{ "metadata": { "name": "", "signature": "sha256:6a6362052062252dccefefb17735671f4e725e00025f1287c2b752351e7e95c8" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Stochastic resonance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'd like to adapt a figure from Zeng et al (2000) to illustrate [a blog post](http://www.agilegeoscience.com/journal/2014/6/9/the-nonlinear-ear.html) about nonlinear audition. (Note, the post will be up at about 1300 UTC on Monday 9 June 2014.)\n", "\n", "Zeng FG, Fu Q, Morse R (2000). Human hearing enhanced by noise. *Brain Research* **869**, 251\u2013255." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(500)\n", "y = 0.3 + np.sin(x/20.)/5\n", "noisy = y + np.random.rand(500)/3 - (3./20)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x, y)\n", "plt.plot(x, noisy, alpha=0.5)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AvB4OUUC7TuyipLoEcPk2XLWAVEXlx/9isO6OKOPH40wEk6JO5AlOQWHdWpX6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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Build the figure" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(12,4))\n", "\n", "plt.subplot(121)\n", "plt.plot(x, y, lw=2, color='k')\n", "plt.text(10, 0.05, \"signal we'd like to detect\", color='k')\n", "plt.hlines(0.6, 0, 500, color='b', linestyles='--')\n", "plt.text(10, 0.62, 'detection threshold', color='b')\n", "plt.ylabel('amplitude')\n", "plt.xlabel('time (ms)')\n", "plt.ylim(0, 0.8)\n", "plt.xlim(0, 500)\n", "\n", "plt.subplot(122)\n", "plt.plot(x, noisy, color='g', alpha=0.8)\n", "plt.plot(x, y, color='k', lw=2)\n", "plt.hlines(0.6, 0, 500, color='b', linestyles='--')\n", "plt.text(10, 0.69, \"additive noise\", color='g')\n", "plt.xlabel('time (ms)')\n", "plt.ylim(0, 0.8)\n", "plt.xlim(0, 500)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KPNaV2SVCEc881uZb9JZluFUZm2QzJu+Bd4S6PotDz5RwlVlBPCPWeluZUxHK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\nHmtREqliTdpSElyav3qDEz7Bh2SrHN2lTLcXDWizMNDXGYYqimRxT3z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ImXywY8cONDc3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\nyFf30HUwrP3Ex1pVrJ1dQfSo/ctsMFNkd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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "2D image example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can form a 2D signal below some threshold, infest it with noise, and try to recover it." ] }, { "cell_type": "code", "collapsed": false, "input": [ "signal_level = 0.7\n", "noise_level = 1.0\n", "threshold_level = 1.1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "im = np.zeros((64,64))\n", "im[16:48,16:48] = signal_level\n", "\n", "plt.imshow(im, interpolation=\"None\")\n", "plt.set_cmap('Greys')\n", "plt.colorbar()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GBiEiIkJ47bXXhISEBOH9998X2traBsR/uwPZM3X7haDwdQ2bzYbly5ejqKgI\nQUFBitQzZMgQXLx4Ed9//z3+9Kc/oaamRpE6vvzyS7z88svQarUO+1fq3+ibb77BxYsXsWXLFrz9\n9tu4c+eOIrWwa5lrvBZkOp3O4Wl2q9WKxMREb+1OliednwA47fzkDQ8ePEB6ejpWrVoFo9GoeD1h\nYWFYuHAhqqqqFKnj9OnTOHToEMaPH4+MjAz84x//wKpVqxT7mYwdOxYAEBUVhUWLFuHw4cOK1NK1\na1lgYCAyMjJw/PhxRf9bUQOvBZmcG+L6m16vh8lkQnt7O0wmU78FqyAIyMrKwuTJk7F+/XrF6mls\nbMRPP/0EALh37x6++uorGI1GRX4umzdvRkNDA65fv479+/dj3rx52LNnjyK1tLW1wWazAXh8d/mJ\nEyeQkpKi2H8vEydORFVVFR49eoQjR44gOTlZsVpUw5vHrWazWYiMjBR+/vOfC8XFxd7cVQ8rVqwQ\nxo4dKzz33HNCSEiIYDKZhObmZmHRokXCuHHjBKPRKNhstn6p5euvvxZ8fHyEuLg4IT4+XoiPjxeO\nHTvW7/VcunRJ0Gq1QmxsrDB//nzhL3/5iyAIgmI/lyfMZrOQlpamWC3Xrl0T4uLihLi4OGHevHnC\nJ598olgtgiAI3333naDX64W4uDjhnXfeEVpaWhT/NxroeEMsEaneM3Wyn4gGJwYZEakeg4yIVI9B\nRkSqxyAjItVjkBGR6jHIiEj1/gfeGKxirWfnYwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll define a function to threshold an array. Pass in an array (image) and a level to threshold at." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def threshold(im, value=0.5, mode='same'):\n", " t = np.copy(im)\n", " t[t=value] = 1\n", " return t" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now threshold so we can't see the square." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(threshold(im, value=threshold_level), interpolation=\"None\")\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "noise = np.random.rand(64,64) * noise_level - noise_level/2\n", "noised = im + noise\n", "plt.imshow(noised, interpolation=\"None\")\n", "plt.colorbar()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WXOemcyBxq5rBHobcrAvYpbt6EXLapK0TTI9gugUAnHrqqWGcl5dnYpx+KHufhRt5+x6w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\n85VXXgnj7OxsE+PUT5fc7NupLPVHHnkkjNUT8uC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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "noise = np.random.rand(64,64) * noise_level - noise_level/2\n", "noised = im + noise\n", "thresholded = threshold(noised, threshold_level)\n", "plt.imshow(thresholded, interpolation=\"None\", vmin=1)\n", "plt.colorbar()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(18,4))\n", "\n", "plt.subplot(141)\n", "plt.title('Signal at {}'.format(signal_level))\n", "plt.imshow(im, interpolation=\"None\", cmap=\"Greys\")\n", "plt.ylim(0, 64)\n", "plt.xlim(0, 64)\n", "plt.hlines(32, 0, 64, color='r')\n", "\n", "plt.subplot(142)\n", "plt.title('Noise at {0}'.format(noise_level))\n", "plt.imshow(noise, interpolation=\"None\", cmap=\"Greys\")\n", "plt.ylim(0, 64)\n", "plt.xlim(0, 64)\n", "plt.hlines(32, 0, 64, color='r')\n", "\n", "plt.subplot(143)\n", "plt.title('Section across signal and noise', color='r')\n", "plt.plot(im[32,:], lw=2, color='k')\n", "plt.plot(noised[32,:], color='g')\n", "plt.ylim(-0.1, 1.3)\n", "plt.xlim(0, 64)\n", "plt.hlines(1.1, 0, 64, color='b')\n", "plt.text(3, 1.12, 'threshold', color='b')\n", "plt.text(6, 0.63, 'signal', color='k')\n", "plt.text(15, 0.90, 'noisy\\nsignal', color='g', horizontalalignment='right')\n", "\n", "plt.subplot(144)\n", "plt.title('Detected signal')\n", "plt.imshow(thresholded, interpolation=\"None\", cmap=\"Greys\", vmin=1)\n", "plt.hlines(32, 0, 64, color='r')\n", "plt.show()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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p1Wqm9+3bx/T7778vjMvIyGC6efPmgm3FihVMv/3220w/fvxYGBccHMx0zZo1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+Kq4pDWkb7XSmPToLQqvkSBLlkHh7v2Ww+mr56ObjndcEfvO2r92AzDNGwiJgr+/vtvjB49GocP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\nBpdrXL9+vTCWn5+PtrY2fPrpp4Kmhfz95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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We should probably add noise to the detected image. This is the thermal noise in the detection system, unlike the other noise, which was the noise we added to the 'input', so to speak." ] }, { "cell_type": "code", "collapsed": false, "input": [ "rec_noise = np.random.rand(64,64) + 0.5\n", "recorded = thresholded + rec_noise\n", "\n", "plt.imshow(recorded, interpolation=\"None\", cmap=\"Greys\", vmin=1)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kk2aJcbteqxBhPrAsorfKiuxjGU0lNJauuIAmm6ZAmDWoxSmsCDZGs9BYituV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\nUpkVrsuNDbSAJsuaWtmFj6+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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Digging deeper" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "**Everything after this point is a work in progress and probably wrong.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if we just add a ton of noise and threshold? Is that more realistic?\n", "\n", "Also, let's switch to a different noise distribution. It seems that when I use a uniform distribution like `numpy.random.rand` I don't get the reduction in S:N that you expect when you add more and more noise. Instead, we'll use a logarithmic distribution. It's going to be a nasty hack to get reasonable standard deviation for it... " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.stats\n", "\n", "signal_level = 0.3\n", "noise_level = 0.4\n", "threshold_level = 1\n", "\n", "im = np.zeros((64,64))\n", "im[16:48,16:48] = signal_level\n", "\n", "# Use a different distribution, with a nasty hack for the standard deviation\n", "noise = np.random.lognormal(noise_level, (noise_level+1)/6, 64*64).reshape((64,64))\n", "#noise = np.random.rand(64,64) * noise_level - noise_level/2\n", "noised = im + noise\n", "\n", "thresholded = threshold(noised, threshold_level)\n", "\n", "plt.figure(figsize=(18,5))\n", "\n", "plt.subplot(131)\n", "plt.imshow(threshold(im, threshold_level), interpolation=\"None\")\n", "plt.title('S:N {0}'.format(scipy.stats.signaltonoise(threshold(im, threshold_level), axis=None)))\n", "plt.colorbar(shrink=0.8)\n", "\n", "plt.subplot(132)\n", "plt.imshow(noised, interpolation=\"None\")\n", "plt.title('S:N {0}'.format(scipy.stats.signaltonoise(noised, axis=None)))\n", "plt.colorbar(shrink=0.8)\n", "\n", "plt.subplot(133)\n", "plt.imshow(thresholded, interpolation=\"None\")\n", "plt.title('S:N {0}'.format(scipy.stats.signaltonoise(thresholded, axis=None)))\n", "plt.colorbar(shrink=0.8)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YrK33FEUBoK330isul8tqBcTpfjNmzDDjpk2bWj5OgZbt0vhCxqmBMs2fUy8Z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\ntnOzpZhsF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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can track the S:N as we increase noise:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "signal_level = 0.3\n", "threshold_level = 1\n", "\n", "im = np.zeros((64,64))\n", "im[16:48,16:48] = signal_level\n", "\n", "ston = []\n", "r = np.arange(0,3.,0.05)\n", "\n", "for n in r:\n", " noise = np.random.lognormal(n, (n+1)/6, 64*64).reshape((64,64))\n", " #noise = np.random.rand(64,64) * n - n/2\n", " noised = im + noise\n", " thresholded = threshold(noised, threshold_level)\n", " ston.append(scipy.stats.signaltonoise(thresholded, axis=None))\n", " \n", "plt.plot(r, ston)\n", "plt.title('Max at {0}'.format(r[max(enumerate(ston),key=lambda x: x[1])[0]]))\n", "plt.ylabel('signal:noise')\n", "plt.xlabel('mean of noise distribution')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "I think this looks about right. And we've established that the Goldilocks value is 0.55 for this type of noise. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But when I go back and explore the different levels of noise, it looks better for smaller values. Also, a perfect black square doesn't score well on this S:N measure. So I think I need to revisit this. Stay tuned..." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 } ], "metadata": {} } ] }