{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Frekvenční modulace\n", "======================\n", "\n", "Modulační a nosný signál\n", "---------------------------" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8B/jSl9LXG0TZ75VXxByYLS3ANdcoHQ0RTdVtt4nBk61bgZNPVjoaynSpvtaJ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\nQgqWQ+U0byM4HA7s2rVr3Ns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JZ94A8UOs0+kiv/ScTufUnoCC0pm7qqoqWK3WyD8AWLly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\nD7INrOLbQRY2kIMN5GAHWUwuepCHoHWtYwAAAFw99CAbQw8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A+Pbt2x0n433//fdtY8dx\nguJ4bW1NyWRSd+7c6fl7dbsqPDs7q9/+9rdKJpPK5/NaWFjo+XtZRoEMAABwxcViMUlSuVzW27dv\n9fHjx76e5+nTp6rX613t22w25bqu8vm8nj592tf3s4oCGQAAYERCodDQnrteryudTuvt27eSjtsw\n6vV6UDx349mzZ13vm06nVa1WtbS01PNcreMkPQAAgBHptcWi2Wyee5Le6e2pVEpPnjwJCtadnZ1z\nr7N8WcViUffv35/I4liiQAYAABgJz/O0tbWl9+/f6/nz5xf2+7bumFer1bS9vd12J72trS15nqdS\nqRRsLxaLqlarikQiwVUsHj9+PLTe4O3t7b56nK+KULOfbnEAAAAMVK1WU7FY7OkKF+N6bs/zemrd\nuGpYQQYAAEBPJrk4liiQAQAAJh4NA72hQAYAADBid3dXX3/99UCfs1AoaGtrS9FodKDPO8noQQYA\nAABOYAUZAAAAOIECGQAAADiBAhkAAAA4gQIZAAAAOIECGQAAADiBAhkAAAA44f8APo1z4YrqhPAA\nAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as mpp\n", "\n", "# Konstanty\n", "fs=96000\n", "Ts=1./fs\n", "length=1\n", "# modulační vlna\n", "fm=100.\n", "Tm=1./fm\n", "# nosná vlna\n", "B=15\n", "fc=3000.\n", "Tc=1./fc\n", "Uc=3\n", "# časová osa\n", "t = arange(0,length,1./fs)\n", "\n", "# modulační signál\n", "um = 1*sin(2*pi*fm*t)\n", "\n", "# převod do frekvenční oblasti\n", "from scipy.fftpack import fft, ifft\n", "Ck= fft(um)\n", "absCk = 2./len(um) * numpy.abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "# Modulační signá\n", "fig=figure(figsize=(10,6))\n", "subplot(211)\n", "plot(t,um)\n", "title(u'Modulační signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(um), 1.1*max(um)])\n", "xlim([0,1.5*Tm])\n", "\n", "subplot(212)\n", "title(ur'Modulační signál -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*Uc]);\n", "xlim([0,6e3])\n", "grid(1)\n", "text(100,-0.34 , '$\\mathbf{f_m}$', size=16)\n", "#figtext(0,1 , '$\\mathrm f_m$', size=16)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oUYDJk6Nw/Lj79wEADhwwIDs7pl93t7d+p07F63f+PEBPD5t+jY0GlJTEGhsv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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna před modulací\n", "\n", "uc = Uc*cos(2*pi*fc*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure(figsize=(10,6))\n", "subplot(211)\n", "plot(t,uc,'-')\n", "title(u'Nosný signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,1.5*Tm])\n", "\n", "subplot(212)\n", "title(u'Nosný signál -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*Uc]);\n", "xlim([0,6e3])\n", "text(3000,-0.6 , '$\\mathbf{f_c}$', size=16)\n", "grid(1)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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c4Gtfk+WdmSJLUyWK+Mc/gG98Q369YbOp3RrKZocfLnuhdu8GLBY50wURadMb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\nAPvqgQGyIHhhs0epl7esrKxUNY421tXVVXBxmp+fR1tbG1pbWxkQ1NjqB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sfHIcsyvF4v\nTp48ifn5+ZqsNx6PIxQKYXBwEF6vFzMzM3C73QgGg8hmsxgbG8P09DRTMYioAANkIiKyhJbuEI/H\nEQ6HceHCBeRyOciyXLN179mzB9FoFJlMBqOjo+ju7obf78fQ0BB6e3sxPT2NkydPMkAmogIMkImI\nyDRaTxIOhwNTU1N4+eWXAeTzhgHA6XTiscceq8m6s9ksjh49CgDweDwAXg+cOzs79flyuZwl5SGi\n+sUAmYiITOPz+fD0008XfJZIJDA+Pq4PZzIZuN3uDR+yM3vdQD4oLvbwXqlxRNS8GCATEZGlent7\ncfjwYfT396OnpwcAMDw8bGhen8+3qfSHZDKJTCYDRVGQyWQwMTEBh8OBxx9/HH6/v2Bce3t71esh\nosbiUPnTmYiIiIhIxxeFEBERERGtwgCZiIiIiGgVBshERERERKswQCYiIiIiWoUBMhERERHRKgyQ\niYiIiIhWYYBMRERERLTK/wc64/+4xQ4/2gAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "B=15\n", "uc = Uc*cos(2*pi*fc*t+B*um)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure(figsize=(10,8))\n", "\n", "subplot(311)\n", "plot(t,um)\n", "title(u'Modulační signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(um), 1.1*max(um)])\n", "xlim([0,1.5*Tm])\n", "\n", "subplot(312)\n", "plot(t,uc)\n", "title(ur'Modulovaný signál $\\beta={}, \\Delta f={}\\,\\mathrm{{kHz}}$'.format(B,B*fm/100.))\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,1*Tm])\n", "\n", "subplot(313)\n", "title(ur'Modulovaný signál $\\beta={}, \\Delta f={}\\,\\mathrm{{kHz}}$ -- amplitudové spektrum'.format(B,B*fm/1000.))\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.5*max(absCk)]);\n", "xlim([0,6e3])\n", "text(3000,-0.3 , '$\\mathbf{f_c}$', size=16)\n", "grid(1)\n", "\n", "annotate('$\\mathbf{f_c+f_m}$', xy=(3100,0),size=16, xytext=(3100,-0.6), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c+2f_m}$', xy=(3200,0),size=16, xytext=(3500,-0.4), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9++QZxoEBtVsUHdYga0w862o2bwYWLZKnziorJ7w5oqj4fHI4uBNOAH7/e/4o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\nkVPefx/4q7+aqPsYYZEvwLI7ndO3F6vFyRpku8s5DiUWtWqQ7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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "B=8\n", "uc = Uc*cos(2*pi*fc*t+B*um)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure(figsize=(10,8))\n", "\n", "subplot(311)\n", "plot(t,um)\n", "title(u'Modulační signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(um), 1.1*max(um)])\n", "xlim([0,1.5*Tm])\n", "\n", "subplot(312)\n", "plot(t,uc)\n", "title(ur'Modulovaný signál $\\beta={}, \\Delta f={}\\,\\mathrm{{kHz}}$'.format(B,B*fm/100.))\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,1*Tm])\n", "\n", "subplot(313)\n", "title(ur'Modulovaný signál $\\beta={}, \\Delta f={}\\,\\mathrm{{kHz}}$ -- amplitudové spektrum'.format(B,B*fm/1000.))\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.5*max(absCk)]);\n", "xlim([0,6e3])\n", "\n", "text(3000,-0.4 , '$\\mathbf{f_c}$', size=16)\n", "grid(1)\n", "\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kn/3q+eefxzPPPAOv14uSkhL58b1798LlcuGrX/2qiGZO2sGDB7FhwwYcP34c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\nAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,4))\n", "ax=subplot(111)\n", "title(ur'Modulovaný signál $\\beta={}, \\Delta f={}\\,\\mathrm{{kHz}}$ -- amplitudové spektrum'.format(B,B*fm/1000.))\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.5*max(absCk)]);\n", "xlim([0,6e3])\n", "\n", "text(3000,-0.25 , '$\\mathbf{f_c}$', size=16)\n", "grid(1)\n", "\n", "ax.add_patch( mpp.FancyArrowPatch((2100,1.2), (3900,1.2), arrowstyle='<->', \n", " lw=2, linestyle='solid', mutation_scale=25,\n", " color='green', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "axvspan(2100, 3900, facecolor='g', alpha=0.2, ymax=0.78)\n", "text(2500,1.22, r'$2(\\Delta f+f_{max})$',size=16)\n", "\n", "bbox_props = dict(boxstyle=\"round,pad=0.3\", fc=\".9\", ec=\"b\", lw=2)\n", "t=annotate(u'Carsonův odhad', xy=(2400,1.3),size=16, xytext=(400,1.2),bbox=bbox_props,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-0.2\", fc=\"w\") \n", " )" ] } ], "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 }