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@juhasch
Created October 10, 2012 21:42
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Plot attenuation due to atmospheric gases in xkcd style
{
"metadata": {
"name": "atmospheric-attenuation-v3-xkcd"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h4>Atmospheric Attenuation due to Gases</h4>\n",
"Computed according to ITU-R P.676-7"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib.backends.backend_agg import FigureCanvasAgg as fc\n",
"import matplotlib.font_manager as fm\n",
"import atmospheric_attenuation.gas as attn\n",
"rcParams['savefig.dpi'] = 100 # plot figures in a nice size\n",
"f=linspace(1,500.,1000);\n",
"T=300 # [K] Temperature\n",
"p=1013 # [hPa] atmospheric pressure\n",
"rho=7.5 # [g/m^3] water vapour density\n",
"f=linspace(1,500.,1000);\n",
"atm= attn.gas(f,p,rho,T)\n",
"fig = Figure()\n",
"canvas = fc(fig)\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"ax.plot(f, atm, 'c', lw=2)\n",
"ax.axis([1 ,500 , 0, 50])\n",
"fig"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"png": 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HfX09mpubsXv3bu17nE4n9u/fj6VLlxpy8EREFFmyKx8qiqL1GbhNPl0xVcHgDqnhXnVr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\nAElFTkSuQmCC\n",
"prompt_number": 1,
"text": [
"<matplotlib.figure.Figure at 0x4cc2e50>"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy.signal as signal\n",
"from scipy.stats import norm\n",
"\n",
"def rand_func(data,mag=1):\n",
" \"\"\" multiply data by low-pas filtered random values \n",
" data - input data array\n",
" mag - magnitude (default is 1)\n",
" \"\"\"\n",
" length=size(data)\n",
" coeffs = mag * norm.rvs(loc = 0, scale = 1e-2, size = length) # random values\n",
" b = signal.firwin(20, 0.15, window=('kaiser', 8))\n",
" response = signal.lfilter(b,1,coeffs)+1 # use low pass filter to smooth variations\n",
" return data*response\n",
"\n",
"def make_xkcd(ax,x_label='',y_label=''):\n",
" \"\"\" make an xkcd style plot\n",
" ax - axis element\n",
" x_label, y_label - optional text for x and y axis\n",
" \"\"\"\n",
"\n",
" # add randomness to x and y of plotted lines\n",
" pltlist=ax.get_lines()\n",
" for p in pltlist:\n",
" x = p.get_xdata()\n",
" y = p.get_ydata()\n",
" x = rand_func(x)\n",
" y = rand_func(y)\n",
" p.set_xdata(x)\n",
" p.set_ydata(y)\n",
"\n",
" ax.axison = False\n",
" # get boundaries for x and y axis\n",
" xmin, xmax = ax.get_xlim()\n",
" ymin, ymax = ax.get_ylim()\n",
" xsize=xmax-xmin\n",
" ysize=ymax-ymin\n",
" # Increase figure size to fit new custom axes\n",
" BORDER=10. # border size\n",
" xmin -=xsize/BORDER\n",
" xmax +=xsize/BORDER\n",
" ymin -=ysize/BORDER\n",
" ymax +=ysize/BORDER\n",
" ax.set_xlim(xmin, xmax)\n",
" ax.set_ylim(ymin, ymax)\n",
" \n",
" # Poor man's x-axis\n",
" xlen=size(x)\n",
" xaxis = linspace(xmin,xmax-xsize/BORDER,xlen)\n",
" yaxis = rand_func([ysize] * xlen,0.15)-ysize+ymin+ysize/BORDER\n",
" ax.plot(xaxis, yaxis, 'k', lw=2)\n",
" ax.arrow(xaxis[-1], yaxis[-1], 1e-6, 0, fc='k', lw=2, head_width=ysize/30, head_length=xsize/BORDER)\n",
"\n",
" # Poor man's y-axis\n",
" xaxis = rand_func([xsize] * xlen,0.15)-xsize+xmin+xsize/BORDER\n",
" yaxis = linspace(ymin,ymax-ysize/BORDER,xlen) \n",
" ax.plot(xaxis, yaxis, 'k', lw=2)\n",
" ax.arrow(xaxis[-1], yaxis[-1],0, 1e-6, fc='k', lw=2, head_width=xsize/40, head_length=ysize/BORDER);\n",
" \n",
" # Add axis description text\n",
" # The font is available here: http://antiyawn.com/uploads/Humor-Sans.ttf\n",
" prop = fm.FontProperties(fname='c://windows/fonts/Humor-Sans.ttf')\n",
" a=ax.text(xmax, ymin, x_label, fontproperties=prop, size=14,rotation=2,horizontalalignment='right')\n",
" ax.text(xmin, ymax, y_label, fontproperties=prop, size=14, rotation=88,verticalalignment='top');\n",
" \n",
" # plot 1dB/100m = 10dB/km\n",
" xaxis = linspace(0,xmax-xsize/10.,xlen)\n",
" yaxis = rand_func([ysize] * xlen,0.2)-ysize+10.\n",
" ax.plot(xaxis, yaxis, '--g', lw=2)\n",
"\n",
" # annotate interesting peaks\n",
" ann = ax.annotate(\"60 GHz\",\n",
" xy=(60, 15), xycoords='data',\n",
" xytext=(100, 30), textcoords='data',fontproperties=prop,\n",
" size=20, va=\"center\", ha=\"center\",\n",
" bbox=dict(boxstyle=\"round4\", fc=\"w\"),\n",
" arrowprops=dict(arrowstyle=\"-|>\",\n",
" connectionstyle=\"arc3,rad=-0.2\",\n",
" fc=\"w\"), \n",
" )\n",
" ann = ax.annotate(\"183 GHz\",\n",
" xy=(183, 27.5), xycoords='data',\n",
" xytext=(200, 40), textcoords='data',fontproperties=prop,\n",
" size=20, va=\"center\", ha=\"center\",\n",
" bbox=dict(boxstyle=\"round4\", fc=\"w\"),\n",
" arrowprops=dict(arrowstyle=\"-|>\",\n",
" connectionstyle=\"arc3,rad=-0.2\",\n",
" fc=\"w\"), \n",
" )\n",
"\n",
" ax.text(500, 11, '1 dB/100 M', fontproperties=prop, size=14, rotation=2,verticalalignment='bottom',horizontalalignment='right')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"make_xkcd(ax,'Frequency','Attenuation')\n",
"fig"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"png": 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Kp06dUFJSgsuXL7v8ngcJ7jr6GlEZzxtCTyx616ElAEVR7KNWrVr0448/Tg8Z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\nICIiAgsXLkRKSgp+/vlnl96XlZWFmTN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qqacwcuRIFBQUYOXKlWxGvb+/Pw4cOOBQiIKD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\nRCcmQS+EEEJ0Yv8DMr6smmRn2DUAAAAASUVORK5CYII=\n",
"prompt_number": 3,
"text": [
"<matplotlib.figure.Figure at 0x4cc2e50>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
}
],
"metadata": {}
}
]
}
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