{ "metadata": { "name": "", "signature": "sha256:659b52b5b5c52d2e6dbd97f9ab1b8f9c974fde20cab7ad710c6d6aaf853ae172" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": true, "input": [ "N = 1000\n", "om = 2*pi*arange(1,N/2+1)/N\n", "t = arange(0,N)\n", "a=1./arange(1,N+1)\n", "phi = rand(N)*2.*np.pi\n", "x=0.\n", "for i in range(1,N/2):\n", " kern=np.real(np.exp(1j*(t*om[i]+phi[i])))\n", "\n", " x = x+(a[i]**2)*kern\n", "xf=x\n", "figure(figsize=(6,8))\n", "x=0.\n", "for i in range(1,N/2):\n", " kern=np.real(np.exp(1j*(t*om[i]+phi[i])))\n", "\n", " x = x+(a[i]**2)*kern\n", " if i<=6:\n", " subplot(3,2,i)\n", " plot(x,label='Fit so far')\n", " plot((a[i]**2)*kern,label='Fit %d'%i)\n", " plot(xf,label='Signal')\n", " legend(loc=4,fontsize='small')\n", " ylim([-0.9,0.5])\n", "savefig('images/FourierFit.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAHaCAYAAADi5SUtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(x)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqBgoiqIoUDFQFEVRoGKgKIqiAPj/615dybVaYUgAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "loglog(a)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEHCAYAAABMRSrcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGmBJREFUeJzt3XmUVdWVx/HvBjTK4BixE8RgRAmjYKskamK1CBQBQxTE\nIagogyOYwUjMUikVUYmoUYxKBKIdGxLiEJBGAeUpatoAooCCLbYk4ETbIW2Mggin/9iFXSktfK/e\ncO597/dZq5b15g3Xqs0+wz4WQkBERCpbk9gBiIhIfEoGIiKiZCAiIkoGIiKCkoGIiKBkICIiKBmI\niAhKBiIiAjQr1QeZWQvgF8AWIBNC+LdSfbaIiOxcKSuDk4HfhhBGAd8p4eeKiMjnyCsZmNk0M3vH\nzFbWu7/azNaY2atmNrb27jbA+trvt+XzuSIiUlj5VgbTgeq6d5hZU2By7f2dgNPNrCOwAWhboM8V\nEZECyuuXcghhMbCp3t1HAWtDCOtCCFuBmcBA4EFgkJn9Apidz+eKiEhhFWMCue5wEHhF0DOE8AFw\n7ue92MzURlVEpBFCCNbY1xZjuCbvX+YhhKhf48aNS8T75fK6bJ67s+c09Fgu9xf6761Srl++107X\nL961K8T1y/Wxhp6fr2Ikgzf4/7kBar/fUITPKZqqqqpEvF8ur8vmuTt7TkOP5Xp/EqTt+uV77Xb2\neKVfvzT/7DX0WLGuneWbUcysHTAnhNC19nYz4BWgF/Am8Efg9BDC6izfL4wbN46qqqpE/w8rn1ZT\nU0NNTU3sMKSRdP3SKZPJkMlkuPrqqwl5DBPllQzMbAZwHLAvsBG4KoQw3cz6AbcCTYGpIYTrc3jP\nUIiSR0ovk8kogaeYrl+6mVm8ZFAMSgYiIrnLNxlovb+IiCQzGdTU1JDJZGKHISKSeJlMpiBzPRom\nEhEpAxomEhGRvCkZiIhIMpOB5gxERLKjOQMREfmE5gxERCRvSgYiIqJkICIiCU0GmkAWEcmOJpBF\nROQTmkAWEZG8KRmIiIiSgYiIKBmIiAgJTQYdOtRw3XUZPv44diQiIslW1quJpk4NTJ0Kr78Ow4bB\nuedC+/axIxMRSa6yXE107rnwzDOwcCFs2QJHHw3HHw/33w8ffhg7OhGR8pPIyqB+TFu2wOzZcM89\nsHQpnHEGjBgBhx0WKUgRkYTJtzJIRTKo609/gunTYdo02H9/TwqnnQZ77lnCIEVEEqbiksEO27bB\nggUwdar/97vf9cRwzDFgjf7rEBFJp4pNBnVt3Aj/+q8+jBSCJ4WzzoLWrYsUpIhIwpTlBHKujepa\nt4Yf/QheftkrhZdegg4dYPBgmDfPqwgRkXJU1ktLCxHTe+/BzJleLbz1lq9QOuccaNcu/xhFRJKm\nLCuDQthjDxg1Cv74R3jkEdi0CY44Avr2hd/+1lcoiYiIK9vK4LNs3gwPPeTVwsqVMHQoDB8OnTsX\n5eNEREpGE8iN9Nprvjz1V7+Cr3zFJ52HDIGWLYv+0SIiBadkkKePP4ZHH/Vq4cknfdJ51Cg48siS\nhSAikjclgwJ66y2491646y746lfh8svhhBO0b0FEkk/JoAi2boUZM+CGG6B5c08KJ50ETcp2ul1E\n0k7JoIi2b/eeSNdfD//7vzB2LHzve7DrrrEjExH5R0oGJRACLFrkSeGVV3yD24gR0KJF7MhERFxZ\n7jPIdQdysZl5C+0FC+CBB+Cpp3xOYfx4378gIhKLdiBHtno1TJzow0jDh8MPfgBf+lLsqESkUpVl\nZZAGHTt6K+3ly30zW+fOcP75vn9BRCRtlAzydOCBcNttPpfwxS9Cz55++M6KFbEjExHJnpJBgey3\nn88h/Nd/QffuUF0NAwb48Z0iIkmnOYMi2bzZW11MnOidUseP97OcRUSKQUtLE27rVrjvPrjmGujS\nBa69Fg4/PHZUIlJuNIGccLvs4quN/vM/oV8/HzoaPNgP4BERSQolgxL5whfg4oth7Vr4+td938LQ\noX5bRCQ2JYMSa94cLr3Uk0CHDp4YRo6EP/85dmQiUsmUDCJp1QquvNKHj/bbD3r0gDFj4O23Y0cm\nIpVIySCyffaBCRN8R3OzZr55bexY+J//iR2ZiFQSJYOEaN0abr4ZXnwR3nsPDj3UVyC9/37syESk\nEiQyGSStUV0pHXAA3HknLFkCa9Z4Urj7bj+RTUSkPjWqqxDLlsGPfwxvvumH7QwcqJPXROTTtOms\nAoTg5zSPHesTzz/7mXYzi8g/0qazCmDmG9aWL/dlqKedBief7M3xREQKQckgRZo2hWHDPAn07AnH\nHAMXXKDlqCKSPyWDFNp9dx8yeuUV38TWubP3PPrgg9iRiUhaKRmk2L77wqRJsHSpn5/wta/BjBk+\nxyAikgtNIJeRp57y4ze/8AW45RYfShKRyqAJZPnEt77l+xNGjfIJ5jPPhA0bYkclImmgZFBmmjTx\nSeY1a+ArX4HDDoOrr9Z8gojsnJJBmWrVyk9Xe/5573vUoQPcfz9s3x47MhFJIs0ZVIhnnoHvf9+X\np956q7fOFpHyoTkDycoxx8Bzz8GFF/pJa9/7HqxfHzsqEUkKJYMK0qQJnHWW709o3x66d4dx4+Dv\nf48dmYjEpmRQgVq08Enl5cv//8S1X/9a+xNEKpnmDIQ//AFGj/adzZMn+wokEUkXzRlI3r7xDZ9P\nOPNM6NPHE8OmTbGjEpFSKlkyMLODzOweM5tVqs+U7DVt6pvVXn7ZD9Lp2BGmTdNSVJFKUfJhIjOb\nFUI4ZSePa5goAZ5/Hi66yJPBHXfAEUfEjkhEdqYkw0RmNs3M3jGzlfXurzazNWb2qpmNrb2vi5nN\nqfe1X2MDlDgOP9z3JlxwAZx4olcN774bOyoRKZZsh4mmA9V17zCzpsDk2vs7AaebWccQwqoQwon1\nvv67sGFLKexobbF6tbfK7tTJz2feti12ZCJSaFklgxDCYqD+lOJRwNoQwroQwlZgJjCwofcws33M\n7C6g+44qQtJhr7181/LChTBzJhx5pK9AEpHy0SyP17YB6u5h3QA02DQ5hPAX4Pxs3rimpuaT76uq\nqqiqqmpUgFJY3bpBJuNnJgweDL17w403wv77x45MpPJkMhkymUzB3i/rCWQzawfMCSF0rb09CKgO\nIYysvT0U6BlCGJ1XQJpAToW//c1PV5s+Ha64wiebm+XzTwsRyUvMfQZvAG3r3G6LVwdSAVq1gokT\n/UCdOXOgRw948snYUYlIY+WTDJYCh5hZOzPbFTgVmF2YsCQtOnaEBQugpsY3rZ19NmzcGDsqEclV\ntktLZwDPAoea2XozOyeE8DFwMfAY8DLwmxDC6kIEVVNTU9CxMCkuMxg0yDestW4NXbrAlCnasCZS\nCplM5h/mWRtLvYmk4Fas8P0J27f7UtTu3WNHJFL+1JtIEqdbN1i8GEaMgL594Yc/9AlnEUmuRCYD\nDROlX5MmMHw4rFoFf/2rb1j73e/UJluk0DRMJKmyeLEPHR14oLfJ/upXY0ckUl40TCSp8M1v+mE6\nVVVw1FEwfjxs2RI7KhHZQclASmaXXeCyy2DZMliyxA/RWbQodlQiAhomkoh+/3sYM8arhkmT1NZC\nJB9lOUykCeTKMHCg701o0wa6dvVlqNqbIJIbTSBLWVm1Cs4/39tjT5niyUFEsleWlYFUni5dvM/R\nOedAr15w+eXw4YexoxKpHEoGkhhNmviJaitWwOuve4JYsCB2VCKVQcNEkljz5sGFF8Kxx8LNN8N+\nOjxVpEFlOUykCWQB6NfP5xL239+rhOnTtYNZpD5NIEtFWb4cRo70cxTuvhsOPTR2RCLJUpaVgUh9\nPXrAc8/Bd78LRx8N11yjHcwihaRkIKnRtClccgk8/zwsXeoJ4umnY0clUh40TCSpFAI8+KAnh29/\nG268EfbeO3ZUIvFomEgq0o7T1V56yXsede4MM2dqglmksRKZDLSaSLK1555wxx3wwANw3XXQvz+s\nWxc7KpHS0WoikXq2boWbbvKmdz/5CXz/+9CsWeyoREoj32EiJQMpO6+95n2O3n0X7rkH/vmfY0ck\nUnyaMxCp5+CDYf58+MEPfHL5ssvggw9iRyWSbEoGUpbM4KyzYOVK2LABunWDJ56IHZVIcmmYSCrC\nI494n6PevX1eQctQpdxomEgkCwMGeJ+j3Xf3Zai/+52WoYrUlchkoKWlUgx77AGTJ8OsWXDllXDy\nyfDGG7GjEsmPlpaK5GHLFpgwAX7xC9+fMGKEn6cgklZaWiqSh1WrPBHstpsft6luqJJWmjMQyUOX\nLvDMM3DSSd4N9frrffOaSKVRZSBSa90636z29tu+We2II2JHJJI9VQYiBdKunR+1eeml3uPo0ku1\nWU0qh5KBSB1mMHSob1Z76y3o2hUWLowdlUjxaZhIZCfmzvXNar16+Wa1ffaJHZHIZ9MwkUgR9e/v\nK45atPDJ5lmztFlNylMik4E2nUmStGoFt9/uu5bHjfNzmLVZTZJCm85EItiyxZef3nEHjB8PI0dq\ns5okgzadiUSwahUMHw7Nm/sy1IMPjh2RVDrNGYhE0KULPPusN8Dr2RNuvhm2bYsdlUjjqTIQydPa\ntd7SYvNmmDrVu6KKlJoqA5HI2rf3g3OGDYOqKp9LUEsLSRtVBiIFtH49nHcevPkmTJsGhx8eOyKp\nFKoMRBKkbVvfqPajH0G/fnD55T58JJJ0SgYiBWYGZ54JK1b4fMJhh8HTT8eOSmTnNEwkUmQPPggX\nXwyDBvkehZYtY0ck5UjDRCIJd/LJvi/hb3/zxncLFsSOSOTTVBmIlNCjj/oEc69eMGkS7L137Iik\nXKgyEEmR6mqvEnbf3TeuPfxw7IhEXCKTgRrVSTlr1cp7G82YAZddBqeeChs3xo5K0kqN6kTKwIcf\neifUe+/1lhZnnOGrkURypUZ1ImVgyRJvfHfggXDXXXDAAbEjkrTRnIFIGTjySFi61P/bowf88pc6\nREdKS5WBSMKsWgXnnuv7EX75S7XHluyoMhApMzvaY3/7294e+5Zb1B5bik+VgUiCvfqqt8f+6CNv\nj92pU+yIJKlUGYiUsUMOgUWL4Oyz4bjj4Lrr1B5bikOVgUhK/PnPMGqU70mYPt0b4InsoMpApEIc\neCDMmwejR0Pv3lBT48NHIoWgZCCSImZwzjmwfDksW+ZLUZctix2VlAMlA5EUatMGZs+GH//YVx39\n9Kc6REfyo2QgklJmMHQovPgirFnjR2w+91zsqCStNIEsUgZCgFmzYMwYTxDXXuudUaVyaAJZRDCD\nIUNg5UrYsEFHbUruVBmIlKGHHvKjNgcPhgkToEWL2BFJsakyEJFPOekkrxI2bYJu3XzjmsjOqDIQ\nKXOPPAIXXAADBsDEiX64jpSf1FQGZjbQzKaY2Uwz612qzxWpdAMGeJWwdSt07Qrz58eOSJKo5JWB\nme0F3BRCGNHA46oMRIpk/nwYOdJ3ME+aBHvuGTsiKZSSVAZmNs3M3jGzlfXurzazNWb2qpmNrb2v\ni5nNqfe1X52XXQFMbmzAItJ4ffp4lbDLLt4qe+7c2BFJUmRVGZjZN4H3gftCCF1r72sKvAKcALwB\nLAFODyGsbuA9DLgBmB9CeHwnn6XKQKQEnnjC22Mfeyzceivss0/siCQfJakMQgiLgU317j4KWBtC\nWBdC2ArMBAbu5G1GA72AwWZ2XmOCFZHCOf54rxL23tvnEh5+OHZEElOzPF7bBlhf5/YGoGdDTw4h\n3Abcls0b19TUfPJ9VVUVVVVVjQpQRHauRQv4+c/hlFP8qM3f/AZuvx2++MXYkcnnyWQyZDKZgr1f\n1hPIZtYOmFNnmGgQUB1CGFl7eyjQM4QwOq+ANEwkEsUHH8BVV8H998Ntt3mCkPSIubT0DaBtndtt\n8epARFKoeXO46SbfvXzVVb57+Z13YkclpZJPMlgKHGJm7cxsV+BUYHYhgqqpqSlo+SMi2fv61/28\nhEMP9d3L99/vjfAkmTKZzD8MrTdWtquJZgDHAfsCG4GrQgjTzawfcCvQFJgaQrg+74A0TCSSGMuW\n+WE67drBXXfBl78cOyJpSL7DRGpHISI79dFHcN11cOedcOONMGyYd0mVZFEyEJGSeOEFX3G0//4w\nZQq0bfv5r5HSSU1volxozkAkebp395PUjj3WT1WbMkVzCUlQ0jmDUlJlIJJ8L73kcwmtWsE998BB\nB8WOSMqyMhCRZOvcGZ59Fqqr4aijYPJk2L49dlSSD1UGIpKXV17xuYRmzWDqVGjfPnZElaksKwPN\nGYikR4cO8NRTfrraN77h7S1UJZSO5gxEJHHWrvUqIQSYNg0OOSR2RJWjLCsDEUmn9u0hk4EhQ+Do\no+GWW2DbtthRSTZUGYhIUbz2Ggwf7sdtTpvmw0lSPKoMRCSRDj7YD9A54wzfmzBpkqqEJEtkMtAE\nskh5aNIELrrIN6s98ognhTVrYkdVXjSBLCKpsn073H23t8e+7DL44Q+hadPYUZUP9SYSkVR5/XWf\nS/j732H6dOjUKXZE5UFzBiKSKgcdBAsXejuLb30LbrgBPv44dlSiykBEolm3DkaMgPfe8yqhc+fY\nEaWXKgMRSa127WDBAk8IVVUwYYKqhFgSmQy0mkikcpjBqFF+qlom48durlwZO6r00GoiESk7IXiz\nu8svh0sugbFjYZddYkeVDlpNJCJlZ/16GDkSNm6EX/0KunWLHVHyac5ARMpO27Ywbx5cfDH06gXX\nXONtLaR4lAxEJJHMvAPq8uXwH//hh+i88ELsqMqXkoGIJNoBB8DcuT6H0KcP1NTARx/Fjqr8KBmI\nSOKZwbBhXiUsXepVwvLlsaMqL4lMBlpaKiKfpU0bmDPH+xr17et9jiq9StDSUhGpaG++CeedB3/6\nk684Ovzw2BHFpdVEIlKRvvxlmD3bO6BWV8MVV8CWLbGjSi8lAxFJLTMYOhRefNF3LR9xhM8pSO6U\nDEQk9b70JXj4Yd+53L8//PSnqhJypWQgImXBzI/YfPFFWL3a5xCWLIkdVXooGYhIWfmnf4IHH4Qr\nr4QBA+AnP4HNm2NHlXxKBiJSdszgtNNgxQp49VWvEp57LnZUyaalpSJS1kKAWbNgzBg46yzvc7Tb\nbrGjKryyXFqqTWciUihmMGSIVwnr1kGPHvCHP8SOqnC06UxEpBFmzYLRo31J6rXXwu67x46oMMqy\nMhARKZZTTvE9CRs2QPfu8OyzsSNKBlUGIlKxHnjAz0w4/XQYPx6aN48dUeOpMhARaaRBg7xKePtt\nrxKefjp2RPGoMhARAR56CC66yCebJ0xIX5WgykBEpABOOsmrhHffhcMOg6eeih1RaakyEBGp5/e/\nhwsv9GGk66+HFi1iR/T5VBmIiBTYwIFeJfz1r9CtGzz5ZOyIik+VgYjITsyZA+ef78NIN9wALVvG\njuizqTIQESmiE0+EVavg/fe9Sli0KHZExaHKQEQkS3Pn+lGb3/kOTJyYrCpBlYGISIn07+9VwubN\n0LUrPP547IgKR5WBiEgjzJsHo0Z5gvjZz6BVq7jxlGVloK6lIpJ0/fp5lbB1q1cJCxfGiUNdS0VE\nEuLRR71KqK6Gm26CPfYofQxlWRmIiKRJdbXvSwjBq4T582NHlDtVBiIiBTR/PowcCX37lrZKUGUg\nIpIgffr4qWqQripBlYGISJHsqBL69PEqYc89i/dZqgxERBKqTx+fS2jSxKuExx6LHVHDVBmIiJTA\nggVeJZxwAkyaVPgqQZWBiEgK9O7tcwlNmyazSlBlICJSYgsXwogRha0SVBmIiKTMCSf4XEKzZl4l\nPPpo7IhUGYiIRLWjSujVy6uEvfZq3PuoMhARSbEdVcKuu3qVMG9enDhUGYiIJMTjj3uV8C//Ajff\nnFuVoMpARKRM9OrlK452282rhH//99J9tioDEZEEeuIJGD4cqqrglls+v0pQZSAiUoaOP96rhObN\nS1MllKwyMLOvAZcA+wKPhRCmNvA8VQYiInVkUyWkpjIIIawJIVwAnAb0LdXnSunodLp00/VLruOP\n9xVHO6qEuXML/xlZJQMzm2Zm75jZynr3V5vZGjN71czG1t7Xxczm1Pvar/axE4G5wMxC/0EkPv0y\nSTddv2Rr2RLuuAPuuw9Gj4Zhw2DTpsK9f7aVwXSguu4dZtYUmFx7fyfgdDPrGEJYFUI4sd7XfwOE\nEOaEEPoBZxfuj1B4hf6haOz75fK6bJ67s+c09Fiu9ydB2q5fvtduZ49X+vVL889eQ4+ZZVixwpND\nIauErJJBCGExUD8HHQWsDSGsCyFsxf+1P7Ch9zCz48zs52Z2N7CosQGXQtp+mWT7XCWD0r6fkkHj\nKBns/LFMJkPLljB5Mvz61zBmDJxdgH9eZz2BbGbtgDkhhK61twcDfUMII2tvDwV6hhBG5xWQmWaP\nRUQaIZ8J5Gb5fG4er234TfP4w4iISOPks5roDaBtndttgQ35hSMiIjHkkwyWAoeYWTsz2xU4FZhd\nmLBERKSUsl1aOgN4FjjUzNab2TkhhI+Bi4HHgJeB34QQVhcvVBERKZbE9SYSEZHSU28iERFJdjIw\nsxZmdq+ZTTGzM2LHI7kxs4PM7B4zmxU7FsmdmQ2s/dmbaWa9Y8cj2TOzr5nZnWb2WzMbntVrkjxM\nZGZnAn8JIcw1s5khhNNixyS5M7NZIYRTYschjWNmewE3hRBGxI5FcmNmTYCZIYQhn/fcklcGufQ5\nAtoA62u/31bSQOUz5Xj9JGEaef2uwFvPSES5Xrtce8HFGCbKus8Rvm9hx16GRA9pVZBcrp8kT9bX\nz9yNwLwQwgulD1XqyelnL9decPnsQG6UEMLi2tYWdX3S5wjAzHb0OboNmGxm/dEehkTI5fqZ2TvA\nBKC7mY0NIdxYyljl03L8+TsB6AXsYWbtQwh3lzBUqSfHn73WwMnAbmTZC67kyaABdYeDwCuCniGE\nD4Bz44QkOWjo+v0FOD9OSJKDhq7faOD2OCFJlhq6dk8CT+byRkkZeknuLLZkQ9cv3XT90qtg1y4p\nyUB9jtJN1y/ddP3Sq2DXLinJQH2O0k3XL910/dKrYNcuxtJS9TlKMV2/dNP1S69iX7tEbzoTEZHS\nSMowkYiIRKRkICIiSgYiIqJkICIiKBmIiAhKBiIigpKBiIigZCAiIsD/AcFkXGd8gUZnAAAAAElF\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }