diff --git a/.gitignore b/.gitignore index 9553508..19fd991 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,6 @@ +# test document not for distribution +short.pdf + # Byte-compiled / optimized / DLL files __pycache__/ *.py[cod] diff --git a/05_Kalman_Filters/Kalman_Filters.ipynb b/05_Kalman_Filters/Kalman_Filters.ipynb index 9c4a015..0ed555c 100644 --- a/05_Kalman_Filters/Kalman_Filters.ipynb +++ b/05_Kalman_Filters/Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:2ead90ce1b4a67e39b677b6425cac07822bea68fe52acd7383dfb277392ba6ec" + "signature": "sha256:b01859212b570d5ecf1bb56f51a3f9aad5c617170e84aa4e71d3cb44fae8051f" }, "nbformat": 3, "nbformat_minor": 0, @@ -259,7 +259,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -296,7 +296,7 @@ "\n", "Naturally, the sensor is not perfect. A reading of 23.4 could correspond to a real position of 23.7, or 23.0. However, it is very unlikely to correspond to a real position of say 47.6. Testing during the hackathon confirmed this result - the sensor is reasonably accurate, and while it had errors, the errors are small. Furthermore, the errors seemed to be evenly distributed on both sides of the measurement; a true position of 23m would be equally likely to be measured as 22.9 as 23.1.\n", "\n", - "Implementing and/or robustly modeling an RFID system is beyond the scope of this book, so we will write a very simple model. We will start with a simulation of the dog moving from left to right at a constant speed with some random noise added. " + "Implementing and/or robustly modeling an RFID system is beyond the scope of this book, so we will write a very simple model. We will start with a simulation of the dog moving from left to right at a constant speed with some random noise added. We will talk about this in great detail later, but we need to model two kinds of noise. The *process noise* is the noise in the physical process. Something moving at a notionally 'constant' velocity will never maintain a perfectly constant velocity. Undulations on the ground, wind, and a host of other factors mean that there will always be slight variations in the velocity. The second noise we want to model is the noise in the measurement as no measurement is perfect." ] }, { @@ -310,29 +310,37 @@ "\n", "class DogSensor(object):\n", " \n", - " def __init__(self, x0=0, velocity=1, variance=0.0):\n", + " def __init__(self, x0=0, velocity=1, \n", + " measurement_variance=0.0, process_variance=0.0):\n", " \"\"\" x0 - initial position\n", " velocity - (+=right, -=left)\n", - " variance - variance in measurement\n", + " measurement_variance - variance in measurement\n", + " process_variance - variance in process (m/s)^2\n", " \"\"\"\n", " self.x = x0\n", " self.velocity = velocity\n", - " self.noise = math.sqrt(variance)\n", + " self.noise = math.sqrt(measurement_variance)\n", + " self.pnoise = math.sqrt(process_variance)\n", + " self.constant_vel = velocity\n", "\n", " def sense_position(self):\n", + " pnoise = abs(random.rand() * self.pnoise)\n", + " if self.velocity > self.constant_vel:\n", + " pnoise = -pnoise\n", + " self.velocity += pnoise\n", " self.x = self.x + self.velocity\n", " return self.x + random.randn() * self.noise" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 2 + "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The constructor `_init()__` initializes the DogSensor class with an initial position `x0`, velocity `vel`, and an noise scaling factor. The `sense_position()` function has the dog move by the set velocity and returns its new position, with noise added. If you look at the code for `sense_position()` you will see a call to `numpy.random.randn()`. This returns a number sampled from a normal distribution with a mean of 0.0. and a standard deviation of 1.0. *Variance* is defined as the standard deviation squared, so in `__init()__` we take the square root of the variance to get the standard deviation. Therefore the expression `self.x + random.randn() * self.noise` computes a number with the variance that we desire. \n", + "The constructor `_init()__` initializes the DogSensor class with an initial position `x0`, velocity `vel`, and the variance in the measurement and noise. The `sense_position()` function has the dog move by the set velocity and returns its new position, with noise added. If you look at the code for `sense_position()` you will see a call to `numpy.random.randn()`. This returns a number sampled from a normal distribution with a mean of 0.0. and a standard deviation of 1.0. *Variance* is defined as the standard deviation squared, so in `__init()__` we take the square root of the variances to get the standard deviation. Therefore the expression `self.x + random.randn() * self.noise` computes a simulated measurement with the variance that we desire. \n", "\n", "Let's look at some example output for that." ] @@ -353,10 +361,10 @@ "output_type": "stream", "stream": "stdout", "text": [ - " 0.5332\t-0.6438\t 1.0778\t-1.5408\t 0.7009\t\n", - "-0.1204\t-1.4358\t 1.0115\t-0.6912\t 0.5493\t\n", - " 0.7769\t 0.9842\t 0.8198\t 1.0959\t 0.7743\t\n", - "-1.2463\t 1.3107\t-0.8946\t 0.0512\t-1.9209\t\n" + " 1.6843\t 1.2912\t 1.1466\t 0.4007\t 0.4046\t\n", + "-1.3402\t 1.7754\t-0.7792\t-0.5521\t 0.0399\t\n", + " 0.4786\t-0.1534\t 0.2983\t-0.7419\t-3.0835\t\n", + "-0.3109\t 0.9006\t 1.8374\t 0.3517\t-0.2178\t\n" ] } ], @@ -378,7 +386,7 @@ "import matplotlib.pyplot as plt\n", "import matplotlib.pylab as pylab\n", "\n", - "dog = DogSensor(variance=0.0)\n", + "dog = DogSensor(measurement_variance=0.0)\n", "xs = []\n", "for i in range(10):\n", " x = dog.sense_position()\n", @@ -403,11 +411,11 @@ "output_type": 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zfFWAhlAUgII+qVzndnH2kAzMKqMT6XAKFCIiItLt7G4M8WyFn5eqAwS/aqM7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\nnGE2PTTWpcXj3boletD8rwIAAAADhuXfZfsDhv5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"text": [ - "" + "" ] } ], - "prompt_number": 4 + "prompt_number": 27 }, { "cell_type": "markdown", @@ -422,8 +430,9 @@ "cell_type": "code", "collapsed": false, "input": [ - "def test_sensor(variance):\n", - " dog = DogSensor(variance=variance)\n", + "def test_sensor(measurement_var, process_var=0.0):\n", + " dog = DogSensor(measurement_variance=measurement_var, \n", + " process_variance=process_var)\n", "\n", " xs = []\n", " for i in range(100):\n", @@ -431,15 +440,16 @@ " xs.append(x)\n", "\n", " plt.plot(xs, label='sensor')\n", - " plt.plot([0, 99], [1, 100], 'r--', label='actual')\n", + " plt.plot([0, 99], [1, 100], 'r--', label='ideal')\n", " plt.xlabel('time')\n", " plt.ylabel('pos')\n", " plt.ylim([0,100])\n", - " plt.title('variance = ' + str(variance))\n", + " plt.title('variance = {}, process variance = {}'.format(\n", + " measurement_var, process_var))\n", " plt.legend(loc='best')\n", " plt.show()\n", " \n", - "test_sensor(variance=4.0)" + "test_sensor(measurement_var=4.0)" ], "language": "python", "metadata": {}, @@ -447,13 +457,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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450myqlQj9o13zlneMAwWndqQ9MazTG37NwU8FUcjPVJpDRgwgFWrVnHgwIGK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ClEJ7otLYHZ2Oq72OWa3KArDoSCLRqdkFPsbc/bH0jnTkcHBtfm/8GAs+W4fn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\nREREREQ82v8DgBE+A/L493UAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 51 }, { "cell_type": "markdown", @@ -466,14 +476,14 @@ "\n", "If you are running this in an interactive IPython Notebook, I strongly urge you to run the script several times in a row. You can do this by putting the cursor in the cell containing the Python code and pressing Ctrl+Enter. Each time it runs you should see a different jagged blue line wavering over the top of the dotted red line.\n", "\n", - "I also urge you to adjust the noise setting to see the result of various values. However, since you may be reading this in a read only notebook, I will show two extreme examples. The first plot shows the noise set to 100.0, and the second shows noise set to 0.5." + "I also urge you to adjust the noise setting to see the result of various values. However, since you may be reading this in a read only notebook, I will show several examples. The first plot shows the noise set to 100.0, and the second shows noise set to 0.5." ] }, { "cell_type": "code", "collapsed": false, "input": [ - "test_sensor(variance=100.0)" + "test_sensor(measurement_var=100.0)" ], "language": "python", "metadata": {}, @@ -481,19 +491,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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VZtDruLJPQr3OOzA1mr0lVrYWmhmQEh1eeVuYu3S8aaWInUOVt1VUgMXCd0PG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\nSTGLi4vNhQsXms3NzW3O070l0axZsyb0H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BEJCamiplU0RhYWEICAhw+rqAsn9Glfazw9mfIwCcPHnS5meHmGE5e/asU8e7cuVKiWMY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\niOSLvMv0+NJkQ46v8VFYYLClxc/ejgCTs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"text": [ - "" + "" ] } ], - "prompt_number": 6 + "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ - "test_sensor(variance=0.5)" + "test_sensor(measurement_var=0.5)" ], "language": "python", "metadata": {}, @@ -501,13 +511,73 @@ { "metadata": {}, "output_type": "display_data", - "png": 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IiIiIiEgBZhiwZg1p4yfgvGUzM4ZMZ2mjrgAEeznR9+4SdK7oicWxYMybptAjIiIiIiK5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\nIm5NpUdERERERNyaSo+IiIiIiLi1/wdTeWP7ICmnYAAAAABJRU5ErkJggg==\n", 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4bmGWZWG329VTJyIiInId0hyGaV/tpcu7s1k1ogX9Nn6c3yHlGvX0/I0Snlub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\nAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 7 + "prompt_number": 62 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now lets see the effect of the process noise. My simulation is not meant to exactly model any given physical process. On each call to `sense_position()` I modify the current velocity by randomly generated process noise. However, I strive to keep the velocity close to the initial value, as I am assuming that there is a control mechanism in place trying to maintain the same speed. In this case, the control mechanism would be the dog's brain! For an automobile it could be a cruise control or the human driver.\n", + "\n", + "So let's first look at the plot with some process noise but no measurement noise to obscure the results." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "np.random.seed(1234)\n", + "test_sensor(measurement_var=0, process_var=0.5)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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cGRToTjV3u0dv8OWX4fRpGDsW6tXL93gfRbFYp6eg3ds9JsPbRH6TLn1REOS8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+ "text": [ + "" + ] + } + ], + "prompt_number": 65 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that the position wanders slightly from the ideal track. You may have thought that the track would have wandered back and forth the ideal path like the measurement noise did, but recall that we are modifying velocity on each, not the position. So once the track has deviated, it will stay there until the random changes in velocity happen to result in the track going back to the original track. \n", + "\n", + "Finally, let's look at the combination of measurement noise and process noise." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "test_sensor(measurement_var=1, process_var=0.5)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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VlsXQlAhc2rUG26J7nlLU9++lciADIYQQQgghRNEwZJvIzDHdtkxMWhbDNl/l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N08AbX9aaHUdEeggVHyLSYxxtaGHFsTnu87JdOGx6CZSeK8FhY+bo1r1tlmwr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\nqFMwfBARERERUadg+CAiIiIiok7x//FsMCDPgQZpAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 8 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -560,7 +630,8 @@ "cell_type": "code", "collapsed": false, "input": [ - "dog = DogSensor(x0=23, velocity=0, variance=5)\n", + "dog = DogSensor(x0=23, velocity=0, \n", + " measurement_variance=5, process_variance=0.0)\n", "xs = range(100)\n", "ys = []\n", "for i in xs:\n", @@ -576,13 +647,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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wtL/ZHT8dTtXfIZiUSLZin4c5DMWyTC7XCg8qHkbRKx4A8AZVD9Nh4UFsSSia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\nAKbjXFx+sa5BktTLB2Y7pKYzS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zzzyDQCCAs88+G/v27UN7ezsuvPBC/TVutxtnn302NmzYUJCDJSIiIio3iqqyuZxGhYw7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\n+nfu184xQU48AEOIoPY+tIDo46T/69qWzj7HiyURFUnBYCJ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5rPg88QB0MbtdWrqbADmm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\n6fZO79q1S1OmTNGUKVPU1NSk1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kZGOnP+d0HBGRgKdyIiISAOKWvJP76OB212EaXup0HPkNc/u9EBKKXbEI+/3X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"text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 72 }, { "cell_type": "markdown", @@ -854,7 +925,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 13 + "prompt_number": 71 }, { "cell_type": "markdown", @@ -879,7 +950,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "dog = DogSensor(velocity=0., variance=1.)\n", + "dog = DogSensor(velocity=0., measurement_variance=5, process_variance=0.0)\n", "\n", "pos,s = 2, 5\n", "for i in range(20):\n", @@ -895,30 +966,30 @@ "output_type": "stream", "stream": "stdout", "text": [ - "time: 0 \tposition = 1.071 \tvariance = 2.500\n", - "time: 1 \tposition = 1.317 \tvariance = 1.667\n", - "time: 2 \tposition = 0.980 \tvariance = 1.250\n", - "time: 3 \tposition = 1.014 \tvariance = 1.000\n", - "time: 4 \tposition = 0.917 \tvariance = 0.833\n", - "time: 5 \tposition = 0.967 \tvariance = 0.714\n", - "time: 6 \tposition = 0.887 \tvariance = 0.625\n", - "time: 7 \tposition = 0.866 \tvariance = 0.556\n", - "time: 8 \tposition = 0.791 \tvariance = 0.500\n", - "time: 9 \tposition = 0.737 \tvariance = 0.455\n", - "time: 10 \tposition = 0.544 \tvariance = 0.417\n", - "time: 11 \tposition = 0.555 \tvariance = 0.385\n", - "time: 12 \tposition = 0.512 \tvariance = 0.357\n", - "time: 13 \tposition = 0.473 \tvariance = 0.333\n", - "time: 14 \tposition = 0.467 \tvariance = 0.312\n", - "time: 15 \tposition = 0.428 \tvariance = 0.294\n", - "time: 16 \tposition = 0.343 \tvariance = 0.278\n", - "time: 17 \tposition = 0.286 \tvariance = 0.263\n", - "time: 18 \tposition = 0.242 \tvariance = 0.250\n", - "time: 19 \tposition = 0.242 \tvariance = 0.238\n" + "time: 0 \tposition = -0.009 \tvariance = 2.500\n", + "time: 1 \tposition = 0.837 \tvariance = 1.667\n", + "time: 2 \tposition = -0.287 \tvariance = 1.250\n", + "time: 3 \tposition = 0.048 \tvariance = 1.000\n", + "time: 4 \tposition = -0.004 \tvariance = 0.833\n", + "time: 5 \tposition = 0.302 \tvariance = 0.714\n", + "time: 6 \tposition = -0.011 \tvariance = 0.625\n", + "time: 7 \tposition = -0.244 \tvariance = 0.556\n", + "time: 8 \tposition = -0.323 \tvariance = 0.500\n", + "time: 9 \tposition = -0.304 \tvariance = 0.455\n", + "time: 10 \tposition = -0.155 \tvariance = 0.417\n", + "time: 11 \tposition = -0.235 \tvariance = 0.385\n", + "time: 12 \tposition = -0.007 \tvariance = 0.357\n", + "time: 13 \tposition = 0.041 \tvariance = 0.333\n", + "time: 14 \tposition = 0.171 \tvariance = 0.312\n", + "time: 15 \tposition = -0.007 \tvariance = 0.294\n", + "time: 16 \tposition = -0.072 \tvariance = 0.278\n", + "time: 17 \tposition = -0.007 \tvariance = 0.263\n", + "time: 18 \tposition = 0.272 \tvariance = 0.250\n", + "time: 19 \tposition = 0.159 \tvariance = 0.238\n" ] } ], - "prompt_number": 14 + "prompt_number": 73 }, { "cell_type": "markdown", @@ -985,7 +1056,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 74 }, { "cell_type": "markdown", @@ -1004,7 +1075,9 @@ "sensor_variance = 10\n", "pos = (0, 500) # gaussian N(0,500)\n", "\n", - "dog = DogSensor(pos[0], velocity=movement, variance=sensor_variance)\n", + "dog = DogSensor(pos[0], velocity=movement, \n", + " measurement_variance=sensor_variance, \n", + " process_variance=sensor_variance)\n", "\n", "zs = []\n", "ps = []\n", @@ -1034,28 +1107,28 @@ "output_type": "stream", "stream": "stdout", "text": [ - "PREDICT: 1.0000 502.0000\tUPDATE: 5.9904 9.8047\n", - "PREDICT: 6.9904 11.8047\tUPDATE: 2.7834 5.4138\n", - "PREDICT: 3.7834 7.4138\tUPDATE: 4.0761 4.2574\n", - "PREDICT: 5.0761 6.2574\tUPDATE: 5.6457 3.8490\n", - "PREDICT: 6.6457 5.8490\tUPDATE: 4.4591 3.6904\n", - "PREDICT: 5.4591 5.6904\tUPDATE: 7.7529 3.6267\n", - "PREDICT: 8.7529 5.6267\tUPDATE: 9.4817 3.6007\n", - "PREDICT: 10.4817 5.6007\tUPDATE: 9.3966 3.5900\n", - "PREDICT: 10.3966 5.5900\tUPDATE: 10.0462 3.5856\n", - "PREDICT: 11.0462 5.5856\tUPDATE: 13.3613 3.5838\n" + "PREDICT: 1.0000 502.0000\tUPDATE: 2.1518 9.8047\n", + "PREDICT: 3.1518 11.8047\tUPDATE: 5.0312 5.4138\n", + "PREDICT: 6.0312 7.4138\tUPDATE: 5.7636 4.2574\n", + "PREDICT: 6.7636 6.2574\tUPDATE: 5.5107 3.8490\n", + "PREDICT: 6.5107 5.8490\tUPDATE: 5.0846 3.6904\n", + "PREDICT: 6.0846 5.6904\tUPDATE: 6.8312 3.6267\n", + "PREDICT: 7.8312 5.6267\tUPDATE: 8.6453 3.6007\n", + "PREDICT: 9.6453 5.6007\tUPDATE: 10.8448 3.5900\n", + "PREDICT: 11.8448 5.5900\tUPDATE: 13.2680 3.5856\n", + "PREDICT: 14.2680 5.5856\tUPDATE: 12.3199 3.5838\n" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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o3749zz777FHbNWrUCICtW7dy/vnn07ZtW5555hmaNm2Kw+Fg5cqV/OMf/yg3sXnGjBnc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\no0bhzJkzSpdksjZt2oSIiAiMGDECXl5e6Nq1K1asWKF0WSZPkiR8+eW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+K/alsAIInLeRq+qG0nlvCp1r+VEnsHIvI6uCQkRERKQ8GAbcdBN89hkEBJhL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\nA+zZA2vXQvfucPvtZsJyIMyaEeOZZ2DbNuja1fz/ExERqQM+X6HwGxM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"text": [ - "" + "" ] } ], - "prompt_number": 16 + "prompt_number": 76 }, { "cell_type": "markdown", @@ -1085,7 +1158,9 @@ "source": [ "Next we initialize the RFID simulator with\n", "\n", - " dog = DogSensor(pos[0], velocity=movement, noise=sensor_variance)\n", + " dog = DogSensor(pos[0], velocity=movement, \n", + " measurement_variance=sensor_variance, \n", + " process_variance=sensor_variance)\n", "\n", "It may seem very 'convenient' to set the simulator to the same position as our guess, and it is. Do not fret. In the next example we will see the effect of a wildly inaccurate guess for the dog's initial position.\n", "\n", @@ -1155,7 +1230,9 @@ "sensor_variance = 4.5\n", "pos = (0, 100) # gaussian N(0,100)\n", "\n", - "dog = DogSensor(pos[0], velocity=movement, variance=sensor_variance)\n", + "dog = DogSensor(pos[0], velocity=movement, \n", + " measurement_variance=sensor_variance, \n", + " process_variance=0.5)\n", "\n", "zs, ps, vs = [], [], []\n", "for i in range(50):\n", @@ -1168,7 +1245,7 @@ " ps.append(pos[0])\n", " \n", "#plt.subplot(121) \n", - "plt.plot(zs,c='r', linestyle='dashed', label='measurement')\n", + "plt.plot(zs, linestyle='dashed', label='measurement')\n", "plt.plot(ps, label='filter')\n", "plt.legend(loc=2)\n", "plt.show()\n", @@ -1186,9 +1263,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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kNZtwFvc7L8OJ41CtLqbtkyk/OTAQXnjBmQb2om5Wxs8PE1YyaZIBzvS51ao5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\nlOPN2/R0/K8+wb+vgwsZxUtizrkc7z+DAhcyDjjjDPj2WxcEtm6FG26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o10vaWT3YmVsMh/os1qpB7sBHyF82jzpzphH8y3K8Q24gveXp7OzWm8IatQEI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\nIkP1iJaIiIhIQ2kS/+37/bkm35Wbm9uIlUhDa++DduHRnJF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"text": [ - "" + "" ] }, { @@ -1216,7 +1293,7 @@ ] } ], - "prompt_number": 17 + "prompt_number": 92 }, { "cell_type": "markdown", @@ -1283,7 +1360,7 @@ " self.measurement_variance = measurement_variance\n", " self.movement_variance = movement_variance\n", "\n", - "That works, but I am going to use different naming. The Kalman filter literature has settled on one letter notations for each of these concepts, and so you might as well start getting exposed to it now. At first it seems impossiblely terse, but as you become familiar with the nomenclature you'll see that the math formulas in the textbooks will have an exact one-to-one correspondance with the code. Unfortunately there is not a lot of meaning behind the names chosen; you will just have to memorize them.\n", + "That works, but I am going to use different naming. The Kalman filter literature has settled on one letter notations for each of these concepts, and so you might as well start getting exposed to it now. At first it seems impossiblely terse, but as you become familiar with the nomenclature you'll see that the math formulas in the textbooks will have an exact one-to-one correspondance with the code. Unfortunately there is not a lot of meaning behind the names chosen; you will just have to memorize them. If you do not make this effort you will never be able to read the Kalman filter literature.\n", "\n", "So, we use `x` for the state (estimated value of the filter) and `P` for the variance of the state. `R` is the measurement error, and `Q` is the movement error. This gives us:\n", "\n", @@ -1331,7 +1408,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 18 + "prompt_number": 89 }, { "cell_type": "heading", @@ -1464,7 +1541,7 @@ "\n", "> For example, I just randomly looked up a data sheet for an airflow sensor. There is a field *Repeatability*, with the value $\\pm 0.50\\%$. Is this a Gaussian? Is there a bias? For example, perhaps the repeatability is nearly 0.0% at low temperatures, and always nearly +0.50 at high temperatures. Data sheets for electrical components often contain a section of \"Typical Performance Characteristics\". These are used to capture information that cannot be easily conveyed in a table. For example, I am looking at a chart showing output voltage vs current for a LM555 timer. There are three curves showing the performance at different temperatures. The response is ideally linear, but all three lines are curved. This clarifies that errors in voltage outputs are probably not Gaussian - in this chip's case higher temperatures leads to lower voltage output, and the voltage output is quite nonlinear if the input current is very high. \n", "\n", - "> As you might guess, modeling the performance of your sensors is one of the harder parts of creating good Kalman filter. " + "> As you might guess, modeling the performance of your sensors is one of the harder parts of creating a Kalman filter that performs well. " ] }, { @@ -1698,7 +1775,9 @@ "movement_sensor = 30\n", "pos = (0,500)\n", "\n", - "dog = DogSensor(0, velocity=movement, variance=sensor_variance)\n", + "dog = DogSensor(0, velocity=movement, \n", + " measurement_variance=sensor_variance,\n", + " process_variance=0.5)\n", "\n", "zs = []\n", "ps = []\n", @@ -1728,21 +1807,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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XXjn3eFYW3HYbBAYW3IuUDgUpIiIiImVt4ULz5d0w4O0iLXpbOWVkwJw55ve/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fNrdNmoCLS8m15wakIEVERESkmBhz52IBJla/hYR0B9FlPLivdiAdKvvglsdQ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NoSMjI0OSVFhYqKysrNDxwsLC0LkzycnJafU96oOmHtn7uYrrXeo94Ap19lmW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\nMQzJJckwJEMnzhuN55u2fHE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6ztvcEwAAAAANETGhY2Bydej4oLBM5VUBm3sDAAAA4GrVGzq2bt2qUaNGKTU1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\nn21p6ACa2syZM5WTk6Ps7Oz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"text": [ - "" + "" ] } ], - "prompt_number": 23 + "prompt_number": 91 }, { "cell_type": "markdown", diff --git a/Appendix_A_Installation/Appendix_Installation.ipynb b/Appendix_A_Installation/Appendix_Installation.ipynb index 476c01a..1a79bf7 100644 --- a/Appendix_A_Installation/Appendix_Installation.ipynb +++ b/Appendix_A_Installation/Appendix_Installation.ipynb @@ -20,7 +20,7 @@ "level": 1, "metadata": {}, "source": [ - "Appendix: Installation, Python, Numpy, and filterpy" + "Installation, Python, Numpy, and filterpy" ] }, { diff --git a/Appendix_B_Symbols_and_Notations/Appendix_Symbols_and_Notations.ipynb b/Appendix_B_Symbols_and_Notations/Appendix_Symbols_and_Notations.ipynb index c09f055..097ab36 100644 --- a/Appendix_B_Symbols_and_Notations/Appendix_Symbols_and_Notations.ipynb +++ b/Appendix_B_Symbols_and_Notations/Appendix_Symbols_and_Notations.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:96b8d49070c26012f68e9c586fe5de841f9bf752ab9ecd8bd8c787afa0086ad3" + "signature": "sha256:53bdd4d227576a358de986c4a5ec6cf238e76c88031dc1b6d55f06ce9fc5c11b" }, "nbformat": 3, "nbformat_minor": 0, @@ -262,7 +262,7 @@ "level": 1, "metadata": {}, "source": [ - "Appendix I : Symbology" + "Symbology" ] }, { diff --git a/build_book.sh b/build_book similarity index 100% rename from build_book.sh rename to build_book diff --git a/clean_book b/clean_book index 5616678..f35beee 100755 --- a/clean_book +++ b/clean_book @@ -8,6 +8,8 @@ rm --f ./*_files/*.png rm --f Kalman_and_Bayesian_Filters_in_Python.ipynb rm --f Kalman_and_Bayesian_Filters_in_Python.toc rm --f Kalman_and_Bayesian_Filters_in_Python.tex +rm --f short.ipynb + rmdir ./*_files/ 2> /dev/null if (( $# == 1)); then diff --git a/clean_book.sh b/clean_book.sh deleted file mode 100755 index 5616678..0000000 --- a/clean_book.sh +++ /dev/null @@ -1,17 +0,0 @@ -#! /bin/bash -rm --f *.tex -rm --f *.toc -rm --f *.aux -rm --f *.log -rm --f *.out -rm --f ./*_files/*.png -rm --f Kalman_and_Bayesian_Filters_in_Python.ipynb -rm --f Kalman_and_Bayesian_Filters_in_Python.toc -rm --f Kalman_and_Bayesian_Filters_in_Python.tex -rmdir ./*_files/ 2> /dev/null - -if (( $# == 1)); then - if [ "@1" == all ]; then - rm Kalman_and_Bayesian_Filters_in_Python.pdf; - fi -fi diff --git a/merge_book.py b/merge_book.py index 5e24580..2821c58 100644 --- a/merge_book.py +++ b/merge_book.py @@ -3,6 +3,7 @@ import io from IPython.nbformat import current import sys + def remove_formatting(nb): w = nb['worksheets'] node = w[0] @@ -13,6 +14,7 @@ def remove_formatting(nb): del c[i] return + def remove_links(nb): w = nb['worksheets'] node = w[0] @@ -23,13 +25,30 @@ def remove_links(nb): del c[i] return + +def remove_links_add_appendix(nb): + w = nb['worksheets'] + node = w[0] + c = node['cells'] + for i in range (len(c)): + if 'source' in c[i].keys(): + if c[i]['source'][0:19] == '[Table of Contents]': + c[i]['source'] = '\\appendix' + return + + def merge_notebooks(filenames): merged = None + added_appendix = False for fname in filenames: with io.open(fname, 'r', encoding='utf-8') as f: nb = current.read(f, u'json') remove_formatting(nb) - remove_links(nb) + if not added_appendix and fname[0:8] == 'Appendix': + remove_links_add_appendix(nb) + added_appendix = True + else: + remove_links(nb) if merged is None: merged = nb else: diff --git a/report.tplx b/report.tplx index 746dc1a..9a92237 100644 --- a/report.tplx +++ b/report.tplx @@ -19,4 +19,5 @@ ((* block docclass *)) \documentclass[4pt]{book} +\setcounter{chapter}{-1} ((* endblock docclass *)) diff --git a/short_build_book b/short_build_book new file mode 100755 index 0000000..270711b --- /dev/null +++ b/short_build_book @@ -0,0 +1,11 @@ +#! /bin/bash + +echo "merging book..." + +python short_merge_book.py > short.ipynb + +echo "creating pdf..." +ipython nbconvert --to latex --template book --post PDF short.ipynb + +echo "done." + diff --git a/short_merge_book.py b/short_merge_book.py new file mode 100644 index 0000000..f7057db --- /dev/null +++ b/short_merge_book.py @@ -0,0 +1,65 @@ +from __future__ import print_function +import io +from IPython.nbformat import current +import sys + +def remove_formatting(nb): + w = nb['worksheets'] + node = w[0] + c = node['cells'] + for i in range (len(c)): + if 'input' in c[i].keys(): + if c[i]['input'][0:16] == '#format the book': + del c[i] + return + +def remove_links(nb): + w = nb['worksheets'] + node = w[0] + c = node['cells'] + for i in range (len(c)): + if 'source' in c[i].keys(): + if c[i]['source'][0:19] == '[Table of Contents]': + del c[i] + return + +def remove_links_add_appendix(nb): + w = nb['worksheets'] + node = w[0] + c = node['cells'] + for i in range (len(c)): + if 'source' in c[i].keys(): + if c[i]['source'][0:19] == '[Table of Contents]': + c[i]['source'] = '\\appendix' + return + + +def merge_notebooks(filenames): + merged = None + added_appendix = False + for fname in filenames: + with io.open(fname, 'r', encoding='utf-8') as f: + nb = current.read(f, u'json') + remove_formatting(nb) + if not added_appendix and fname[0:8] == 'Appendix': + remove_links_add_appendix(nb) + added_appendix = True + else: + remove_links(nb) + if merged is None: + merged = nb + else: + merged.worksheets[0].cells.extend(nb.worksheets[0].cells) + merged.metadata.name += "_merged" + + print(current.writes(merged, u'json')) + + +if __name__ == '__main__': + #merge_notebooks(sys.argv[1:]) + merge_notebooks( + ['Preface.ipynb', + '01_gh_filter/g-h_filter.ipynb', + '02_Discrete_Bayes/discrete_bayes.ipynb', + 'Appendix_A_Installation/Appendix_Installation.ipynb', + 'Appendix_B_Symbols_and_Notations/Appendix_Symbols_and_Notations.ipynb'])