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perseus_bg
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{ | |
"metadata": { | |
"name": "perseus" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Motivation\n", | |
"==========\n", | |
"\n", | |
"If you plot the distribution of peak Temperatures for each line of sight in the $^{12}$CO PERSEUS COMPLETE cube, you get a bimodal distribution" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from astropy.io import fits\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"cube = fits.getdata('../PerA_12coFCRAO_F_xyv_TAN.fits')[:, ::2, ::2]\n", | |
"cube /= .45 # correct for eta_mb" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"pk12 = np.nanmax(cube, axis=0)\n", | |
"plt.figure(figsize=(8,8), dpi=800)\n", | |
"plt.hist(pk12[pk12 > 0].ravel(), bins=70, range=[0, 20], fc='#dddddd')\n", | |
"plt.xlabel(\"$T_{peak}$\")\n", | |
"plt.ylabel(\"N\")\n", | |
"plt.title(\"Distribution of T_peak for $^{12}CO$\")\n", | |
"\n", | |
"plt.figure(figsize=(12,8), dpi=800)\n", | |
"im = plt.imshow(pk12)\n", | |
"plt.title(\"$T_{peak}$\")\n", | |
"plt.colorbar()\n", | |
"\n", | |
"plt.figure(figsize=(12,8), dpi=800)\n", | |
"good = (pk12 > 0) & (pk12 < 5)\n", | |
"plt.imshow(np.where(good, pk12, np.nan), norm=im.norm)\n", | |
"plt.title(\"$T_{peak} < 5K$\")\n", | |
"plt.colorbar()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 2, | |
"text": [ | |
"<matplotlib.colorbar.Colorbar instance at 0x164a7bc68>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
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UaPbs2ZKktLQ0FRYWqr29XXV1daqpqVFSUlKgygUAwBgB/SKcV155RQ899JDa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\nADAcYQ8AgOH+D/tlBTLoCqNTAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x10f077150>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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DwABZVvJi1Y7jOI5zHmloaODxxx+nqamJSqXCzp072bNnD1mWcdddd3HXXXed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\n8NyXVm4Ru52RnIVsm/3Uf4yLSvZDOBgV298qW1+1mvYgsgzUQh92wM3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XYRmCwcuoKAIz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\nwjE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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x1647f9750>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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GYCLxWdCqZnyNopgpIWxHCD8EMCZBKIQQYmFxWhVuVaYOg5mcAtIJE2qMAq6A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\nnntsZMJDAskAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1648d8350>" | |
] | |
} | |
], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The upper peak is the bright gas. Is the lower peak the noise distribution, or is it tracing a faint, diffuse emission?\n", | |
"\n", | |
"First, we estimate the noise of each spectrum in the cube" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"bg = cube[:75, :, :] # first 75 channels seem signal free. use to estimate rms\n", | |
"noise = np.std(bg, axis=0)\n", | |
"\n", | |
"plt.figure(figsize=(12, 8), dpi=500)\n", | |
"noise_im = plt.imshow(noise)\n", | |
"plt.colorbar()\n", | |
"plt.title(\"RMS Noise (K)\")\n", | |
"print \"Mean rms is %0.3f K\" % (np.nansum(noise) / np.isfinite(noise).sum())\n", | |
"\n", | |
"plt.figure(figsize=(12, 8), dpi=500)\n", | |
"plt.imshow(np.nansum(bg, axis=0))\n", | |
"plt.title(\"$T_{sum}$ over blank channels\")" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"Mean rms is 0.665 K\n" | |
] | |
}, | |
{ | |
"output_type": "pyout", | |
"prompt_number": 6, | |
"text": [ | |
"<matplotlib.text.Text at 0x16274f8d0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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WUzXkZf6Pz+76gRuGYRhGhpIxySe/6od5L7Gs5I9FhEZy6Gb5y8eLIFQrXKrb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+nHc5DQRBb8vvyOL3sAGxgK/v8qBjL3YPu7xQ9PYFDsi7KSL8JtZvwaCFj2+aWv+uciopzbdt+n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\nxNy/IGZM5jj32M2xlW7+k/m7iQEV6YfaitUmD+cjfjFNippc0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1kAlgX69A6rHvv93ioY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\n4OENRFqyGwIMqeHySuDHiJZyUui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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x10ca1d590>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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8zA7JVoqO28F6NdJtT3R1qJAjRYNB5rvPcEQB+HWN46xL7oAoK32amdLUxpvV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\nrkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x162741a90>" | |
] | |
} | |
], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Specifically, we are interested in the spectra where $T_{peak} < 5K$. These pixels:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"mask = (pk12 > 0) & (pk12 < 5)\n", | |
"plt.imshow(mask * noise)\n", | |
"plt.title(\"RMS of faint pixels\")\n", | |
"plt.colorbar()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 7, | |
"text": [ | |
"<matplotlib.colorbar.Colorbar instance at 0x162685cb0>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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1ShD7uw1noOLLqxRwYdYKcxSLFr1Rr4zlvyQnjxf/u3jEm1IWwlq2Q7ylJUHO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\nkImIVOL/AZmqYrc5Cav2AAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1622b6110>" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Let's assume this map represents the noise in the signal-free channels throughout the cube. What distribution of Tpeak would we expect in the absence of signal?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def draw_pk(noise_map, channels):\n", | |
" shp = noise_map.shape\n", | |
" result = np.zeros(shp)\n", | |
" for i in range(channels):\n", | |
" x = np.random.normal(0, 1, shp) * noise_map\n", | |
" result = np.where(x > result, x, result)\n", | |
" return result\n", | |
"\n", | |
"x = draw_pk(noise, cube.shape[0])\n", | |
"\n", | |
"#only look at lines of sight from the lower peak\n", | |
"mask = (pk12 > 0) & (pk12 < 5)\n", | |
"\n", | |
"plt.figure(dpi=500)\n", | |
"plt.hist(x[mask].ravel(), bins = 80, alpha=0.5, range=[0, 20], label='Simulated Data')\n", | |
"plt.hist(pk12[pk12 > 0].ravel(), bins=80, alpha=0.5, range=[0, 20], label='Data', fc='#dddddd')\n", | |
"plt.xlabel(\"$T_{peak}$\")\n", | |
"plt.legend()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 8, | |
"text": [ | |
"<matplotlib.legend.Legend at 0x169ad5f50>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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1CS7l0qVLUpfgMlzptexqGklnvY7g0OAvLCzEypUrcffuXSxduhRr1qyxaXtO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\nzP8DkKePK6T8nDkAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x16274c350>" | |
] | |
} | |
], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The grey is the original data from before. The blue is a simulation, where we sample gaussian noise for all the lines of sight that contribute to $T_{peak} < 5$. The RMS for each line of sight is taken from the noise map above.\n", | |
"\n", | |
"The rms is roughly able to reproduce the lower peak. The peak in the data is slightly higher, indicating a potential weak signal (or a ~50% underestimate of the noise -- see below). Overall, I don't see this as compelling evidence for signal in the lower peak.\n", | |
"\n", | |
"How strong is the excess in the data? About 50%:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"factor = 1.5\n", | |
"\n", | |
"plt.figure(figsize=(12, 8), dpi=500)\n", | |
"plt.hist(x[mask].ravel() * factor, bins = 80, alpha=0.5, range=[0, 20], label='Simulated (noise increased by 50%')\n", | |
"plt.hist(pk12[pk12 > 0].ravel(), bins=80, alpha=0.5, range=[0, 20], label='Data', fc='#dddddd')\n", | |
"plt.xlabel(\"$T_{peak}$\")\n", | |
"plt.legend()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 18, | |
"text": [ | |
"<matplotlib.legend.Legend at 0x160c65990>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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D5eHhoTVr1shkMkmS1qxZo5kzZ6q8vFwPPvigJk6c2PJX1s516tRBc+bY3zEt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\n5Enl5OQoNDS0mS4BAAAAaFm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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x160dea790>" | |
] | |
} | |
], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Followup - Smoothing\n", | |
"=========\n", | |
"\n", | |
"Another test -- if the low peak is real (and corresponds to a feature more than a few channels wide), then spectrally smoothing should preserve the distribution. However, if the peak is driven by noise, then smoothing should shift it to the left." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy import signal\n", | |
"\n", | |
"def smooth(cube, channels):\n", | |
" w = np.ones((channels, 1, 1))\n", | |
" w /= w.sum()\n", | |
" return signal.convolve(cube, w)\n", | |
"s = smooth(cube[:, ::2, ::2], 4)\n", | |
"s = np.nanmax(s, axis=0)\n", | |
"\n", | |
"plt.figure(figsize=(12, 8), dpi=500)\n", | |
"h = plt.hist(pk12.ravel(), bins=80, range=[0, 20], normed=True, label='Data', fc = '#dddddd')\n", | |
"h = plt.hist(s.ravel(), bins=80, alpha=0.5, range=[0, 20], normed=True, label='Spectrally Smoothed', fc='#dd8888')\n", | |
"plt.legend()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 18, | |
"text": [ | |
"<matplotlib.legend.Legend at 0x178551e90>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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CMgAAAGCAVS8QkayWf2PpNwAAYIWgjIhktfwbS78BYcBiN1GJHTABhBZBGQAQ\nEla7iUpSRXl5kKoBgLMxRxlhx263y2azmT6cTmeoywQAABGOEWWEHY/Ho7q6OtM+6enppu2lpaU6\nuWeP3/YD+/d3qzYAABA9CMqISKdbW7WkoMBve8XChUGsBgAA9EVMvQAAAAAMEJQBAAAAAwRlAAAA\nwABBGQAQ1ZxOJ6vsADDEzXwAgIj17XKTVsxW2rFaZQdA5CIoAwAiViCWmwQQvZh6AQAAABhgRBnw\n48D+/SoqLg51GQAAIEQIyoAfnvZ2Ni0BACCKMfUCAAAAMGA5olxZWamlS5fK4/FowYIFuvfee8/q\nU1BQoIqKCiUmJmr9+vWaMGGCJMntdmvBggX66KOPZLPZ9Nxzz+lHP/pR4K8C6CKbxLQKAABgyjQo\nezweLV68WDt27JDL5dLEiROVnZ2tzMxMX5/t27dr3759qq2tVXV1tRYtWqRdu3ZJkpYsWaLp06fr\n1VdfVVtbm77++uvevRpEDasln1wOh+nxXsl0WoXE1AoAAKKdaVDevXu3MjIylJaWJkmaPXu2tmzZ\n0iEob926Vbm5uZKkSZMmye126+jRo4qPj9fOnTu1YcOGb94oJkaDBw/upctAtLFa8mlyVlYQqwEA\nAJHINCg3NjZq+PDhvuepqamqrq627HPw4EHZ7XYlJyfr9ttv1wcffKDLL79ca9asUWJiYofji4qK\nfP+eMmWKpkyZ0oPLgSmvV2tWrjTtMighIUjFAAAA9J6qqipVVVX16BymQbkzuxlJktfrPeu4trY2\nvffeeyopKdHEiRO1dOlSPfLII3rooYc69P1uUEbvSoyL05IZM0z7lG3eHKRqAAAAes/3B2CLu3Fv\nkumqFy6XSw0NDb7nDQ0NSk1NNe1z8OBBuVwupaamKjU1VRMnTpQkzZw5U++9916XCwQAAABCwTQo\nZ2Vlqba2VvX19WptbdWmTZuUnZ3doU92drY2btwoSdq1a5eSkpKUkpKioUOHavjw4fr0008lSTt2\n7NC4ceN66TIAAACAwDKdehETE6OSkhJNnTpVHo9HeXl5yszM1Nq1ayVJ+fn5mj59urZv366MjAz1\n799f69at8x3/1FNPae7cuWptbVV6enqHNqAnBiUkmM63jrXbg1gNAACIRJbrKE+bNk3Tpk3r8Fp+\nfn6H5yUlJYbHjh8/Xm+//XYPygOMDYyPN51vXVFeHsRqAABAJGJnPgAAAMAAQRkAAAAwQFAGAAAA\nDBCUAQBGM5/CAAAT2UlEQVQAAAOWN/MBABC2LHYcZbdRAD1BUEbYsVr6TWL5NwDfsNpxlN1GAfQE\nQRlhx2rpN4nl3wAAQO9jjjIAAABggKAMAAAAGCAoAwAAAAYIygAAAIABgjIAAABggFUvEHRWy7+x\n9BsAAAgHBGUEndXybyz9BgAAwgFTLwAAAAADBGUAAADAAEEZAAATdrtdNpvN9OF0OkNdJoBewBxl\nAABMeDwe1dXVmfZJT08PUjUAgokRZQAAAMAAQRkAAAAwQFAGAAAADBCUAQAAAAMEZQAAAMAAQRkA\nAAAwwPJwCLhBCQlas3Kl3/ZYuz2I1QAAAHQPQRkBNzA+XktmzPDbXlFeHsRqAAAAuoepFwAAAIAB\ngjIAAABggKAMAAAAGIj4Ocori4t1yu027fPhBx9IOTlBqggAEDRer+nNxdI3NyD3lN1ul81m89vu\ncDjU1NTU4/cBEFwRH5RPud0qtAjBc99+O0jV9AEWP1TOGzDA8ocOq1oACBeJcXGmNxdLUtnmzT1+\nH4/Ho7q6Or/t6enpPX4PAMEX8UEZXWP1Q6WivNzyhw6rWgAAgEjAHGUAAADAAEEZAAAAMEBQBgAA\nAAwQlAEAAAAD3MwHAIhuFqv9BGL5OAB9E0EZABDVrFb7CcTycQD6JqZeAAAAAAYIygAAAIABgjIA\nAABggKAMAAAAGCAoAwAAAAYIygAAAIABgjIAAABggKAMAEAvs9vtstlsfh9OpzPUJQIwwIYjAAD0\nMo/Ho7q6Or/t6enpQawGQGcxogwAAAAYICgDAAAABgjKAAAAgAGCMgAAAGCAoAwAAAAYICgDAAAA\nBgjKAAAAgAGCMgAAAGCAoAwAAAAYICgDAAAABgjKAAAAgAGCMgAAAGCAoAwAAAAYICgDAAAABgjK\nAAAAgAGCMgAAAGCAoAwAQIjZ7XbZbDbTh9PpDHWZQNSJCXUBAABEO4/Ho7q6OtM+6enpQaoGwLcs\nR5QrKys1ZswYjR49Wo8++qhhn4KCAo0ePVrjx49XTU1NhzaPx6MJEybohhtuCEzFAAAAQBCYBmWP\nx6PFixersrJSe/fuVWlpqT7++OMOfbZv3659+/aptrZWv/vd77Ro0aIO7WvWrNHYsWNls9kCXz0A\nAADQS0yD8u7du5WRkaG0tDTFxsZq9uzZ2rJlS4c+W7duVW5uriRp0qRJcrvdOnr0qCTp4MGD2r59\nuxYsWCCv19tLlwAAAAAEnukc5cbGRg0fPtz3PDU1VdXV1ZZ9GhsblZKSomXLlumxxx7TiRMn/L5H\nUVGR799TpkzRlClTungJAAAAQEdVVVWqqqrq0TlMg3Jnp0t8f7TY6/WqvLxcQ4YM0YQJE0yL/G5Q\nBgAAAALh+wOwxcXFXT6H6dQLl8ulhoYG3/OGhgalpqaa9jl48KBcLpfeeustbd26VSNHjtScOXP0\n5z//WfPnz+9ygQAAAEAomAblrKws1dbWqr6+Xq2trdq0aZOys7M79MnOztbGjRslSbt27VJSUpKG\nDh2qlStXqqGhQQcOHNBLL72kq6++2tcPAAAACHemUy9iYmJUUlKiqVOnyuPxKC8vT5mZmVq7dq0k\nKT8/X9OnT9f27duVkZGh/v37a926dYbnYtULAAAA9CWWG45MmzZN06ZN6/Bafn5+h+clJSWm57jq\nqqt01VVXdaM8AAAAIDTYwhoAAAAwQFAGAAAADBCUAQAAAAMEZQAAAMAAQRkAAAAwQFAGAAAADBCU\nAQAAAAMEZQAAAMAAQRkAAAAwYLkzHwAA6JlBCQlas3KlaTuA8ENQBgCglw2Mj9eSGTP8tpdt3hzE\nagB0FlMvAAAAAAOMKAfIgf37VVRcHOoyAAARym63y2az+W13OBxqamoKYkVA5CMoB4invV1LCgr8\ntlcsXBjEagAAkcbj8aiurs5ve3p6ehCrAaIDUy8AAAAAAwRlAAAAwABBGQAAADDAHGUAAMx4vaZr\nIEusgwxEKoIyAAAmEuPiTNdAllgHGYhUTL0AAAAADBCUAQAAAAMEZQAAAMAAQRkAAAAwQFAGAAAA\nDBCUAQAAAAMEZQAAAMAAQRkAAAAwQFAGAAAADBCUAQAAAAMEZQAAAMAAQRkAAAAwQFAGAAAADMSE\nugAAAPo8r1drVq702xxrt/d6CXa7XTabzW+7w+FQU1NTr9cBRBKCMgAAPZQYF6clM2b4ba8oLzc/\ngUXQlqRBCQmm7R6PR3V1dX7b09PTzWsAcBaCMgAAIWYVtCWpbPPmIFUD4FvMUQYAAAAMEJQBAAAA\nAwRlAAAAwABBGQAAADBAUAYAAAAMEJQBAAAAAwRlAAAAwABBGQAAADBAUAYAAAAMEJQBAAAAAwRl\nAAAAwABBGQAAADBAUAYAIArY7XbZbDbTh9PpND2H0+ns8TmAviQm1AUAAIDe5/F4VFdXZ9onPT3d\ntL25ubnH5wD6EkaUAQAAAAMEZQAAAMAAQRkAAAAwQFAGAAAADHAzHwAAUWBQQoLWrFxp2QfAPxCU\nAQCIAgPj47VkxgzTPmWbNwepGqBvYOoFAAAAYICgDAAAABggKAMAAAAGmKMMAAAkybcNdU8MSkjQ\nL5ct89uemJSk5StW9Og9gGAhKAMAAEmS1+s13aK6M9tTD4yPV2FOjt/2x8vKulUbEApMvQAAAAAM\nEJQBAAAAAwRlAAAAwABzlAEAwDe8XtPd+9i5D9GGoAwAQASw2qI61m63PEdiXJzp7n3s3IdoQ1AG\nACACWG1RXVFeHsRq/CstLdXDTzzht93hcKipqSmIFQH+WQblyspKLV26VB6PRwsWLNC99957Vp+C\nggJVVFQoMTFR69ev14QJE9TQ0KD58+fr2LFjstlsuuOOO1RQUNArFwEAAMKDzWZTUXGx3/bTra09\nXoIOCBbToOzxeLR48WLt2LFDLpdLEydOVHZ2tjIzM319tm/frn379qm2tlbV1dVatGiRdu3apdjY\nWK1evVqXXnqpWlpadPnll+u6667rcCwAAIgsXq9XS0wGxspyc4NYDdAzpkF59+7dysjIUFpamiRp\n9uzZ2rJlS4ewu3XrVuX+/UM/adIkud1uHT16VEOHDtXQoUMlSQMGDFBmZqYOHTp0VlAuKiry/XvK\nlCmaMmVKAC4LAAAA0ayqqkpVVVU9OodpUG5sbNTw4cN9z1NTU1VdXW3Z5+DBg0pJSfG9Vl9fr5qa\nGk2aNOms9/huUAYAAAAC4fsDsMUmU4L8MV1HubP7vXu9Xr/HtbS0aObMmVqzZo0GDBjQ5QIBAACA\nUDANyi6XSw0NDb7nDQ0NSk1NNe1z8OBBuVwuSdKZM2eUk5OjefPm6cYbbwxk3QAAAECvMg3KWVlZ\nqq2tVX19vVpbW7Vp0yZlZ2d36JOdna2NGzdKknbt2qWkpCSlpKTI6/UqLy9PY8eO1dKlS3vvCgAA\nAIBeYDpHOSYmRiUlJZo6dao8Ho/y8vKUmZmptWvXSpLy8/M1ffp0bd++XRkZGerfv7/WrVsnSXrz\nzTf1wgsv6JJLLtGECRMkSatWrdL111/fy5cEAEAEstg1rzMbigDoGst1lKdNm6Zp06Z1eC0/P7/D\n85KSkrOO++d//me1t7f3sDwAACBZ75oXLhuKAJHEdOoFAAAAEK0IygAAAIABgjIAAABggKAMAAAA\nGCAoAwAAAAYIygAAAIABgjIAAAgbdrtdNpvN9OF0OkNdJqKE5TrKAAAAweLxeFRXV2faJz09PUjV\nINoxogwAAAAYICgDAAAABgjKAAAAgAGCMgAAAGCAoAwAAAAYICgDAAAABgjKAAAAgAGCMgAAAGCA\noAwAAPoUq9372LkPgcLOfAAAoE+x2r2PnfsQKIwoAwCAiMKIMwKFEWUAABBRGHFGoDCiDAAAABhg\nRBkAAHSO16s1K1eadom124NUDND7CMoAAKBTEuPitGTGDNM+FeXlPXqPQQkJlmF8UEJCj94D6CyC\nMgAACBsD4+Mtw3jZ5s1BqgbRjjnKAAAgqlitisHKGPgWI8oAACB4LOY5B2OOs9WqGBIrY+AbBGUA\nABA0VvOcezrHGQgkpl4AAAAABhhRBgAAfYvF9A1WxUCgEJQ74cD+/SoqLg51GQAAQNbTN8rKynoc\npL+94c8fh8OhpqYmy/OgbyMod4KnvV1LCgpM+1QsXBikagAAgBnLIN2J5eXYBhsSc5QBAAAAQwRl\nAAAAwABBGQAAADBAUAYAAOgiq9392NkvMnAzHwAAQBdxs190YEQZAAAAMEBQBgAAAAwQlAEAAAAD\nzFEGAADRxWILbEk6b8AAtskGQRkAAEQXq537JKmivLzHu/uh72PqBQAAAGCAoAwAABBgVusss9Zy\n38DUCwAAgACzWmdZkn7wgx/IZrP5bY+JiVFbW5vpORwOh5qamrpVI6wRlAEAAEKgM5uWWIVtNjbp\nXUy9AAAAAAwQlAEAAAADBGUAAADAAHOUAQAAQmBQQgKbmoQ5gjIAAEAIDIyPZ1OTMMfUCwAAgD7K\nar1m1mruGUaUAQAA+qjOLDFnxul0qrm52bTPkKQkLbztNr/tiUlJWr5ihek5+iqCMgAAQDjyek3n\nMEvW85iTEhOVajKqbD9zRgV5eabn2Lpliwpzcvy2P15WZnp8X0ZQBgAACEOJcXGmc5gl63nM/ePi\n9JcNG/y2X79woeV7VJSXm7ZHMoIyAABAgFmtaCFJsXZ7kKpBdxGUAQAAAsxqRQup74zU2iQVFRf7\nbf/De+/p4See8NvucDjU1NTUC5X1PoIyAABAV1nMH46k0WKvpCUFBX7by3JzTW8o/MEPfiCbzWb6\nHuEapgnKAAAAXWQ1fzhoo8V9ILBbrcwhWa/OESoEZQAAgD4qbAJ7hCIoAwAAoPssRrX78lbcfT4o\nrywu1im322/7hx98IJms/QcAAIDusxrVLisrs1wBJCkx0XQec0xMjNra2kzP0RvznPt8UD7ldpsu\ngj337bctz3Fg/37TuzkBAADQPZ1dD/rdv/7Vb/uEiy7Sbbm5pufYWFpqedNgV/X5oBwInvZ207s5\nKxYuDGI1AAAA+K7OLLdnFba7c8MgQRkAAAChFaardxCUAT9OtbaGugTAEJ9NhDM+n+iOcF29o59V\nh8rKSo0ZM0ajR4/Wo48+atinoKBAo0eP1vjx41VTU9OlY4Fw9Te+2SNM8dlEOOPziUhiOqLs8Xi0\nePFi7dixQy6XSxMnTlR2drYyMzN9fbZv3659+/aptrZW1dXVWrRokXbt2tWpYwEAAICAsJi+0R2m\nQXn37t3KyMhQWlqaJGn27NnasmVLh7C7detW5f79LsRJkybJ7XbryJEjOnDggOWxAAAAQCBYTd94\n8tlnu35Sr4lXXnnFu2DBAt/z559/3rt48eIOfX7yk59433zzTd/za665xvvOO+94X331Vctj9c32\n4Tx48ODBgwcPHjx49Pqjq0xHlDu7Ft03mbfrunscAAAA0NtMg7LL5VJDQ4PveUNDg1JTU037HDx4\nUKmpqTpz5ozlsQAAAEC4Ml31IisrS7W1taqvr1dra6s2bdqk7OzsDn2ys7O1ceNGSdKuXbuUlJSk\nlJSUTh0LAAAAhCvTEeWYmBiVlJRo6tSp8ng8ysvLU2ZmptauXStJys/P1/Tp07V9+3ZlZGSof//+\nWrdunemxAAAAQF9g84ZoonBlZaWWLl0qj8ejBQsW6N577w1FGYChtLQ0DRo0SHa7XbGxsdq9e3eo\nS0KU+vnPf65t27ZpyJAh+uvft2ZtamrSzTffrM8++0xpaWl6+eWXlZSUFOJKEY2MPp9FRUV65pln\nlJycLElatWqVrr/++lCWiSjU0NCg+fPn69ixY7LZbLrjjjtUUFDQ5e+flhuO9IZv11iurKzU3r17\nVVpaqo8//jgUpQCGbDabqqqqVFNTQ0hGSN1+++2qrKzs8Nojjzyi6667Tp9++qmuueYaPfLIIyGq\nDtHO6PNps9l09913q6amRjU1NYRkhERsbKxWr16tjz76SLt27dJvf/tbffzxx13+/hmSoPzd9Zlj\nY2N9aywD4YRVWRAOrrzySjkcjg6vfXf9+tzcXL322muhKA0w/HxKfP9E6A0dOlSXXnqpJGnAgAHK\nzMxUY2Njl79/hiQoNzY2avjw4b7nqampamxsDEUpgCGbzaZrr71WWVlZevrpp0NdDtDB0aNHlZKS\nIklKSUnR0aNHQ1wR0NFTTz2l8ePHKy8vT263O9TlIMrV19erpqZGkyZN6vL3z5AE5c6uzwyEyptv\nvqmamhpVVFTot7/9rXbu3BnqkgBDNpuN76kIK4sWLdKBAwf0/vvva9iwYSosLAx1SYhiLS0tysnJ\n0Zo1azRw4MAObZ35/hmSoNyZ9ZmBUBo2bJgkKTk5WT/96U+Zp4ywkpKSoiNHjkiSDh8+rCFDhoS4\nIuAfhgwZ4gsgCxYs4PsnQubMmTPKycnRrbfeqhtvvFFS179/hiQos8YywtmpU6d08uRJSdLXX3+t\nP/3pT7r44otDXBXwD9nZ2dqwYYMkacOGDb4fAEA4OHz4sO/ff/jDH/j+iZDwer3Ky8vT2LFjtXTp\nUt/rXf3+GbLl4SoqKnzLw+Xl5en+++8PRRnAWQ4cOKCf/vSnkqS2tjbNnTuXzydCZs6cOXr99df1\n5ZdfKiUlRQ899JBmzJihWbNm6fPPP2d5OITU9z+fxcXFqqqq0vvvvy+bzaaRI0dq7dq1vjmhQLC8\n8cYbmjx5si655BLf9IpVq1bphz/8YZe+f4YsKAMAAADhLCRTLwAAAIBwR1AGAAAADBCUAQAAAAME\nZQAAAMAAQRkAAAAwQFAGAAAADPw/QzegZjhWcMgAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1783e1fd0>" | |
] | |
} | |
], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The peak shifts when smoothed -- these are single-channel spikes\n", | |
"\n", | |
"Let's try the same thing, but smooth spatially" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy import signal\n", | |
"\n", | |
"s = (cube[:, ::2, ::2] + cube[:, 1::2, ::2] + cube[:, ::2, 1::2] + cube[:, 1::2, 1::2]) / 4.\n", | |
"s = np.nanmax(s, axis=0)\n", | |
"\n", | |
"plt.figure(figsize=(12, 8), dpi=500)\n", | |
"h = plt.hist(pk12.ravel(), bins=80, range=[0, 20], normed=True, label='Data', fc = '#dddddd')\n", | |
"h = plt.hist(s.ravel(), bins=80, alpha=0.5, range=[0, 20], normed=True, label='Spatially Smoothed', fc='#dd8888')\n", | |
"plt.legend()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 17, | |
"text": [ | |
"<matplotlib.legend.Legend at 0x17818d190>" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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GAABEIqZeAAAAACYIygAAAIAJgjIAAABggqAMAIhqDoeDVXYAmOJmPgDAkPX1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\nRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x17815c4d0>" | |
] | |
} | |
], | |
"prompt_number": 17 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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