{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Window functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Stingray` now has a bunch of window functions that can be used for various applications in signal processing.\n", "\n", "Windows available include:\n", "1. Uniform or Rectangular Window\n", "2. Parzen window\n", "3. Hamming window\n", "4. Hanning Window\n", "5. Triangular window\n", "6. Welch Window\n", "7. Blackmann Window\n", "8. Flat-top Window" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All windows are available in `stingray.utils` package and called be used by calling `create_window` function. Below are some of the examples demonstrating different window functions. " ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from stingray.utils import create_window\n", "\n", "from scipy.fftpack import fft, fftshift, fftfreq\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`create_window` function in `stingray.utils` takes two parameters. \n", "\n", "1. `N` : Number of data points in the window\n", "2. `window_type` : Type of window to create. Default is `uniform`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Uniform Window " ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 100\n", "window = create_window(N)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Uniform window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Haroon Rashid\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:4: RuntimeWarning: divide by zero encountered in log10\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hJB1HrtJY7aFYWFhYeNBqd1CoWY2iLzCSiVuNwsLCou+QrzbBGKxG0Q8YSSeQq1qNwsLC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\neAeAZwD4dQBvWc5B9Sv6If6514Q7Hd21IoPGYtiP7yhGdf3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Uniform window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parzen Window" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 100\n", "window = create_window(N, window_type='parzen')" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1walvt1gm9k3g1aW7qKm1e10DUWMthS24WgVTVXWiuxDUertjVa0B7gM+BjYD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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Parzen window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JZBYQEc5f3cLu4746y4cPH/OPfQMxALYuX5hUJ274JDJLbO1u5vDwNLm8X+PUhw8f84tn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\nkuaEEIm3rSNlNwsfsd65rASOlXSpmb2cerCk9YPve0Mws4826lz9MAM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Parzen window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hamming Window" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='hamming')" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eJLWVtRbqSk1aClcAHVR1sKoOdT+sIPixt3/YzN7CUu4dbq0E47tuPbuytbDe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\nKlYUjDHGVLGiYIwxpooVBWOMMVX+HwMypbVyYD+xAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Hamming window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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U1huunpbLjCF9GNI3iffWF5NfVMGe0ipumDmE00b2ZWS/FN5Zt49DVbV8sLHY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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Hamming window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hanning Window" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='hanning')" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mKKzFNU7zqRoAZKrqFlUtAt4FxpxgvbuAj4Dc09iGOUWuVsIWhnVuzlnWSjB+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\n7A5lY8zpU1U+SMvhz7PWc6y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Hanning window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Haroon Rashid\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:4: RuntimeWarning: divide by zero encountered in log10\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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a1poTP8t81dQ7QiSYXVDVqtAbdvhA/Auw9W0+5DPqQhFZZ30QkbVA4dwNiU3A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\nM5F4j0qq8iGniaMXCIOL9i5bnApp5n0ijlN3shwwpgfyQ+Z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TlHyXzsjwNZExTvgC/QFR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\nOI5TMS5EHMdxnIpxIeI4juNUzP8HWIkMz2GBd4EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Hanning window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Traingular Window" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='triangular')" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o8umSTTsZN7QXLRvoV5FI64ZH8/CwXiz6cge3K1H1iB3W9Yvu/lVweehZYRUk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\ntDCzViGWJylCTUGSyXHAZnf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Traingualr window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YNpRe9lgvKyg0rO9PAgCOzZVWuCUWFhYW7Tg0U8TmVctLOwFWULjQn4oiHQtjNGs1CgsL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\nwiRcIAxChKBMgiIICgqIRgUZVFCR93woCwcUn/rUh4gIOIC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Triangular window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Welch Window" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='welch')" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SYL4zzTSwrzYUs2hLCT84p7P95zSmERxuLRTvr+Tlb7a4Hccv1Gc8hUuAjcCT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\nxFN9r8m0J5iNMf7p/J5taNm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Welch window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Haroon Rashid\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:4: RuntimeWarning: divide by zero encountered in log10\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iZydNri0Dg/WAB23X3fe89GL+0/H9PHByjtdcvZXxhQIvuNiKTuhNWdqFYzaJ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\nyxoUiqQ96TbvA26U9Nck7rZ9w/GlwB1N1z0ejmWQdApwCsD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Welch window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Blackmann's Window" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='blackmann')" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MdQVuxzE+8KUoNAPWiMinXk1S3/PhdSlAvtf0FmfeYSKSAlwKPONrYOOeyXPy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\nuR3NGONH+XtLeOTzdbyzZCs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Blackmann window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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f289k54Ea3lpnCd7jC3cwql8Kb3/tXA7W1PPsMisOjy3cQXZqPIu+exFRUVar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\n8Cmst9evNcZs6UKbhonIWqAS+JEx5kN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Blackmann window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flat Top Window" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50\n", "window = create_window(N, window_type='flat-top')" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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r9ftwdcucKfQO+Nhy1CY4jzWW8E1Qvby7gSkTk1mQn+F2KOYCri7JJiMlgZf3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\nMSZGWMI3xpgYYQnfGGNihCV8Y4yJEf8Xqz66jDo2m7oAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(window)\n", "plt.title(\"Flat-top window\")\n", "plt.ylabel(\"Amplitude\")\n", "plt.xlabel(\"Sample Number (n)\")" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RFMXHs5/soryuiW9/fnJYDpekSmSASIiN5vbTx/PprlpW76oJtTiKogwC2toNf12yg4Ix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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nfft = 2048\n", "A = fft(window,nfft ) / (len(window)/2.0)\n", "freq = fftfreq(nfft)\n", "response = 20 * np.log10(np.abs(fftshift(A/(abs(A).max()))))\n", "plt.plot(freq, response)\n", "plt.title(\"Frequency response of the Flat-top window\")\n", "plt.ylabel(\"Magnitude [dB]\")\n", "plt.xlabel(\"Normalized frequency [cycles per sample]\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 2 }