Removed warning that chapter cannot be read.
Code is working well now.
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**author's note: this chapter is in heavy development - read it if you want, but there are bugs in the sw, a lot of stuff if being revised, text may not match the plots, etc**\n",
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"\n",
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"So far we have considered the problem of tracking objects that are well behaved in relation to our process model. For example, we can use a constant velocity model track an object moving in a straight line. So long as the object moves in a straight line at a reasonably constant speed, or varies it's track and/or velocity very slowly this filter will perform very well. Suppose instead that we are trying to track a maneuvering target, by which I mean an object with control inputs, such as a car along a road, an aircraft in flight, and so on. In these situations the filters perform quite poorly. Alternatively, consider a situation such as tracking a sailboat in the ocean. Even if we model the control inputs we have no way to model the wind or the ocean currents. \n",
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"\n",
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"A first order approach to this problem is just to make the process noise $\\mathbf{Q}$ larger to account for the unpredictability of the system dynamics. While this can *work* in the sense of providing a non-diverging filter, the result is typically far from optimal. The larger $\\mathbf{Q}$ results in the filter giving more emphasis to the noise in the measurements. We will see an example of this shortly.\n",
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