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@keflavich
Created September 19, 2012 16:59
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LogNormal tests
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{
"metadata": {
"name": "LogNormal Tests"
},
"name": "LogNormal Tests",
"nbformat": 2,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"source": "Comparison of the derived power spectra and density PDFs for lognormal power distributions. Obviously (if you think about it), the power spectra are always flat for randomly distributed signal. The PDFs change significantly."
},
{
"cell_type": "code",
"collapsed": false,
"input": "img = np.zeros([128,128])\nnorm = np.random.randn(128,128)\nimport agpy\nlognorm = 10**(norm)*0.1 # peak amplitude ~ 0.1 Jy\nlognorm_noisy = lognorm + np.random.randn(128,128)*0.03 # add noise at the 0.03 Jy level (like Bolocam)\nclf(); \nsubplot(121); imshow(log10(lognorm)); colorbar()\nsubplot(122); imshow(log10(lognorm_noisy)); colorbar();",
"language": "python",
"outputs": [
{
"output_type": "display_data",
"png": 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n+o1+MzVOU9SjdVqu8j/EquNnPnr0oWQ1/+k72qRFuk5Pa9fhc+WX9YbOVLde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\n"
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": true,
"input": "rr,zz = agpy.psds.power_spectrum(lognorm)\nrrn,zzn = agpy.psds.power_spectrum(lognorm_noisy)",
"language": "python",
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": "clf()\nsubplot(121); loglog(rr,zz,label=\"Lognormal PSD\"); loglog(rrn,zzn,label=\"Noisy Lognormal PSD\")\nsubplot(122); hist(lognorm.flat,bins=logspace(-3,3)); gca().set_xscale('log')\nhist(lognorm_noisy.flat,bins=logspace(-3,3),color='r',alpha=0.5,histtype='stepfilled');\nfigure();\nsemilogy(rr,zz,label=\"Lognormal PSD\"); semilogy(rrn,zzn,label=\"Noisy Lognormal PSD\")",
"language": "python",
"outputs": [
{
"output_type": "pyout",
"prompt_number": 31,
"text": "[<matplotlib.lines.Line2D at 0x111bd8390>]"
},
{
"output_type": "display_data",
"png": 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},
{
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4uYqDvU0lVEaknhG9esqCpNFyM+2c/KfHPIvuq0tLb7k287/yysx50vvbLuKQ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\nAABJRU5ErkJggg==\n"
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"source": "So apparently there's no difference in the power spectrum and only a subtle difference in the PSD. I'll do the same thing with a lower peak, sub-noise"
},
{
"cell_type": "code",
"collapsed": false,
"input": "lognorm = 10**(norm)*0.01 # peak amplitude ~ 0.01 Jy\nlognorm_noisy = lognorm + np.random.randn(128,128)*0.03 # add noise at the 0.03 Jy level (like Bolocam)\nfigure(); \nsubplot(121); imshow(log10(lognorm)); colorbar()\nsubplot(122); imshow(log10(lognorm_noisy)); colorbar();\nrr,zz = agpy.psds.power_spectrum(lognorm)\nrrn,zzn = agpy.psds.power_spectrum(lognorm_noisy)\nfigure()\nsubplot(121); loglog(rr,zz,label=\"Lognormal PSD\"); loglog(rrn,zzn,label=\"Noisy Lognormal PSD\")\nsubplot(122); hist(lognorm.flat,bins=logspace(-3,3)); gca().set_xscale('log')\nhist(lognorm_noisy.flat,bins=logspace(-3,3),color='r',alpha=0.5,histtype='stepfilled');\nfigure();\nsemilogy(rr,zz,label=\"Lognormal PSD\"); semilogy(rrn,zzn,label=\"Noisy Lognormal PSD\")\nfigure()\nplot(rr,zz-zzn)",
"language": "python",
"outputs": [
{
"output_type": "pyout",
"prompt_number": 33,
"text": "[<matplotlib.lines.Line2D at 0x115609810>]"
},
{
"output_type": "display_data",
"png": 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LMvS6zpP/z/6i2L/WyPvaf+h0rddazZKmSps1TZot3TE1S+++EqgVWqAz1a6u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\nc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Y6Ucf65BjTnosVPPoAX3zCEZ0i1IYwG054J9OQTJhNNAMm04GteYRlbPDcxIKs6+Qxj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},
{
"output_type": "display_data",
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},
{
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},
{
"output_type": "display_data",
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oqNi3b98glXJgeLIvuktOTh62VzF5si+qqqrEjBkzxOnTp8Xx48fF\n5MmTRVNT0yCV2H882Rd/+MMfxIMPPija29vFF198IUJDQweptP5ns9k8GqS+mHpzSLUg1Go1srOz\nsXjxYrS1tWHVqlW4/vrr8cc//hEAsGbNGtx5553Ys2cPwsPDcfnllyMnJ2eQS+0fnuyLp556Cg0N\nDfjJT34CANBoNNi/f/9gFtsvPNkX3xSe7IspU6bAZDJh+vTp+Prrr/HYY4/hiiuuGOSS9z9P9sWy\nZctQWVmJ6dOnY/z48di8efMgl9o/EhISsHv3bhw7dgzBwcFIT09Ha2srAN/qzYD6RTkiIho437yR\nGiIi8ggDgoiI3GJAEBGRWwwIIiJyiwFBRERuMSCIiMit/w9JjTPH0kvG0wAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 33
},
{
"cell_type": "markdown",
"source": "Any power spectrum differences are exceedingly subtle, at the $10^{-2}$ level"
},
{
"cell_type": "code",
"collapsed": false,
"input": "lognorm = 10**(norm)*0.001 # peak amplitude ~ 0.001 Jy\nlognorm_noisy = lognorm + np.random.randn(128,128)*0.03 # add noise at the 0.03 Jy level (like Bolocam)\nfigure(); \nsubplot(121); imshow(log10(lognorm)); colorbar()\nsubplot(122); imshow(log10(lognorm_noisy)); colorbar();\nrr,zz = agpy.psds.power_spectrum(lognorm)\nrrn,zzn = agpy.psds.power_spectrum(lognorm_noisy)\nfigure()\nsubplot(121); loglog(rr,zz,label=\"Lognormal PSD\"); loglog(rrn,zzn,label=\"Noisy Lognormal PSD\")\nsubplot(122); hist(lognorm.flat,bins=logspace(-3,3)); gca().set_xscale('log')\nhist(lognorm_noisy.flat,bins=logspace(-3,3),color='r',alpha=0.5,histtype='stepfilled');\nfigure();\nsemilogy(rr,zz,label=\"Lognormal PSD\"); semilogy(rrn,zzn,label=\"Noisy Lognormal PSD\")\nfigure()\nplot(rr,zz-zzn)",
"language": "python",
"outputs": [
{
"output_type": "pyout",
"prompt_number": 34,
"text": "[<matplotlib.lines.Line2D at 0x116ba1f10>]"
},
{
"output_type": "display_data",
"png": 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pZYpUG5idJtkGhWV/6HAdlKvWOSbWejACyvy/m1LrZzcwn4My8WZqLVM0biFQ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\nSDUK9Fn5W7EO1l6XRQ2VJM41Dq1IUTrc3Ar/MVNzlakENaqLixRO5wT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7mfvnp3jhx9M4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\nAY1Go/kZo42ARqPR/IzRRkCj0Wh+xvwfxJGSV+U8gXYAAAAASUVORK5CYII=\n"
},
{
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FHVe1A7GyawCDTodBp8NVjvA7JTnSF0K0w8VbKn4AvLhsBVALQI8e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\n"
},
{
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j5/0Bt4mt4Du3We6/JXtzRjBMPoyTkJCQL+yPHDmCLl265D6eP38+5s+fD5VK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\nZAUY9kREVuD/AZtVOfqn0ypvAAAAAElFTkSuQmCC\n"
},
{
"output_type": "display_data",
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qSailnTt1I223a/vvvisyeHBjTpw6pXtY7o4XmMUyQb9sWWOJYPBg11vVjrji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\n"
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": "lognorm = 10**(norm)*1.0 # peak amplitude ~ 1.0 Jy\nlognorm_noisy = lognorm + np.random.randn(128,128)*0.03 # add noise at the 0.03 Jy level (like Bolocam)\nfigure(); \nsubplot(121); imshow(log10(lognorm)); colorbar()\nsubplot(122); imshow(log10(lognorm_noisy)); colorbar();\nrr,zz = agpy.psds.power_spectrum(lognorm)\nrrn,zzn = agpy.psds.power_spectrum(lognorm_noisy)\nfigure()\nsubplot(121); loglog(rr,zz,label=\"Lognormal PSD\"); loglog(rrn,zzn,label=\"Noisy Lognormal PSD\")\nsubplot(122); hist(lognorm.flat,bins=logspace(-3,3)); gca().set_xscale('log')\nhist(lognorm_noisy.flat,bins=logspace(-3,3),color='r',alpha=0.5,histtype='stepfilled');\nfigure();\nsemilogy(rr,zz,label=\"Lognormal PSD\"); semilogy(rrn,zzn,label=\"Noisy Lognormal PSD\")\nfigure()\nplot(rr,zz-zzn)",
"language": "python",
"outputs": [
{
"output_type": "pyout",
"prompt_number": 35,
"text": "[<matplotlib.lines.Line2D at 0x118083f50>]"
},
{
"output_type": "display_data",
"png": 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BEuhHASO/LKTebO0cWdR2E4aQ36hH/KQY1cA2odFpfHiInBmzSgMFsJ9RRxHR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pyVrGAuWxjKRc4wggtWjhRgzQCusDNlHl+yhiwcqKI516fYYEIZx/u5MK38ME15RS62qGnJQNIo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\nys1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},
{
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},
{
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MqSFPTp1ZpdPaiOzNZDKLOq6xLNz4s2B0zXI/UdlLscEoA6a99/cn5Y/FZDLL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\nRU5ErkJggg==\n"
},
{
"output_type": "display_data",
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Zs3jwwQdx/vx5REZG4uWXX0bv3r1daAoiInKZ9AAHDhyQoUOHSnh4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\n"
}
],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": true,
"input": "",
"language": "python",
"outputs": [],
"prompt_number": " "
}
]
}
]
}
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