maybe 1.23. This filter diverges. \n",
"\n",
"The fewest number of points that we can use is one per dimension. This is the number that the linear Kalman filter uses. The input to a Kalman filter for the distribution $\\mathcal{N}(\\mu,\\sigma^2)$ is $\\mu$ itself. So while this works for the linear case, it is not a good answer for the nonlinear case.\n",
"\n",
"Perhaps we can use one point per dimension, but altered somehow. However, if we were to pass some value $\\mu+\\Delta$ into the identity function $f(x)=x$ it would not converge, so this will not work. If we didn't alter $\\mu$ then this would be the standard Kalman filter. We must conclude that one sample will not work.\n",
"\n",
"What is the next lowest number we can choose? Two. Consider the fact that Gaussians are symmetric, and that we probably want to always have one of our sample points be the mean of the input for the identity function to work. Two points would require us to select the mean, and then one other point. That one other point would introduce an asymmetry in our input that we probably don't want. It would be very difficult to make this work for the identity function $f(x)=x$.\n",
"\n",
"The next lowest number is 3 points. 3 points allows us to select the mean, and then one point on each side of the mean, as depicted on the chart below."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ukf_internal.show_3_sigma_points()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can pass these points through a nonlinear function f(x) and compute the resulting mean and variance. The mean can be computed as the average of the 3 points, but that is not very general. For example, for a very nonlinear problem we might want to weight the center point much higher than the outside points, or we might want to weight the outside points higher. \n",
"\n",
"A more general approach is to compute the weighted mean $\\mu = \\sum_i w_i\\, f(\\mathcal{X}_i)$, where the calligraphic $\\mathcal{X}$ are the sigma points. We need the sums of the weights to equal one. Given that requirement, our task is to select $\\mathcal{X}$ and their corresponding weights so that they compute to the mean and variance of the transformed sigma points. \n",
"\n",
"If we weight the means it also makes sense to weight the covariances. It is possible to use different weights for the mean ($w^m$) and for the covariance ($w^c$). I use superscripts to allow space for indexes in the following equations. We can write\n",
"\n",
"$$\\begin{aligned}\n",
"\\mathbf{Constraints:}\\\\\n",
"1 &= \\sum_i{w_i^m} \\\\\n",
"1 &= \\sum_i{w_i^c} \\\\\n",
"\\mu &= \\sum_i w_i^mf(\\mathcal{X}_i) \\\\\n",
"\\Sigma &= \\sum_i w_i^c{(f(\\mathcal{X})_i-\\mu)(f(\\mathcal{X})_i-\\mu)^\\mathsf{T}}\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"The first two equations are the constraint that the weights must sum to one. The third equation is how you compute a weight mean. The forth equation may be less familiar, but recall that the equation for the covariance of two random variables is:\n",
"\n",
"$$COV(x,y) = \\frac{\\sum(x-\\bar x)(y-\\bar{y})}{n}$$\n",
"\n",
"These constraints do not form a unique solution. For example, if you make $w^m_0$ smaller you can compensate by making $w^m_1$ and $w^m_2$ larger. You can use different weights for the mean and covariances, or the same weights. Indeed, these equations do not require that any of the points be the mean of the input at all, though it seems 'nice' to do so, so to speak.\n",
"\n",
"We want an algorithm that satisfies the constraints, preferably with only 3 points per dimension. Before we go on I want to make sure the idea is clear. Below are three different examples for the same covariance ellipse with different sigma points. The size of the sigma points is proportional to the weight given to each."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ukf_internal.show_sigma_selections()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The points do not lie along the major and minor axis of the ellipse; nothing in the constraints require me to do that. I show the points evenly spaced, but the constraints do not require that. \n",
"\n",
"The arrangement and weighting of the sigma points affect how we sample the distribution. Points that are close together will sample local effects, and thus probably work better for very nonlinear problems. Points that are far apart, or far off the axis of the ellipse will sample non-local effects and non Gaussian behavior. However, by varying the weights used for each point we can mitigate this. If the points are far from the mean but weighted very slightly we will incorporate some of the knowledge about the distribution without allowing the nonlinearity of the problem to create a bad estimate. \n",
"\n",
"Please understand there are infinite ways to select sigma points. The constraints I choose are just one way to do it. For example, not all algorithms for creating the sigma points require the weights to sum to one. In fact, the algorithm I favor in this book does not have that property."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Unscented Transform\n",
"\n",
"For the moment, assume an algorithm for selecting the sigma points and weights exists. How are the sigma points used to implement a filter?\n",
"\n",
"The *unscented transform* is the core of the algorithm yet it is remarkably simple. It passes the sigma points $\\boldsymbol{\\chi}$ through a nonlinear function yielding a transformed set of points. \n",
"\n",
"$$\\boldsymbol{\\mathcal{Y}} = f(\\boldsymbol{\\chi})$$\n",
"\n",
"It then computes the mean and covariance of the transformed points. That mean and covariance becomes the new estimate. The figure below depicts the operation of the unscented transform. The green ellipse on the right represents the computed mean and covariance to the transformed sigma points. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ukf_internal.show_sigma_transform(with_text=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The mean and covariance of the sigma points are computed as:\n",
"\n",
"$$\\begin{aligned}\n",
"\\mu &= \\sum_{i=0}^{2n} w^m_i\\boldsymbol{\\mathcal{Y}}_i \\\\\n",
"\\Sigma &= \\sum_{i=0}^{2n} w^c_i{(\\boldsymbol{\\mathcal{Y}}_i-\\mu)(\\boldsymbol{\\mathcal{Y}}_i-\\mu)^\\mathsf{T}}\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"These equations should be familar - they are the constraint equations we developed above. \n",
"\n",
"In short, the unscented transform takes points sampled from some arbitary probability distribution, passes them through an arbitrary, nonlinear function and produces a Gaussian for each transformed points. I hope you can envision how we can use this to implement a nonlinear Kalman filter. Once we have Gaussians all of the mathematical apparatus we have already developed comes into play!\n",
"\n",
"The name \"unscented\" might be confusing. It doesn't really mean much. It was a joke fostered by the inventor that his algorithm didn't \"stink\", and soon the name stuck. There is no mathematical meaning to the term."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Accuracy of the Unscented Transform\n",
"\n",
"Earlier we wrote a function that found the mean of a distribution by passing 50,000 points through a nonlinear function. Let's now pass 5 sigma points through the same function, and compute their mean with the unscented transform. We will use the FilterPy function *MerweScaledSigmaPoints()* to create the sigma points and `unscented_transform` to perform the transform; we will learn about these functions later. In the first example in this chapter I used `JulierSigmaPoints`; they both choose sigma points, but in different ways which I will explain later."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Difference in mean x=-0.097, y=0.549\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from filterpy.kalman import unscented_transform, MerweScaledSigmaPoints\n",
"import scipy.stats as stats\n",
"\n",
"\n",
"#initial mean and covariance\n",
"mean = (0., 0.)\n",
"p = np.array([[32., 15], [15., 40.]])\n",
"\n",
"# create sigma points and weights\n",
"points = MerweScaledSigmaPoints(n=2, alpha=.3, beta=2., kappa=.1)\n",
"sigmas = points.sigma_points(mean, p)\n",
"\n",
"### pass through nonlinear function\n",
"sigmas_f = np.empty((5, 2))\n",
"for i in range(5):\n",
" sigmas_f[i] = f_nonlinear_xy(sigmas[i, 0], sigmas[i ,1])\n",
"\n",
"### use unscented transform to get new mean and covariance\n",
"ukf_mean, ukf_cov = unscented_transform(sigmas_f, points.Wm, points.Wc)\n",
"\n",
"#generate random points\n",
"np.random.seed(100)\n",
"xs, ys = multivariate_normal(mean=mean, cov=p, size=5000).T\n",
"\n",
"plot_monte_carlo_mean(xs, ys, f_nonlinear_xy, ukf_mean, 'Unscented Mean')\n",
"ax = plt.gcf().axes[0]\n",
"ax.scatter(sigmas[:,0], sigmas[:,1], c='r', s=30);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I find this result remarkable. Using only 5 points we were able to compute the mean with amazing accuracy. The error in x is only -0.097, and the error in y is 0.549. In contrast, a linearized approach (used by the EKF, which we will learn in the next chapter) gave an error of over 43 in y. If you look at the code that generates the sigma points you'll see that it has no knowledge of the nonlinear function, only of the mean and covariance of our initial distribution. The same 5 sigma points would be generated if we had a completely different nonlinear function. \n",
"\n",
"I will admit to choosing a nonlinear function that makes the performance of the unscented tranform striking compared to the EKF. But the physical world is filled with very nonlinear behavior, and the UKF takes it in stride. I did not 'work' to find a function where the unscented transform happened to work well. You will see in the next chapter how more traditional techniques struggle with strong nonlinearities. This graph is the foundation of why I advise you to use the UKF or similar modern technique whenever possible."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Unscented Kalman Filter\n",
"\n",
"We can now present the UKF algorithm. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Predict Step\n",
"\n",
"The UKF's predict step computes the prior using the process model $f()$. $f()$ is assumed to be nonlinear, so we generate sigma points $\\mathcal{X}$ and their corresponding weights $W^m, W^c$\n",
"according to some function:\n",
"\n",
"$$\\begin{aligned}\n",
"\\boldsymbol\\chi &= \\text{sigma-function}(\\mathbf x, \\mathbf P) \\\\\n",
"W^m, W^c &= \\text{weight-function}(\\mathtt{n, parameters})\\end{aligned}$$\n",
"\n",
"We pass each sigma point through $f(\\mathbf x, \\Delta t)$. This projects the sigma points forward in time according to the process model, forming the new prior, which is a set of sigma points we name $\\boldsymbol{\\mathcal Y}$:\n",
"\n",
"$$\\boldsymbol{\\mathcal{Y}} = f(\\boldsymbol{\\chi}, \\Delta t)$$\n",
"\n",
"We compute the mean and covariance of the prior using the *unscented transform* on the transformed sigma points. \n",
"\n",
"$$\\mathbf{\\bar x}, \\mathbf{\\bar P} = \n",
"UT(\\mathcal{Y}, w_m, w_c, \\mathbf Q)$$\n",
"\n",
"These are the equations for the unscented transform:\n",
"\n",
"$$\\begin{aligned}\n",
"\\mathbf{\\bar x} &= \\sum_{i=0}^{2n} w^m_i\\boldsymbol{\\mathcal Y}_i \\\\\n",
"\\mathbf{\\bar P} &= \\sum_{i=0}^{2n} w^c_i({\\boldsymbol{\\mathcal Y}_i - \\mathbf{\\bar x})(\\boldsymbol{\\mathcal Y}_i-\\mathbf{\\bar x})^\\mathsf{T}} + \\mathbf Q\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"This table compares the linear Kalman filter with the Unscented Kalman Filter equations. I've dropped the subscript $i$ for readability.\n",
"\n",
"$$\\begin{array}{l|l}\n",
"\\text{Kalman} & \\text{Unscented} \\\\\n",
"\\hline \n",
"& \\boldsymbol{\\mathcal Y} = f(\\boldsymbol\\chi) \\\\\n",
"\\mathbf{\\bar x} = \\mathbf{Fx} & \n",
"\\mathbf{\\bar x} = \\sum w^m\\boldsymbol{\\mathcal Y} \\\\\n",
"\\mathbf{\\bar P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q & \n",
"\\mathbf{\\bar P} = \\sum w^c({\\boldsymbol{\\mathcal Y} - \\mathbf{\\bar x})(\\boldsymbol{\\mathcal Y} - \\mathbf{\\bar x})^\\mathsf T}+\\mathbf Q\n",
"\\end{array}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Update Step\n",
"\n",
"Kalman filters perform the update in measurement space. Thus we must convert the sigma points of the prior into measurements using a measurement function $h(x)$ that you define.\n",
"\n",
"$$\\boldsymbol{\\mathcal{Z}} = h(\\boldsymbol{\\mathcal{Y}})$$\n",
"\n",
"We compute the mean and covariance of these points using the unscented transform. The $z$ subscript denotes that these are the mean and covariance of the measurement sigma points.\n",
"\n",
"$$\\begin{aligned}\n",
"\\boldsymbol\\mu_z, \\mathbf P_z &= \n",
"UT(\\boldsymbol{\\mathcal Z}, w_m, w_c, \\mathbf R) \\\\\n",
"\\boldsymbol\\mu_z &= \\sum_{i=0}^{2n} w^m_i\\boldsymbol{\\mathcal Z}_i \\\\\n",
"\\mathbf P_z &= \\sum_{i=0}^{2n} w^c_i{(\\boldsymbol{\\mathcal Z}_i-\\boldsymbol{\\mu}_z)(\\boldsymbol{\\mathcal Z}_i-\\boldsymbol{\\mu}_z)^\\mathsf T} + \\mathbf R\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"Next we compute the residual and Kalman gain. The residual of the measurement $\\mathbf z$ is trivial to compute:\n",
"\n",
"$$\\mathbf y = \\mathbf z - \\boldsymbol\\mu_z$$\n",
"\n",
"To compute the Kalman gain we first compute the [cross covariance](https://en.wikipedia.org/wiki/Cross-covariance) of the state and the measurements, which is defined as: \n",
"\n",
"$$\\mathbf P_{xz} =\\sum_{i=0}^{2n} w^c_i(\\boldsymbol{\\mathcal Y}_i-\\mathbf{\\bar x})(\\boldsymbol{\\mathcal Z}_i-\\boldsymbol\\mu_z)^\\mathsf T$$\n",
"\n",
"And then the Kalman gain is defined as\n",
"\n",
"$$\\mathbf{K} = \\mathbf P_{xz} \\mathbf P_z^{-1}$$\n",
"\n",
"If you think of the inverse as a *kind of* matrix reciprocal, you can see that the Kalman gain is a simple ratio which computes:\n",
"\n",
"$$\\mathbf{K} \\approx \\frac{\\mathbf P_{xz}}{\\mathbf P_z} \n",
"\\approx \\frac{\\text{belief in state}}{\\text{belief in measurement}}$$\n",
"\n",
"Finally, we compute the new state estimate using the residual and Kalman gain:\n",
"\n",
"$$\\mathbf x = \\bar{\\mathbf x} + \\mathbf{Ky}$$\n",
"\n",
"and the new covariance is computed as:\n",
"\n",
"$$ \\mathbf P = \\mathbf{\\bar P} - \\mathbf{KP_z}\\mathbf{K}^\\mathsf{T}$$\n",
"\n",
"This step contains a few equations you have to take on faith, but you should be able to see how they relate to the linear Kalman filter equations. The linear algebra is slightly different from the linear Kalman filter, but the algorithm is the same Bayesian algorithm we have been implementing throughout the book. \n",
"\n",
"This table compares the equations of the linear KF and UKF equations.\n",
"\n",
"$$\\begin{array}{l|l}\n",
"\\textrm{Kalman Filter} & \\textrm{Unscented Kalman Filter} \\\\\n",
"\\hline \n",
"& \\boldsymbol{\\mathcal Y} = f(\\boldsymbol\\chi) \\\\\n",
"\\mathbf{\\bar x} = \\mathbf{Fx} & \n",
"\\mathbf{\\bar x} = \\sum w^m\\boldsymbol{\\mathcal Y} \\\\\n",
"\\mathbf{\\bar P} = \\mathbf{FPF}^\\mathsf T+\\mathbf Q & \n",
"\\mathbf{\\bar P} = \\sum w^c({\\boldsymbol{\\mathcal Y} - \\mathbf{\\bar x})(\\boldsymbol{\\mathcal Y} - \\mathbf{\\bar x})^\\mathsf T}+\\mathbf Q \\\\\n",
"\\hline \n",
"& \\boldsymbol{\\mathcal Z} = h(\\boldsymbol{\\mathcal{Y}}) \\\\\n",
"& \\boldsymbol\\mu_z = \\sum w^m\\boldsymbol{\\mathcal{Z}} \\\\\n",
"\\mathbf y = \\mathbf z - \\mathbf{Hx} &\n",
"\\mathbf y = \\mathbf z - \\boldsymbol\\mu_z \\\\\n",
"\\mathbf S = \\mathbf{H\\bar PH}^\\mathsf{T} + \\mathbf R & \n",
"\\mathbf P_z = \\sum w^c{(\\boldsymbol{\\mathcal Z}-\\boldsymbol\\mu_z)(\\boldsymbol{\\mathcal{Z}}-\\boldsymbol\\mu_z)^\\mathsf{T}} + \\mathbf R \\\\ \n",
"\\mathbf K = \\mathbf{\\bar PH}^\\mathsf T \\mathbf S^{-1} &\n",
"\\mathbf K = \\left[\\sum w^c(\\boldsymbol{\\mathcal Y}-\\bar{\\mathbf x})(\\boldsymbol{\\mathcal{Z}}-\\boldsymbol\\mu_z)^\\mathsf{T}\\right] \\mathbf P_z^{-1} \\\\\n",
"\\mathbf x = \\mathbf{\\bar x} + \\mathbf{Ky} & \\mathbf x = \\mathbf{\\bar x} + \\mathbf{Ky}\\\\\n",
"\\mathbf P = (\\mathbf{I}-\\mathbf{KH})\\mathbf{\\bar P} & \\mathbf P = \\bar{\\mathbf P} - \\mathbf{KP_z}\\mathbf{K}^\\mathsf{T}\n",
"\\end{array}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Van der Merwe's Scaled Sigma Point Algorithm\n",
"\n",
"There are many algorithms for selecting sigma points. Since 2005 or so research and industry have mostly settled on the version published by Rudolph Van der Merwe in his 2004 PhD dissertation [1]. It performs well with a variety of problems and it has a good tradeoff between performance and accuracy. It is a slight reformulation of the *Scaled Unscented Transform* published by Simon J. Julier [2].\n",
"\n",
"This formulation uses 3 parameters to control how the sigma points are distributed and weighted: $\\alpha$, $\\beta$, and $\\kappa$. Before we work through the equations, let's look at an example. I will plot the sigma points on top of a covariance ellipse showing the first and second standard deviations, and scale the points based on the mean weights."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
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