diff options
| author | Yuval Adam <_@yuv.al> | 2018-05-08 13:29:03 +0300 |
|---|---|---|
| committer | Yuval Adam <_@yuv.al> | 2018-05-08 13:29:03 +0300 |
| commit | 1081cec7f78f31b731c21504a956d5f7d3e17b06 (patch) | |
| tree | efce6cacb1fd5f7271031b50fd712d90c451ea7f /talk.ipynb | |
| parent | 0abf43012af23b6e5ab0853bdd7cd9683dfe74e8 (diff) | |
Initial talk slides
Diffstat (limited to 'talk.ipynb')
| -rw-r--r-- | talk.ipynb | 178 |
1 files changed, 178 insertions, 0 deletions
diff --git a/talk.ipynb b/talk.ipynb new file mode 100644 index 0000000..422009b --- /dev/null +++ b/talk.ipynb @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Pulling Radio Data out of Thin Air\n", + "\n", + "## Pycon Israel 2018" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Agenda\n", + "\n", + " - What are radio waves?\n", + " - Hardware radios" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Radio Waves\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## RTL-SDR\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# I/Q Sampling\n", + "\n", + "" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "modulator_frequency = 4.0\n", + "carrier_frequency = 40.0\n", + "modulation_index = 1.0\n", + "size = 44100.0 * 2\n", + "\n", + "time = np.arange(size) / size\n", + "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", + "carrier = np.sin(2.0 * np.pi * carrier_frequency * time)\n", + "\n", + "product = np.zeros_like(modulator)\n", + "for i, t in enumerate(time):\n", + " product[i] = np.sin(2. * np.pi * (carrier_frequency * t + modulator[i]))\n", + "\n", + "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", + "amp = np.zeros_like(modulator)\n", + "for i, t in enumerate(time):\n", + " amp[i] = np.sin(2. * np.pi * (carrier_frequency * t * modulator[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplot(4, 1, 1)\n", + "plt.title('Frequency Modulation')\n", + "plt.plot(modulator)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Modulator signal')\n", + "\n", + "plt.subplot(4, 1, 2)\n", + "plt.plot(carrier)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Carrier signal')\n", + "\n", + "plt.subplot(4, 1, 3)\n", + "plt.plot(product)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Output signal')\n", + "\n", + "plt.subplot(4, 1, 4)\n", + "plt.plot(modulator * carrier)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Output signal')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "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": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} |
