{ "metadata": { "name": "", "signature": "sha256:0bb7b8ae753cb4c19196b5a1cb961ee6bf87e46b7fc09c4de6f7958171def08a" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "A brief introduction to sensor noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PyData Berlin 2014" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from IPython.html.widgets import interact\n", "import matplotlib.mlab as mlab\n", "import seaborn as sb\n", "#sb.set() # Reset Style\n", "sb.set(style=\"white\", palette=\"muted\")\n", "sb.set_context(\"talk\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "All right, let's look at some real sensor data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read some measurements in, which are collected with [Tinkerforge IMU](http://www.tinkerforge.com/en/doc/Hardware/Bricks/IMU_Brick.html) and [GPS](http://www.tinkerforge.com/en/doc/Hardware/Bricklets/GPS.html#gps-bricklet) sensors, which layed flat on the ground, without moving in any direction (static measurement)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.read_csv('2014-06-27-001-Data.csv')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Convert Epoch Millis to Timestamp\n", "# http://pandas.pydata.org/pandas-docs/dev/timeseries.html#epoch-timestamps\n", "df.index = pd.to_datetime(df['millis'], unit='ms')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Acceleration" ] }, { "cell_type": "code", "collapsed": false, "input": [ "accelerations = df[['ax','ay']].dropna()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "accelerations.plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kwOPG8ccFjADmKY7JQDpQCGxV3CMNkIACSZJWAb2Bz4Dr40q5QCAQ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\nFFZnMGF8dPx/OGPAWRj1Ru4uvp9Hxz3JfyY8w8P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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Let's try to fit a distribution" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.stats as stats\n", "from IPython.html.widgets import interact\n", "dists = ['Normal', 'Rayleigh', 'Weibull']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thanks Rob Story for the code in your [PyData Silicon Valley 2014 talk](https://www.youtube.com/watch?v=kmy-sfm3cC8)!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "@interact\n", "def plot_sb_dist(column=accelerations.columns.tolist(), dist=dists):\n", " plt.figure(figsize=(10, 4))\n", " dist_map = {\n", " 'Rayleigh': stats.rayleigh,\n", " 'Weibull': stats.exponweib,\n", " 'Normal': stats.norm,\n", " }\n", " sb.distplot(accelerations[column], fit=dist_map[dist], label='# of Sensor Readings')\n", " sb.plt.legend()\n", " plt.savefig(\"ax_dist.png\", dpi=72, bbox_inches='tight')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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G0eHchrOXHLv/Y78ewO4cziYiIiKSb12yhJmmGXap1w3DsAHvAgbwYA7mEhEREcnXrmhi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\nHACpZ/7kxPrp/PjHaRKSHW5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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "The Normal Distribution fits it perfectly!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "accelerations.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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axay
count 1000.000000 1000.000000
mean -0.300999 -1.135121
std 0.046919 0.042984
min -0.470600 -1.264900
25% -0.333400 -1.166900
50% -0.303900 -1.137500
75% -0.274500 -1.108000
max -0.176500 -0.990400
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ " ax ay\n", "count 1000.000000 1000.000000\n", "mean -0.300999 -1.135121\n", "std 0.046919 0.042984\n", "min -0.470600 -1.264900\n", "25% -0.333400 -1.166900\n", "50% -0.303900 -1.137500\n", "75% -0.274500 -1.108000\n", "max -0.176500 -0.990400" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can use `mean` and `std` to describe, what's going on.\n", "\n", "The variance is $\\mathrm{std}^2$" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "GPS Measurement" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GPS measurements are in decimal degrees `DD.dddddd`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gps = pd.DataFrame()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert decimal degress approximately to meters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "arcLon = 2*np.pi*6378.0/360.0\n", "arcLat = arcLon * np.cos(df.longitude*np.pi/180.0)\n", "\n", "gps['LonM'] = df.longitude * arcLon * 1000.0\n", "gps['LatM'] = df.latitude * arcLat * 1000.0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "sb.jointplot(gps.LonM, gps.LatM, kind='kde', \\\n", " xlim=(gps.LonM.min()-1, gps.LonM.max()+1), \\\n", " ylim=(gps.LatM.min()-1, gps.LatM.max()+1), \\\n", " size=10, space=1)\n", "plt.savefig('gps_dist.png', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2ObwiZxGuAY+iRQQA4BZTJuTpEBPa3PjAizXaWt/p8IqcQ7gGBhFt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\n525gYGCg0PXkGq5DCGeFEK4LITwcQrg9hPAreV5fktpRhYD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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "@interact\n", "def plot_sb_dist(column=gps.columns.tolist(), dist=dists):\n", " plt.figure(figsize=(10, 6))\n", " dist_map = {\n", " 'Rayleigh': stats.rayleigh,\n", " 'Weibull': stats.exponweib,\n", " 'Normal': stats.norm,\n", " }\n", " sb.distplot(gps[column], fit=dist_map[dist])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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z0FWrVplckYiY6ZDByjAMi2EY1wJfAxF/cE03YCJwKZAG5ABvBLFOaWBKKzx8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\nzIxUls2fwdql33D3fV1pWG0AYWH/rIfJ38fCO31r8tacY+w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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Even if it's not perfect, it matches the sensor readings pretty well." ] }, { "cell_type": "code", "collapsed": false, "input": [ "gps.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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LonMLatM
count 1000.000000 1000.000000
mean 1535402.773968 5517728.990404
std 0.273083 1.430401
min 1535402.321909 5517726.748935
25% 1535402.544544 5517727.816466
50% 1535402.655861 5517728.968462
75% 1535402.989812 5517730.181281
max 1535403.435080 5517731.309635
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ " LonM LatM\n", "count 1000.000000 1000.000000\n", "mean 1535402.773968 5517728.990404\n", "std 0.273083 1.430401\n", "min 1535402.321909 5517726.748935\n", "25% 1535402.544544 5517727.816466\n", "50% 1535402.655861 5517728.968462\n", "75% 1535402.989812 5517730.181281\n", "max 1535403.435080 5517731.309635" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can use `mean` and `std` to describe, what's going on." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The Normal Distribution / Gauss-Distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$f(x, \\mu, \\sigma) = \\large \\frac{1}{\\sigma\\sqrt{2\\pi}} \\ e^{\\Large -\\frac{(x-\\mu)^2}{2\\sigma^2} } \\\\$ with $\\mu$ as mean and $\\sigma^2$ as variance ($\\sigma$ is the standard deviation)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def pltnormpdf(mean, variance):\n", " plt.figure(figsize=(8,5))\n", " plt.plot(x,mlab.normpdf(x, mean, variance))\n", " plt.ylim(0,1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-10,10,500)\n", "interact(pltnormpdf, mean=(-5,5,0.5), variance=(0.1,10,0.1));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Conclusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the help of statistical parameters, it is possible to describe a sensor reading and it's noise.\n", "A lot of sensors can be described be the assumption:\n", "\n", "[`real value`] + [`white`, `gaussian` noise]\n", "\n", "so one can use the Kalman filter! Even it is not a perfect normal distribution, the Kalman Filter is the best estimator of the `real value`. The Kalman Filter does not work, if the sensor reading is `multimodal` (two or more peaks)." ] } ], "metadata": {} } ] }