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A gallery of window functions in SciPy
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# A Gallery of SciPy's Window Functions" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## This is mostly for quick visual reference and comparison between windows" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import scipy.signal as sig\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"n_points = 1025" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##1. Bartlett-Hann Window\n", | |
"## $ w(n) = a_{0} - a_{1} \\left|\\frac{n}{N - 1} - \\frac{1}{2}\\right| - \\cos(\\frac{2\\pi n}{N - 1})$\n", | |
"## $a_{0} = 0.62, a_{1} = 0.48, a_{2} = 0.38$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3221be310>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb322250450>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.barthann(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Bartlett-Hann')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##2. Bartlett Window\n", | |
"##$ w(n) = \\frac{2}{M - 1}(\\frac{M - 1}{2} - \\left|n - \\frac{M - 1}{2}\\right|) $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321f37210>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb32221f050>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.bartlett(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Bartlett')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##3. Blackman Window\n", | |
"## $ w(n) = 0.42 - 0.5 \\cos(2\\pi n/M) + 0.08 \\cos(4\\pi n/M) $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3220e46d0>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb32211f850>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.blackman(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Blackman')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##4. Blackman-Harris Window\n", | |
"##$ w(n) = a_{0} - a_{1}\\cos(\\frac{2\\pi n}{N - 1}) + a_{2}\\cos(\\frac{4\\pi n}{N - 1}) - a_{3}\\cos(\\frac{6\\pi n}{N - 1}) $\n", | |
"##$ a_{0} = 0.38575, a_{1} = 0.48829, a_{2} = 0.14128, a_{3} = 0.01168 $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb32201f890>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb322060690>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.blackmanharris(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Blackman-Harris')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##5. Bohman Window\n", | |
"##$ w(n) = (1 - |x|)\\cos(\\pi|x|) + \\frac{1}{\\pi}\\sin(\\pi|x|) $\n", | |
"##$ x \\in [-1, 1] $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb322007750>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321d9f990>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.bohman(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Bohman')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##6. Boxcar window\n", | |
"(from the docs: included for correctness, equivalent to no window at all.)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321c6e4d0>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": [ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321d2bdd0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.boxcar(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Boxcar')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##7. Dolph-Chebyshev Window\n", | |
"##$ W(k) = \\frac\n", | |
"{\\cos\\{M \\cos^{-1}[\\beta \\cos(\\frac{\\pi k}{M})]\\}}\n", | |
"{\\cosh[M \\cosh^{-1}(\\beta)]} $\n", | |
"##$ \\beta = \\cosh \\left [\\frac{1}{M}\n", | |
"\\cosh^{-1}(10^\\frac{A}{20}) \\right ] $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321bc5b10>" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321c6a790>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.chebwin(n_points, at=100)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Dolph-Chebyshev (attenutation 100 dB)')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##8. Cosine Window\n", | |
"##$ w(n) = \\sin(\\frac{\\pi n}{N - 1}) $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321b03510>" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321b2e2d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.cosine(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Cosine')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##9. Flat Top Window\n", | |
"##$ w(n) = \\sum\\limits_{k=0}^4 (-1)^{k} a_{k}\\cos(\\frac{2\\pi kn}{N-1}) $\n", | |
"##$ a_{0} = 0.2156, a_{1} = 0.4160, a_{2} = 0.2781, a_{3} = 0.0836, a_{4} = 0.0069 $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321a34810>" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321a7da10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.flattop(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Flat Top')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##10. Gaussian Window\n", | |
"##$ w(n) = e^{ -\\frac{1}{2}\\left(\\frac{n}{\\sigma}\\right)^2 } $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321978210>" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3219ae0d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.gaussian(n_points, std=130)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Gaussian ($\\sigma$=130)')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##11. Generalized Gaussian\n", | |
"##$ w(n) = e^{ -\\frac{1}{2}\\left|\\frac{n}{\\sigma}\\right|^{2p} } $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3218b1a10>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321936e10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.general_gaussian(n_points, sig=150, p=1.5)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Generalized Gaussian ($\\sigma$=150, $p=1.5$)')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##12. Hamming Window\n", | |
"##$ w(n) = 0.54 - 0.46 \\cos\\left(\\frac{2\\pi{n}}{M-1}\\right) \\qquad 0 \\leq n \\leq M-1 $" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3217c48d0>" | |
] | |
}, | |
"execution_count": 14, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3219c3f50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.hamming(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Hamming')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##13. Hanning(Hann) Window\n", | |
"##$w(n) = 0.5 - 0.5 \\cos\\left(\\frac{2\\pi{n}}{M-1}\\right)\n", | |
"\\qquad 0 \\leq n \\leq M-1$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3216f0e10>" | |
] | |
}, | |
"execution_count": 15, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321744050>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.hann(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Hann')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##14. Kaiser Window\n", | |
"##$ w(n) = I_0\\left( \\beta \\sqrt{1-\\frac{4n^2}{(M-1)^2}} \\right)/I_0(\\beta) $\n", | |
"##$ \\quad -\\frac{M-1}{2} \\leq n \\leq \\frac{M-1}{2}, $\n", | |
"###where $ I_{0} $ is the modified 4th order Bessel Function" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3216a0f50>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321674250>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.kaiser(n_points, beta=14)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Kaiser (beta=14)')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##15. Nuttall Window\n", | |
"##$ w(n) = \\sum\\limits_{k=0}^3 (-1)^{k} a_{k}\\cos(\\frac{2\\pi kn}{N-1}) $\n", | |
"##$a_{0} = 0.3635819, a_{1} = 0.4891775, a_{2} = 0.1365995, a_{3} = 0.0106411$\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3215c4f10>" | |
] | |
}, | |
"execution_count": 17, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb32160a410>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.nuttall(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Nuttall')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##16. Parzen Window\n", | |
"### 4 - fold convolution of a rectangular window" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb321596850>" | |
] | |
}, | |
"execution_count": 18, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb32158d8d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.parzen(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Parzen')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##17. Slepian (DPSS) Window" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3214d75d0>" | |
] | |
}, | |
"execution_count": 19, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3214e0350>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.slepian(n_points, width=0.02)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('DPSS (width=0.002)')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##18. Triangular Window" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x7fb3213c9b10>" | |
] | |
}, | |
"execution_count": 20, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321411910>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"window = sig.triang(n_points)\n", | |
"plt.figure(figsize=(12, 8))\n", | |
"plt.plot(window)\n", | |
"plt.xlim([0, n_points])\n", | |
"plt.title('Triangular')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#Overlay of all windows" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fb3212ded50>" | |
] | |
}, | |
"execution_count": 21, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": [ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb321361f50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"arg_map = {\n", | |
"'barthann': [sig.barthann, dict(M=n_points)],\n", | |
"'bartlett': [sig.bartlett, dict(M=n_points)],\n", | |
"'blackman': [sig.blackman, dict(M=n_points)],\n", | |
"'blackmanharris': [sig.blackmanharris, dict(M=n_points)],\n", | |
"'bohman': [sig.bohman, dict(M=n_points)],\n", | |
"'boxcar': [sig.boxcar, dict(M=n_points)],\n", | |
"'chebwin': [sig.chebwin, dict(M=n_points, at=100)],\n", | |
"'cosine': [sig.cosine, dict(M=n_points)],\n", | |
"'flattop': [sig.flattop, dict(M=n_points)],\n", | |
"'gaussian': [sig.gaussian, dict(M=n_points, std=130)],\n", | |
"'general_gaussian': [sig.general_gaussian, dict(M=n_points, sig=150, p=1.5)],\n", | |
"'hamming': [sig.hamming, dict(M=n_points)],\n", | |
"'hann': [sig.hann, dict(M=n_points)],\n", | |
"'kaiser': [sig.kaiser, dict(M=n_points, beta=14)],\n", | |
"'nuttall': [sig.nuttall, dict(M=n_points)],\n", | |
"'parzen': [sig.parzen, dict(M=n_points)],\n", | |
"'selpian': [sig.slepian, dict(M=n_points, width=0.02)],\n", | |
"'triang': [sig.triang, dict(M=n_points)]\n", | |
"}\n", | |
"\n", | |
"plt.figure(figsize=(15, 15))\n", | |
"plt.xlim([0, n_points])\n", | |
"for name, calldata in arg_map.iteritems():\n", | |
" function, args = calldata\n", | |
" window = function(**args)\n", | |
" plt.plot(window, label=name)\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.9" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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There's a bunch of messed up TeX equations: Hanning, Dolph-Chebyshev, etc.