{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Číslicový filtr\n",
    "==================\n",
    "\n",
    "Dokumentace k funkcím:\n",
    "\n",
    "* <http://docs.scipy.org/doc/scipy/reference/signal.html>\n",
    "* <http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.firwin.html>\n",
    "* <http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.lfilter.html>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0tAYHB5VIJDQ9Pa3FxcXyfZFIRPl8vuYdbnRS6oMHDxSNRmt+DZs4vm4GWc0gqxlkNYOs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\nRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.signal as signal\n",
    "import numpy as np\n",
    "\n",
    "x=[1,2,1.4,3.1,1.1,2,1,0,-3.1,-2,-0.9,-2.8,-1.5]\n",
    "n=np.arange(len(x))\n",
    "\n",
    "title(ur'Vstupní posloupnost vzorků \\bf{x(n)}')\n",
    "stem(n,x, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('x(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "\n",
    "grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.1 ,  0.4 ,  1.04,  1.89,  2.03,  2.39,  1.98,  1.53,  0.79,\n",
       "       -0.52, -2.04, -2.39, -1.76])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Dw3sWbrFYrGGfs2fP6urVq7py5UrLfWvi8bg8z9t34bbfixf2uz4AAEC/6ejtQKLRqEZH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\nXE6xWEzr6+t69913NTg4KOn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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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chw0AAMBxFGw+uTRjR1ZTPNsBfPBsB/DBsx3AB892AB882wHq5tLnAFnNIGt1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\nOAo2AACAgPv/AfTOrqGEdenVAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### Dolní propust\n",
    "############################################\n",
    "\n",
    "#h1=signal.firwin(5,0.3)\n",
    "h1=[0.1, 0.2, 0.5, 0.3, ]\n",
    "y1=signal.lfilter(h1, 1, x)\n",
    "\n",
    "figure(figsize=(10,6))\n",
    "title(ur'Impulzní charakteristika dolní propusti')\n",
    "stem(h1, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(n)+.5)\n",
    "ylim([-0.05,0.6])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('h(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "#xlim([-0.5,3.5])\n",
    "#xticks([0,1,2,3,])\n",
    "grid()\n",
    "\n",
    "figure()\n",
    "title(ur'Výstupní posloupnost vzorků \\bf{y(n)} -- \\bf{Dolní propust}')\n",
    "stem(n,y1, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('y(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "h1\n",
    "y1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.01269443, -0.14578008,  0.7338287 , -0.14578008, -0.01269443])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rq6uKxWK6cuWKxsbGnvuxa+jJs8vIiMSnPAIAoqpT3RL4Gy9qfXM7OztKpVLKZDL12zzP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\nANOOhZclXTcxAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9xtoetu3QwwZT6Akyg3E1g3EF7LDretgAAAD2Ggo2h2yasSOrKRm3A7SMcTWD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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Horní propust\n",
    "####################################\n",
    "\n",
    "h2=signal.firwin(5,0.3,  pass_zero=False)\n",
    "y2=signal.lfilter(h2, 1, x)\n",
    "\n",
    "figure()\n",
    "title(ur'Impulzní charakteristika horní propusti')\n",
    "stem(h2, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-0.5,0.8])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('h(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "\n",
    "figure()\n",
    "title(ur'Výstupní posloupnost vzorků \\bf{y(n)} -- \\bf{Horní propust}')\n",
    "stem(n,y2, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('y(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "h2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TxDmNPh+zkMMs5DALOcxCDrN4JYfknSxO5qj7Jb3jx4/r+PHjFevm5+er7hcMBlUoFEr9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\nAACgAgNkAAAAoML/D532qwWtlCeoAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(10,12))\n",
    "\n",
    "subplot(311)\n",
    "title(ur'Vstupní posloupnost vzorků \\bf{x(n)}')\n",
    "stem(n,x, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('x(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "\n",
    "subplot(312)\n",
    "title(ur'Výstupní posloupnost vzorků \\bf{y(n)} -- \\bf{dolní propust}')\n",
    "stem(n,y1, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('y(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "\n",
    "subplot(313)\n",
    "title(ur'Výstupní posloupnost vzorků \\bf{y(n)} -- \\bf{horní propust}')\n",
    "stem(n,y2, linefmt='b', markerfmt='o', basefmt='|',)\n",
    "xlim(-0.5,len(x)-0.5)\n",
    "ylim([-4,4])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel('y(n) $\\uparrow$', y=0.9, rotation=0)\n",
    "xticks(n)\n",
    "grid()\n",
    "\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Jednotkový impulz\n",
    "##########################\n",
    "\n",
    "d=[0,0,0,1,0,0,0]\n",
    "nn=arange(-3,4)\n",
    "\n",
    "figure(figsize=(10,4))\n",
    "title(ur'Jednotkový (Diracuv) impulz $\\delta(n)$')\n",
    "stem(nn,d, linefmt='b', markerfmt='o', basefmt='|',lw=5)\n",
    "xlim(-3.5,3.5)\n",
    "ylim([-0.1,1.2])\n",
    "xlabel(r'n $\\rightarrow$', x=0.9)\n",
    "ylabel(r'$\\delta(n) \\uparrow$', y=0.9, rotation=0)\n",
    "xticks(nn)\n",
    "grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TEavIVGjNLJVmZ2/h8uUUbtx468lVo37hV0eKXi+BwFnMzb1tMV3s3xERNQbWhAniRI61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\nALCAIAwAAMCC/wGXiWZeJV/x5gAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### Konvoluce\n",
    "###################################33\n",
    "# x(n)\n",
    "na=arange(-(len(h)-1),len(x))\n",
    "xa=concatenate([ zeros(len(h)-1) , x])\n",
    "\n",
    "ax=subplot(211)\n",
    "stem(na,xa)\n",
    "xlim([-3.5,12.5])\n",
    "\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))\n",
    "ax.set_xticks(na)\n",
    "\n",
    "xlabel(r'n $\\rightarrow$', x=1.04)\n",
    "ylabel(r'$\\mathrm{x}(n) \\uparrow$', y=0.9, rotation=0)\n",
    "grid()\n",
    "\n",
    "## h(n)\n",
    "krok=5\n",
    "ha=krok*[0]+h1[::-1]+(len(na)-len(h1)-krok)*[0]\n",
    "ax=subplot(212)\n",
    "stem(na,ha)\n",
    "xlim([-3.5,12.5])\n",
    "ylim([0,0.6])\n",
    "\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))\n",
    "ax.set_xticks(na)\n",
    "\n",
    "xlabel(r'n $\\rightarrow$', x=1.04)\n",
    "ylabel(r'$\\mathrm{h}(n) \\uparrow$', y=0.9, rotation=0)\n",
    "grid()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}